arXiv subjects

G. P. Zhang

Publications and source records attributed to G. P. Zhang.

At least 19 recordsLinked to original sources

arXiv2026

T-odd Effect from Two-Photon Exchange in SIDIS at Low Transverse Momentum

We study T-odd effects through two-photon exchange in semi-inclusive deeply inelastic scattering in the kinematic region where the produced hadron has a low transverse momentum. The absorptive part of lepton-quark scattering amplitude is calculated. Transverse momentum dependent factorization is performed with the absorptive part. Although the absorptive part is divergent, the physical results, i.e., the obtained differential cross-section, is finite. Including the T-odd effects, the differential cross section receives new contributions which have different angular dependence than that obtained with one-photon exchange. Certain asymmetries can be introduced to detect the T-odd effects. Our results here are not only relevant to detecting new effect beyond the one-photon approximation in the process but also relevant to searching for new physics at lepton-proton colliders.

hep-ph↗

arXiv2026

Beyond Local Berry Geometry: A First-Principles Finite-Momentum Theory of Electronic Position

Electronic position controls how a crystal polarizes and responds to an external field. In crystals, it is usually described through local changes of electronic states in momentum space. This Berry framework has reshaped modern solid-state physics, but strong fields drive electrons across a finite momentum range, where coherence between different momenta becomes part of the response. Here we establish a first-principles theory of electronic position at finite momentum that retains this missing information. We show that unequal-momentum coherence can cancel under spatial averaging and still produce polarization, forming a coherence dipole. We obtain the matrix directly from material wave functions, without model bands or fitted transition elements. In Si, the finite-momentum geometry sets a material momentum scale. Comparing this scale with the momentum change driven by the field predicts when finite-momentum physics becomes active. Crossing the scale strongly reorganizes the fifth and higher harmonics, showing that momentum-space geometry, rather than emitted photon energy alone, controls the nonlinear response. HHG is the first demonstration, but the theory applies whenever driven electrons explore a finite momentum range. It therefore extends quantum geometry beyond the local Berry limit and provides a general basis for predicting field-driven phenomena in real materials.

cond-mat.mtrl-sci↗

arXiv2025

Nonlinear optical quantum theory of demagnetization in L1$_0$ FePt and FePd

It is now well established that a laser pulse can demagnetize a ferromagnet. However, for a long time, it has not had an analytic theory because it falls into neither nonlinear optics (NLO) nor magnetism. Here we attempt to fill this gap by developing a nonlinear optical theory centered on the spin moment, instead of the more popular susceptibility. We first employ group theory to pin down the lowest order of the nonzero spin moment in a centrosymmetric system to be the second order, where the second-order density matrix contains four terms of sum frequency generation (SFG) and four terms of difference frequency generation (DFG). By tracing over the product of the density matrix and the spin matrix, we are now able to compute the light-induced spin moment. We apply our theory to FePt and FePd, two most popular magnetic recording materials with identical crystal and electronic structures. We find that the theory can clearly distinguish the difference between those two similar systems. Specifically, we show that FePt has a stronger light-induced spin moment than FePd, in agreement with our real-time ultrafast demagnetization simulation and the experimental results. Among all the possible NLO processes, DFGs produce the largest spin moment change, a manifestation of optical rectification. Our research lays a solid theoretical foundation for femtomagnetism, so the light-induced spin moment reduction can now be computed and compared among different systems, without time-consuming real-time calculations, representing a significant step forward.

cond-mat.mtrl-sci↗

arXiv2025

Revisiting the matrix elements of the position operator in the crystal momentum representation

Fewer operators are more fundamental than the position operator in a crystal. But since it is not translationally invariant in crystal momentum representation (CMR), how to properly represent it is nontrivial. Over half a century, various methods have been proposed, but they often lead to either highly singular derivatives or extremely arcane expressions. Here we propose a resolution to this problem by directly computing their matrix elements between two Bloch states. We show that the position operator is a full matrix in CMR, where the off-diagonal elements in crystal momentum $\bf k$ only appear along the direction of the position vector. Our formalism, free of singular derivative and degeneracy difficulties, can describe an array of physical properties, from intraband transitions, polarization with or without spin-orbit coupling, orbital angular momentum, to susceptibilities.

cond-mat.mtrl-sci↗

arXiv2024

A simple model for longitudinal electron transport during and after laser excitation: Emergence of electron resistive transport

Laser-driven electron transport across a sample has garnered enormous attentions over several decades, as it provides a much faster way to control electron dynamics. Light is an electromagnetic wave, so how and why an electron can acquire a longitudinal velocity remains unanswered. Here we show that it is the magnetic field that steers the electron to the light propagation direction. But, quantitatively, our free-electron model is still unable to reproduce the experimental velocities. Going beyond the free electron mode and assuming the system absorbs all the photon energy, the theoretical velocity matches the experimental observation. We introduce a concept of the resistive transport, where electrons deaccelerate under a constant resistance after laser excitation. This theory finally explains why the experimental distance-versus-time forms a down-concave curve, and unifies ballistic and superdiffusive transports into a single resistive transport. We expect that our finding will motivate further investigations.

cond-mat.mtrl-sci↗

arXiv2024

Parton Distributions of Gluons in Different Representations

It has been questioned if gluon distributions defined in different representations of $SU(N)$ are the same. The question has arisen in the connection to the recently proposed resolution of the so-called axial gauge puzzle. We give a proof that gluon distributions defined in the fundamental- and adjoint representation, where gauge links consist of those which are all future-pointing or all past-pointing, are same. These gauge links are needed to make the distributions gauge invariant. When these links consist of not only future-pointing gauge links but also past-pointing ones, then the puzzle appears. We examine the puzzle for distributions at one-loop in the cases with gauge links along time-like-, space-like- and light-cone direction.

hep-ph↗

arXiv2024

Gateway to all-optical spin switching in Heusler ferrimagnets: Pancharatnam-Berry tensor and magnetic moment ratio

All-optical spin switching (AOS) is a new phenomenon found in a small group of magnetic media, where a single laser pulse can switch spins from one direction to another, without assistance of a magnetic field, on a time scale much shorter than existing magnetic technology. However, despite intensive efforts over a decade, its underlying working principle remains elusive. Here through manganese-based Heusler ferrimagnets, we show that a group of flat bands around the Fermi level act as gateway states to form efficient channels or spin switching, where their noncentrosymmetry allows us to correlate the spin dynamics to the second-order optical response. To quantify their efficacy, we introduce the third-rank Pancharatnam-Berry tensor (PB tensor), $\boldsymbolη^{(3)}=\langle i |{\bf p} |m\rangle \langle m|{\bf p} |f\rangle \langle f|{\bf p} |i\rangle,$ where $|i\rangle$, $|m\rangle$ and $|f\rangle$ are initial, intermediate and final band states, respectively, and ${\bf p}$ is the momentum operator. A picture emerges: Those which show AOS, such as the recently discovered Mn$_2$RuGa, always have a large PB tensor element} but have a small sublattice spin moment ratio, consistent with the prior experimental small remanence criterion. This does not only reveal that the delicate balance between the large PB tensor element and the small sublattice spin ratio plays a decisive role in AOS, but also, conceptually, connects the $n$th-order nonlinear optics to $(n+1)$th-rank PB tensors in general.

cond-mat.mtrl-sci↗

arXiv2024

Nonlinear harmonic spectra in bilayer van der Waals antiferromagnets CrX$_{3}$

Bilayer antiferromagnets CrX$_{3}$ (X $=$ Cl, Br, and I) are promising materials for spintronics and optoelectronics that are rooted in their peculiar electronic structures. However, their bands are often hybridized from the interlayer antiferromagnetic ordering, which are difficult to disentangle by traditional methods. In this work, we theoretically show that nonlinear harmonic spectra can differentiate subtle differences in their electronic states. In contrast to prior nonlinear optical studies which often use one or two photon energies, we systematically study the wavelength-dependent nonlinear harmonic spectra realized by hundreds of individual dynamical simulations under changed photon energies. Through turning on and off some excitation channels, we can pinpoint every dipole-allowed transition that largely contributes to the second and third harmonics. With the help of momentum matrix elements, highly entangled resonance peaks at a higher energy above the band edge can be assigned to specific transitions between the valence bands and three separate regions of conduction bands. Our findings demonstrate a feasible means to detect very complex electronic structures in an important family of two-dimensional antiferromagnets.

physics.optics↗

arXiv2023

Strong ultrafast demagnetization due to the intraband transitions

Demagnetization in ferromagnetic transition metals driven by a femtosecond laser pulse is a fundamental problem in solid state physics, and its understanding is essential to the development of spintronics devices. Ab initio calculation of time-dependent magnetic moment in the velocity gauge so far has not been successful in reproducing the large amount of demagnetization observed in experiments. In this work, we propose a method to incorporate intraband transitions within the velocity gauge through a convective derivative in the crystal momentum space. Our results for transition-element bulk crystals (bcc Fe, hcp Co and fcc Ni) based on the time-dependent quantum Liouville equation show a dramatic enhancement in the amount of demagnetization after the inclusion of an intraband term, in agreement with experiments. We also find that the effect of intraband transitions to each ferromagnetic material is distinctly different because of their band structure and spin property differences. Our finding has a far-reaching impact on understanding of ultrafast demagnetization.

cond-mat.mtrl-sci↗

arXiv2023

Electron transport under an ultrafast laser pulse: Implication for spin transport

Laser-driven electron transport across a sample has garnered enormous attentions over several decades, because it potentially allows one to control spin transports in spintronics. But light is a transverse electromagnetic wave, how an electron acquires a longitudinal velocity has been very puzzling. In this paper, we show a general mechanism is working. It is the magnetic field {\bf B} that steers the electron moving along the light propagation direction, while its strong transverse motion leads to local excitation. We employ the formalism put forth by Varga and Toroke to show that if we only include {\bf E}, the electron only moves transversely with a large velocity. Including both {\bf B} and {\bf E} and using real experimental laser parameters, we are able to demonstrate that a laser pulse can drive the electron along the axial direction by 20 to 262 $\rm Å$, consistent with the experiments. The key insight is that {\bf B} changes the direction of the electron and allows the electron to move along the Poynting vector of light. Our finding has an important consequence. Because a nonzero {\bf B} means a spatially dependent vector potential ${\bf A} (\br,t)$, ${\bf B}=\nabla \times {\bf A}(\br,t)$, this points out that the Coulomb gauge, that is, replacing ${\bf A}(\br,t)$ by a spatial independent ${\bf A}(t)$, is unable to describe electron and spin transport under laser excitation. Our finding is expected to have a potential impact on the ongoing investigation of laser-driven spin transport.

cond-mat.mtrl-sci↗

arXiv2023

Strong and nearly 100$\%$ spin-polarized second-harmonic generation from ferrimagnet Mn$_{2}$RuGa

Second-harmonic generation (SHG) has emerged as a promising tool for detecting electronic and magnetic structures in noncentrosymmetric materials, but 100$\%$ spin-polarized SHG has not been reported. In this work, we demonstrate nearly 100$\%$ spin-polarized SHG from half-metallic ferrimagnet Mn$_{2}$RuGa. A band gap in the spin-down channel suppresses SHG, so the spin-up channel contributes nearly all the signal, as large as 3614 pm/V about 10 times larger than that of GaAs. In the spin-up channel, $χ_{xyz}^{(2)}$ is dominated by the large intraband current in three highly dispersed bands near the Fermi level. With the spin-orbit coupling (SOC), the reduced magnetic point group allows additional SHG components, where the interband contribution is enhanced. Our finding is important as it predicts a large and complete spin-polarized SHG in a all-optical spin switching ferrimagnet. This opens the door for future applications.

cond-mat.mtrl-sci↗

arXiv2023

QCD Factorization of Quasi Generalized Gluon Distributions

We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs.

hep-ph↗

arXiv2022

Laser-induced forces on atoms during ultrafast demagnetization

Laser-induced femtosecond demagnetization has attracted a broad attention as a possible candidate for information storage technology. However, whether or not lattice vibration directly participates in demagnetization has been highly controversial over a decade. A recent electron diffraction experiment attributed the demagnetization to the polarized phonon effect, but a similar x-ray diffraction experiment attributed it to the Einstein-de Haas effect. Common to both experiments is that neither the angular momentum of the lattice nor the rotation of the sample was directly probed. Here, we report our first first-principles calculation of forces on atoms induced by an ultrafast laser during ultrafast demagnetization. We employ two complementary methods: (i) the frozen lattice with electronic excitation and (ii) frozen excitation but moving the lattice. We find that the forces on atoms start at -50 fs and peak around 30 fs. The magnitude of the force is far smaller than the empirical estimates. Within the limit of our theory, our results suggest that the polarized phonon effect and the Einstein-de Haas effect are unlikely to be the main course of demagnetization. We expect that our finding has a profound impact on the future direction of laser-induced dynamics in magnetic and quantum materials.

cond-mat.mtrl-sci↗

arXiv2022

QCD Factorization of Quasi Generalized Quark Distributions

We study the factorization of quasi generalized quark distributions with twist-2 generalized parton distributions. We use an approach which is different than that used in literature. Using the approach we derive the factorization relations of all quasi generalized quark distributions at one-loop. The contributions from twist-2 generalized gluon distributions are included. Our results apply not only to the quasi distributions of a spin-1/2 hadron but also to those of a hadron with any spin.

hep-ph↗

arXiv2022

Spin-phonon dispersion in magnetic materials

Microscopic coupling between the electron spin and the lattice vibration is responsible for an array of exotic properties from morphic effects in simple magnets to magnetodielectric coupling in multiferroic spinels and hematites. Traditionally, a single spin-phonon coupling constant is used to characterize how effectively the lattice can affect the spin, but it is hardly enough to capture novel electromagnetic behaviors to the full extent. Here, we introduce a concept of spin-phonon dispersion to project the spin moment change along the phonon crystal momentum direction, so the entire spin change can be mapped out. Different from the phonon dispersion, the spin-phonon dispersion has both positive and negative frequency branches {even in the equilibrium ground state}, which correspond to the spin enhancement and spin reduction, respectively. Our study of bcc Fe and hcp Co reveals that the spin force matrix, that is, the second-order spatial derivative of spin moment, is similar to the vibrational force matrix, but its diagonal elements are smaller than the off-diagonal ones. This leads to the distinctive spin-phonon dispersion. The concept of spin-phonon dispersion expands the traditional Elliott-Yafet theory in nonmagnetic materials to the entire Brillouin zone in magnetic materials, thus opening the door to excited states in systems such as CoF$_2$ and NiO, where a strong spin-lattice coupling is detected in the THz regime.

cond-mat.mtrl-sci↗

arXiv2022

First-principles insights into all-optical spin switching in the half-metallic Heusler ferrimagnet Mn$_2$RuGa

All-optical spin switching (AOS) represents a new frontier in magnetic storage technology -- spin manipulation without a magnetic field, -- but its underlying working principle is not well understood. Many AOS ferrimagnets such as GdFeCo are amorphous and renders the high-level first-principles study unfeasible. The crystalline half-metallic Heusler Mn$_2$RuGa presents an opportunity. Here we carry out hitherto the comprehensive density functional investigation into the material properties of Mn$_2$RuGa, and introduce two concepts - the spin anchor site and the optical active site - as two pillars for AOS in ferrimagnets. In Mn$_2$RuGa, Mn$(4a)$ serves as the spin anchor site, whose band structure is below the Fermi level and has a strong spin moment, while Mn$(4c)$ is the optical active site whose band crosses the Fermi level. Our magneto-optical Kerr spectrum and band structure calculation jointly reveal that the delicate competition between the Ru-$4d$ and Ga-$4p$ states is responsible for the creation of these two sites. These two sites found here not only present a unified picture for both Mn$_2$RuGa and GdFeCo, but also open the door for the future applications. Specifically, we propose a Mn$_2$Ru$_x$Ga-based magnetic tunnel junction where a single laser pulse can control magnetoresistance.

cond-mat.mtrl-sci↗

arXiv2022

Twist-3 Double Spin Asymmetries in Drell-Yan Processes

We study double spin asymmetries in Drell-Yan processes in which one initial hadron is transversely polarized and another one is longitudinally polarized. The complete part of the hadronic tensor relevant to asymmetries is derived. This part consists of twist-2 and twist-3 parton distributions and is gauge invariant. We construct some observables which can be used to extract these parton distributions from experimental measurements.

hep-ph↗

arXiv2021

Optically- and thermally-driven huge lattice orbital and spin angular momenta from spinning fullerenes

Lattice vibration in solids may carry angular momentum. But unlike the intrinsic spin of electrons, the lattice vibration is rarely rotational. To induce angular momentum, one needs to find a material that can accommodate a twisted normal mode, two orthogonal modes or excitation of magnons. If excitation is too strong, one may exceed the Lindemann limit, so the material melts. Therefore these methods are not ideal. Here, we theoretically propose a new route to phonon angular momentum in a molecular crystal $\rm C_{60}$. We find that a single laser pulse is able to inject a significant amount of angular momentum to $\rm C_{60}$, and the momentum transfer is helicity-dependent. Changing from right-circularly polarized light to left-circularly polarized light switches the direction of phonon angular momentum. On the ultrafast time scale, the orbital angular momentum change closely resembles the displacive excitation of coherent phonons, with a cosine-function dependence on time, different from the spin counterpart. Atomic displacements, even under strong laser excitation, remain far below the Lindemann criterion. Under thermal excitation, spinning $\rm C_{60}$ even at room temperature generates a huge angular momentum close to several hundred $\hbar$. Our finding opens the door to a large group of fullerenes, from $\rm C_{60}$, C$_{70}$ to their endohedral derivatives, where angular momentum can be generated through light or temperature. This paves the way to the phononic control electronic spin and harvesting thermal energy through phonon angular momentum.

cond-mat.mtrl-sci↗