arXiv subjects

Omar Mustafa

Publications and source records attributed to Omar Mustafa.

At least 19 recordsLinked to original sources

arXiv2026

Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes

We investigate the impact of spontaneous Lorentz symmetry breaking on scalar wave propagation, null geodesics, and thermodynamic behavior of four-dimensional asymptotically AdS black holes in bumblebee gravity. The static, spherically symmetric solutions are characterized by a dimensionless parameter $\ell > -1$ arising from the vacuum expectation value of the bumblebee vector field, which globally rescales the radial geometry. Massless scalar fields are analyzed via the radial Klein--Gordon equation cast into a generalized Helmholtz form, yielding an effective frequency-dependent refractive index that identifies oscillatory and evanescent regions, classical turning points, and confinement induced by curvature and Lorentz violation. In the high-frequency limit, wave propagation coincides with null geodesics, with $\ell$ controlling radial scaling and governing the geometric-optics limit. The AdS boundary reflects waves, while the horizon acts as a one-way absorber. Thermodynamic analysis in non-extended and extended phase spaces confirms the first law and Smarr relation, with $\ell$ influencing heat capacity, free energy, and stability. \textcolor{black}{Modeling these black holes as heat engines, we construct explicit cycles and show that efficiency increases with $\ell$, leading to an upper bound imposed by $\eta \leq 1$. Our results provide a framework connecting Lorentz violation, wave propagation, geometric optics, and AdS black hole thermodynamics in bumblebee gravity.

gr-qc↗

arXiv2026

Spectroscopic structure of Non-Hermitian $\mathcal{PT}$-Symmetric Klein--Gordon Fields in a Magnetized Cosmic String Spacetime

We investigate non-Hermitian $\mathcal{PT}$-symmetric Klein--Gordon (KG) fields in a magnetized cosmic string spacetime. A complex non-minimal scalar interaction, $\mathcal{F}_{\mu}=(0,\mathcal{F}_{r},0,0)$ with $\mathcal{F}_{r}=\omega r+ib\in\mathbb{C}$, indulged with a magnetic charge $q=ie$, is shown to introduce an effective $\mathcal{PT}$-symmetric Klein--Gordon oscillator supplemented by complex Coulombic and linear interactions. The resulting radial equation is shown to be conditionally exactly solvable using a biconfluent Heun series-to-polynomial approach. To observe non-Hermitian $\mathcal{PT}$ symmetrization, we compare with the Hermitian counterpart by mapping $e=-i\tilde e \Rightarrow q\in \mathbb R$ and $b=-i\tilde b \Rightarrow \mathcal F_r\in \mathbb R$. In the limiting case $\omega=0$, the system is shown to reduce to an exactly solvable non-Hermitian $\mathcal{PT}$ symmetric Coulomb-type KG equation using confluent hypergeometric series/polynomials. Hereby, for both $\mathcal{PT}$ symmetric models considered, we show that non-Hermitian $\mathcal{PT}$ symmetrization introduces an upper limit for the allowed energies, unlike the corresponding Hermitian cases. These results provide an analytically tractable framework for exploring non-Hermitian relativistic quantum fields in curved spacetimes and demonstrate the role of $\mathcal{PT}$-symmetry in regulating the allowed spectrum.

gr-qc↗

arXiv2026

Phase-space structure and nonlinear dynamics of a charged particle on a helicoidal manifold under a magnetic field

We analyze the classical dynamics of a charged particle constrained to a helicoidally embedded Riemannian manifold in $\mathbb{R}^3$ under a uniform magnetic field in the ambient space. The induced metric $ds^2=du^2+(1+w^2u^2)dv^2$ and the pulled-back symmetric gauge yield an exact reduction to a one-dimensional nonlinear Hamiltonian system. The resulting effective potential couples geometry and magnetic field, producing transitions between bounded and unbounded motion and a reorganization of phase-space topology. In the asymptotic regime, the dynamics reduces to a harmonic oscillator with $\omega_{\mathrm{eff}}=\omega_c/2$ and $\ell=\sqrt{2}\,\ell_\mathcal{B}$. The system admits a Landau-type semiclassical spectrum and exhibits a geometry--magnetic control parameter $\Lambda=q\mathcal{B}+\hbar k_v w$ governing a chirality transition.

physics.class-ph↗

arXiv2026

Non-Hermitian $\mathcal{PT}$ symmetric Klein-Gordon fields in Lorentz-violating wormholes spacetime background

We investigate a $\mathcal{PT}$-symmetric Klein--Gordon (KG) oscillator in a $(3+1)$-dimensional Lorentz-violating (LV) traversable wormhole spacetime. The geometry is characterized by a smooth throat of radius $a$ and a constant lapse function, $\mathcal{A}(x)=1$, so that no Killing horizons occur and the two asymptotic regions at $x\to \pm\infty$ remain connected through the throat. The Lorentz violation modifies the radial geometry and the oscillator scale according to $\widetilde{\Omega}=\Omega/\sqrt{1-\zeta}$. A nonminimal non-Hermitian coupling, $\mathcal{F}_t(x)=i\widetilde{\Omega}x$, leads to a $\mathcal{PT}$-symmetric KG oscillator with a regular effective potential at the throat and a quadratic confinement at large $|x|$. The radial equation can be mapped to the confluent Heun equation, and polynomial truncation gives a conditionally exactly solvable sector in which the oscillator frequency, throat radius, LV parameter, angular momentum, and radial quantum number satisfy algebraic constraints. For the degree-1 sector, these conditions restrict the allowed angular momenta and correlate them with the LV parameter. The resulting bound-state energies are real and discrete, with exact particle--antiparticle symmetry, $E^{-}=-E^{+}$, while the corresponding wave functions are regular and localized on the two-sided wormhole geometry. These results show how Lorentz violation and the $\mathcal{PT}$-symmetric coupling modify the relativistic bound-state spectrum through the geometry of the wormhole.

gr-qc↗

arXiv2026

Lorentz-Violating Wormhole Optics

We study massless spin-1 field propagation in a static, circularly symmetric $(2+1)$-dimensional wormhole with spatial Lorentz-violating anisotropy characterized by the throat radius $a$ and deformation parameter $\eta$. The geometry is horizon-free, geodesically complete, and asymptotically flat, with negative Gaussian curvature localized near the throat. Using the fully covariant vector boson formalism and covariant Maxwell theory, we derive an exact Schr\"odinger-type radial equation with a curvature-induced effective potential. Recasting the dynamics in Helmholtz form yields an effective refractive-index profile, showing that the wormhole acts as an inhomogeneous optical medium with position-dependent refractive index and frequency-dependent confinement, where low-frequency modes are strongly trapped while high-frequency modes propagate almost freely. A differential-geometric correspondence with helicoidal surfaces is established via $1/[a^2(1-\eta)] \leftrightarrow w^2$, demonstrating that Lorentz-violation-induced curvature is mathematically equivalent to curvature generated by geometric twist and linking the model to twisted graphene nanoribbons as analog-gravity platforms. These results provide a geometric framework for curvature-driven localization, dispersion, and anisotropic wave propagation in topologically nontrivial $(2+1)$-dimensional backgrounds.

gr-qc↗

arXiv2026

Wave Propagation and Effective Refraction in Lorentz-Violating Wormhole Geometries

We study the propagation of massless scalar waves in static, spherically symmetric Lorentz-violating wormhole spacetimes within a geometric-optical framework. Starting from a general metric characterized by an arbitrary lapse function and areal radius, we derive curvature invariants, establish regularity conditions at the wormhole throat, and reduce the Klein-Gordon equation to a Helmholtz-type radial wave equation. This formulation naturally leads to a position- and frequency-dependent effective refractive index determined by the underlying spacetime geometry and Lorentz-violating structure, resulting in effective frequency-dependent wave-optical behavior. We show that divergences of the refractive index coincide with Killing horizons, while curvature-induced turning points control reflection, transmission, and confinement of scalar waves. By analyzing constant, linear, and quadratic lapse profiles, we identify horizonless transmission regimes, asymmetric wave propagation, and multi-horizon trapping structures. Our results reveal that Lorentz violation can significantly modify wave-optical properties of curved spacetime, generating graded-index analogues and geometric confinement of modes without curvature singularities. This unified optical perspective provides a robust framework for investigating wave scattering, resonances, and potential observational signatures in Lorentz-violating gravitational backgrounds.

gr-qc↗

arXiv2025

Schr\"odinger and Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity: Degree-one Confluent Heun polynomial correspondence

We investigate Schr\"odinger and Klein-Gordon (KG) oscillators in the spacetime of a global monopole (GM) within Eddington inspired Born-Infeld (EiBI) gravity, including, in the relativistic sector, the coupling to a Wu-Yang magnetic monopole (WYMM). By reducing the radial equations to the confluent Heun form and enforcing termination of the Heun series, we obtain conditionally exact solutions in which the radial eigenfunctions truncate to polynomials of degree $(n+1)\geq 1$. This truncation imposes algebraic constraints that quantize the oscillator frequency and restrict the values allowed for the orbital angular momenta $\ell$. In the lowest nontrivial case $n=0$, the degree-one Heun polynomial yields a closed analytic expression for the frequency and determines a finite upper bound on $\ell$, dictated jointly by the EiBI deformation and the GM deficit. The resulting parametric correlations reveal a sharp geometric control of the spectrum: EiBI nonlinearities and the angular deficit fix the admissible bound states through polynomial truncation conditions. The confluent Heun correspondence is made explicit, providing a rigorous and reproducible framework for extracting analytical solutions from otherwise non-polynomial Heun structures. Applying the same method to the KG oscillator with a WYMM, we derive conditionally exact particle and antiparticle energies in a closed form. The relativistic spectrum exhibits perfect charge symmetry and a precise dependence on the WYMM strength, the EiBI parameter and the angular momentum constraint. To the best of our knowledge, this constitutes the first unified and fully consistent treatment of conditionally exact Schr\"odinger and Klein-Gordon oscillators in EiBI gravity based on a degree-one confluent Heun polynomial.

physics.gen-ph↗

arXiv2025

Quantum confinement of scalar bosons in the Bonnor-Melvin spacetime: uniform magnetic field and rainbow gravity effects

We present an exact analytical study of Klein-Gordon (KG) scalar bosons and antibosons confined in the Bonnor-Melvin (BM) spacetime under a uniform magnetic field, incorporating rainbow gravity (RG) corrections with a positive cosmological constant. The cosmological constant partitions spacetime into an infinite sequence of confinement domains bounded by impenetrable barriers. Within the first allowed domain, the KG equation reduces to a hypergeometric differential equation, yielding closed-form expressions for both the energy spectra and the radial wavefunctions in terms of hypergeometric polynomials. Two representative RG models, inspired by the Magueijo-Smolin framework and loop quantum gravity (LQG), produce Planck-scale bounded, symmetric particle-antiparticle spectra. A distinctive feature of the curved magnetized geometry is the collapse of all magnetic quantum states $m \neq 0$ onto the $m = 0$ level for each radial excitation, a degeneracy absent in flat spacetime. Increasing the cosmological constant partially lifts this collapse, establishing a direct link between the global spacetime curvature and the local quantum structure. Radial probability density analysis further shows that stronger magnetic fields enhance spatial localization, confining bosons into static or rotating ring-like configurations with nodal architectures that evolve systematically with quantum numbers. These findings reveal how gravitational confinement, topology, magnetic fields, and Planck-scale corrections jointly govern the spectral and spatial properties of relativistic quantum fields in curved and magnetized backgrounds.

gr-qc↗

arXiv2025

Scalar-Wave Signatures of Wormholes in Dark Matter Halos

We identify scalar-wave signatures of massless fields propagating in static, spherically symmetric wormholes embedded within realistic dark matter halos. Starting from a general line element with arbitrary redshift and shape functions, we recast the radial Klein-Gordon equation in Schr\"odinger form, explicitly separating contributions from gravitational redshift, spatial curvature, and angular momentum. The dynamics reduce to a generalized Helmholtz equation with a space- and frequency-dependent effective refractive index that encodes the throat geometry, halo curvature, and centrifugal effects, asymptotically recovering free-space propagation. Applying this framework to Navarro-Frenk-White, Thomas-Fermi Bose-Einstein condensate, and Pseudo-Isothermal halo models, and considering zero, Teo-type, and cored redshift functions, we uncover evanescent regions and suppression of high-angular-momentum modes in the vicinity of the throat. High-frequency waves approach the geometric-optics regime, whereas low-frequency modes exhibit strong curvature-induced localization. In the geometric-optics limit, the effective refractive index reproduces null-geodesic trajectories, while finite-frequency effects capture evanescent zones and tunneling phenomena. This work establishes the first exact, non-perturbative framework linking wormhole geometry and realistic dark matter halos to observable scalar-wave propagation phenomena, including evanescence, mode suppression, and frequency-dependent localization.

gr-qc↗

arXiv2025

Null geodesics and shadows of slowly rotating wormholes immersed in dark matter halos

We study slowly rotating traversable wormholes embedded in realistic galactic dark matter halos, including Navarro-Frenk-White (NFW), Bose-Einstein Condensate (Thomas-Fermi, TF), and pseudo-isothermal (PI) profiles. Using the Teo-type rotating wormhole metric, we construct shape functions from halo density distributions and analyze the resulting geometrical properties, such as throat structure, flaring-out conditions, and violations of the null energy condition. We examine null geodesics, effective potentials, photon spheres, and Lense-Thirring (LT) precession, highlighting differences between cuspy and cored halo models. Finally, we calculate wormhole shadows, observing that cuspy NFW halos tend to produce smaller, asymmetric shadows, while cored TF and PI halos yield smoother, nearly circular silhouettes. The findings provide a theoretical characterization of photon dynamics and shadow morphology in wormholes embedded within different dark matter environments.

gr-qc↗

arXiv2025

Charged particle dynamics in singular spacetimes: hydrogenic mapping and curvature-corrected thermodynamics

We analyze the dynamics of charged test particles in a singular, horizonless spacetime arising as the massless limit of a charged wormhole in the Einstein--Maxwell--Scalar (EMS) framework. The geometry, sustained solely by an electric charge $Q$, features an infinite sequence of curvature singularity shells, with the outermost at $ r_* = \frac{2|Q|}{\pi} $ acting as a hard boundary for nonradial motion, while radial trajectories can access it depending on the particle charge-to-mass ratio $ |q|/m $. Exploiting exact first integrals, we construct the effective potential and obtain circular orbit radii, radial epicyclic frequencies, and azimuthal precession rates. In the weak-field limit ($ r \gg |Q| $), the motion reduces to a Coulombic system with small curvature-induced retrograde precession. At large radii, the dynamics maps to a hydrogenic system, with curvature corrections inducing perturbative energy shifts. Approaching $ r_* $, the potential diverges, producing hard-wall confinement. Curvature corrections also modify the spectral thermodynamics, raising energies and slightly altering entropy and heat capacity. Our results characterize the transition from Newtonian-like orbits to strongly confined, curvature-dominated dynamics.

gr-qc↗

arXiv2025

Optics in spiral dislocation spacetime: Torsion as a geometric waveguide and frequency-filtering mechanism

We present an exact analytical investigation of null trajectories and scalar wave propagation in a $(2+1)$-dimensional spacetime containing a spiral dislocation-a topological defect characterized by torsion in the absence of curvature. For null rays, the torsion parameter $\beta$ modifies the affine structure, enforcing a finite turning radius $r_{\min} = \sqrt{b^2 - \beta^2}$ and inducing a torsion-mediated angular deflection that decreases monotonically with increasing $\beta$. The photon trajectory deviates from the curvature-induced lensing paradigm, exhibiting a purely topological exclusion zone around the defect core. In the wave regime, we recast the Helmholtz equation into a Schr\"odinger-like form and extract a spatially and spectrally dependent refractive index $n^2(r,k)$. This index asymptotically approaches unity at large distances, but diverges strongly and negatively near the dislocation core due to torsion-induced geometric terms. The resulting refractive index profile governs the transition from propagating to evanescent wave behavior, with low-frequency modes experiencing pronounced localization and suppression. Our findings reveal that torsion alone, absent any curvature, can act as a geometric regulator of both classical and quantum propagation, inducing effective anisotropy, frequency filtering, and confinement. This framework provides a rare exact realization of light-matter interaction in a torsion-dominated background, with potential applications in analog gravity systems and photonic metamaterials engineered to replicate non-Riemannian geometries.

gr-qc↗

arXiv2025

On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls

We investigate the effect of rainbow gravity on Klein-Gordon (KG) bosons in the background of the magnetized Bonnor-Melvin (BM) spacetime with a cosmological constant. We first show that the very existence of the sinusoidal term $\sin^2(\sqrt{2\Lambda}r)$, in the BM space-time metric, suggests that $\sin^2(\sqrt{2\Lambda}r) \in [0,1],$ which consequently restricts the range of the radial coordinate $r$ to $r \in [0,\pi/\sqrt{2\Lambda}]$. Moreover, we show that at $r = 0$ and $r = \pi/\sqrt{2\Lambda}$, the magnetized BM-spacetime introduces domain walls (infinitely impenetrable hard walls) within which the KG bosonic fields are allowed to move. Interestingly, the magnetized BM-spacetime introduces not only two domain walls but a series of domain walls. However, we focus on the range $r \in [0,\pi/\sqrt{2\Lambda}]$. A quantum particle remains indefinitely confined within this range and cannot be found elsewhere. Based on these findings, we report the effects of rainbow gravity on KG bosonic fields in BM-spacetime. We use three pairs of rainbow functions: $ f(\chi) = \frac{1}{1 - \tilde{\beta} |E|}, \, h(\chi) = 1 $; $ f(\chi) = (1 - \tilde{\beta} |E|)^{-1}, \, h(\chi) = 1 $; and $ f(\chi) = 1, \, h(\chi) = \sqrt{1 - \tilde{\beta} |E|^\upsilon} $, with $\upsilon = 1,2$. Here, $\chi = |E| / E_p$, $\tilde{\beta} = \beta / E_p$, and $\beta$ is the rainbow parameter. We found that while the pairs $(f,h)$ in the first and third cases fully comply with the theory of rainbow gravity and ensure that $E_p$ is the maximum possible energy for particles and antiparticles, the second pair does not show any response to the effects of rainbow gravity. We show that the corresponding bosonic states can form magnetized, spinning vortices in monolayer materials, and these vortices can be driven by adjusting an out-of-plane aligned magnetic field.

gr-qc↗

arXiv2025

Amelino-Camelia DSR effects on charged Dirac oscillators: Modulated spinning magnetic vortices

This work explores the two-dimensional Dirac oscillator (DO) within the framework of Amelino-Camelia doubly special relativity (DSR), employing a modified Dirac equation that preserves the first-order nature of the relativistic wave equation. By introducing non-minimal couplings, the system provides an exact analytical solution in terms of confluent hypergeometric functions, along with closed-form expressions for the energy spectrum (indulging a Landau-like signature along with accidental spin-degeneracies)-. In the low-energy limit, the results reproduce the well-known two-dimensional Dirac oscillator spectrum, and in the nonrelativistic regime, the results reduce the Schr\"odinger oscillator spectrum. First-order corrections in this DSR model introduce a mass-splitting term proportional to $\pm \mathcal{E}_{\circ}/\mathcal{E}_p$, where $\mathcal{E}_{\circ} = mc^2$ is the rest energy and $\mathcal{E}_p$ is the Planck energy. These corrections preserve the symmetry between the energies of particles and antiparticles around zero energy, but induce a shift in the energy levels that becomes more significant for higher excited states ($n > 0$). By mapping the system to a DSR-deformed charged Dirac oscillator in the presence of an out-of-plane uniform magnetic field, we show that the leading-order Planck-scale corrections vanish at a critical magnetic field $\mathcal{B}^{c}_{0}$, and as the magnetic field approaches this critical value, the relativistic energy levels approach $\mathcal{E}_{n,\pm} = \pm \mathcal{E}_{\circ}$. Finally, we identify a previously undetermined feature in two-dimensional charged Dirac oscillator systems in a magnetic field, revealing that the corresponding modes manifest as spinning magnetic vortices.

physics.gen-ph↗

arXiv2025

Ray geodesics and wave propagation on the Beltrami surface: Optics of an optical wormhole

This study investigates ray geodesics and wave propagation on the Beltrami surface, with a particular emphasis on the effective potentials governing photon dynamics. We derive the geodesic equations and analyze the Helmholtz equation within this curved geometry, revealing that the resulting potentials are purely repulsive. For ray trajectories, the potential is determined by wormhole parameters such as the throat radius ($\ell$), radial optical distance ($u$), scale parameter ($R$), and the angular momentum of the test field. Near the wormhole throat, the potential remains constant, preventing inward motion below a critical energy threshold, whereas at larger radial distances, it decays exponentially, allowing free propagation. In the context of wave propagation, the potential exhibits a centrifugal barrier along with a constant repulsive term at large $u$. The Beltrami surface, characterized by constant negative Gaussian curvature, serves as a model for graphene sheets and optical wormholes in condensed matter systems. These results allow us to determine the space- and frequency-dependent refractive index of the medium, providing a coherent framework for understanding photon behavior in such systems, with promising implications for material applications.

physics.class-ph↗

arXiv2025

Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background

We investigate the effect of rainbow gravity on Klein-Gordon (KG) bosons in a quantized nonuniform magnetic field in the background of Bonnor-Melvin (BM) spacetime with a cosmological constant. In the process, we show that the BM spacetime introduces domain walls (i.e., infinitely impenetrable hard walls) at $r = 0$ and $r = \pi/\sqrt{2\Lambda}$, as a consequence of the effective gravitational potential field generated by such a magnetized BM spacetime. As a result, the motion of KG particles/antiparticles is restricted indefinitely within the range $r \in [0, \pi/\sqrt{2\Lambda}]$, and the particles and antiparticles cannot be found elsewhere. Next, we provide a conditionally exact solution in the form of the general Heun function $H_G(a, q, \alpha, \beta, \gamma, \delta, z)$. Within the BM domain walls and under the condition of exact solvability, we study the effects of rainbow gravity on KG bosonic fields in a quantized nonuniform external magnetic field in the BM spacetime background. We use three pairs of rainbow functions: $ f(u) = (1 - \tilde{\beta} |E|)^{-1}, \, h(u) = 1 $; and $ f(u) = 1, \, h(u) = \sqrt{1 - \tilde{\beta} |E|^\upsilon} $, with $\upsilon = 1,2$, where $u = |E| / E_p$, $\tilde{\beta} = \beta / E_p$, and $\beta$ is the rainbow parameter. We find that such pairs of rainbow functions, $(f(u), h(u))$, fully comply with the theory of rainbow gravity, ensuring that $E_p$ is the maximum possible energy for particles and antiparticles alike. Moreover, we show that the corresponding bosonic states form magnetized, rotating vortices, as intriguing consequences of such a magnetized BM spacetime background.

gr-qc↗

arXiv2025

Twist-Induced Effects on Weyl Pairs in Magnetized Graphene Nanoribbons

This paper presents an analytical investigation into the dynamics of Weyl pairs within magnetized helicoidal graphene nanoribbons. By embedding a curved surface into flat Minkowski space-time, we derive a fully covariant two-body Dirac equation specific to this system. We begin by formulating a non-perturbative wave equation that governs the relative motion of the Weyl pairs and obtain exact solutions. Our results demonstrate the influence of the uniform magnetic field and the number of twists on the dynamics of Weyl pairs in graphene nanoribbons, providing precise energy values that lay a robust foundation for future research. Furthermore, we examine the material's response to perturbation fields by calculating the polarization function and investigating how twisting and magnetic fields affect this response. Our findings indicate that, in principle, the material's properties, which are crucial for practical applications, can be effectively controlled by precisely tuning the magnetic field and the number of twists in graphene nanoribbons.

cond-mat.mes-hall↗

arXiv2025

Damped photonic modes in helical graphene

We analyze the behavior of spin-1 vector bosons in helical spacetime, focusing on photonic modes in helical graphene structures. We model the helical graphene surface as a smooth, continuous, and distortion-free manifold, effectively adopting the continuum approximation. By solving the fully covariant vector boson equation, we derive exact solutions that describe the quantum states of photons in a curved helical background, revealing their energy spectra, mode profiles, and decay dynamics. We find that the decay times of damped photonic modes range from $10^{-16}$ to $10^{-13}$ seconds as the helical pitch ($a$) varies from $10^3$ nanometers to $1$ nanometer, indicating that the structure efficiently absorbs all photonic modes. Additionally, the probability density functions exhibit time dependence, complementing their spatial variation. These findings provide a foundation for the design of ultrafast graphene photodetectors, graphene photodevices for high-speed optical communications, advanced photonic devices, and quantum materials based on helical graphene for various nanophotonic applications.

cond-mat.mes-hall↗