arXiv subjects

Jian-Tong Hou

Publications and source records attributed to Jian-Tong Hou.

5 recordsLinked to original sources

arXiv2026

Interband optical conductivities in two-dimensional tilted Dirac bands revisited within the tight-binding model

Within the framework of linear response theory, we theoretically investigated the interband longitudinal optical conductivities (LOCs) in two-dimensional (2D) tilted Dirac bands using a tight-binding (TB) model, incorporating the effects of band tilting and Dirac-point shifting. We identified three characteristic critical frequencies in the interband LOCs of the TB model: the partner frequencies, the sharp- peak frequency, and the cutoff frequency. In contrast to conventional critical frequencies, these three types are consistently absent in the corresponding linearized $k\cdot p$ model. Notably, the sharp-peak frequency and cutoff frequency remain robust against variations in band tilting and Dirac-point shifting. By employing analytical expressions derived via the Lagrange multiplier method, we elucidate the origins of the conventional critical frequencies and their partner counterparts. In contrast, the sharp-peak frequency and cutoff frequency are associated with interband optical transitions at high-symmetry points of the energy bands, arising from the Pauli exclusion principle and the finite boundaries of the Brillouin zone. Our theoretical predictions are intended to guide future experimental studies on tilt-dependent optical phenomena in 2D tilted Dirac systems.

cond-mat.mes-hall↗

arXiv2025

Interband optical conductivity in two-dimensional semi-Dirac bands tilting along the quadratic dispersion

Two-dimensional (2D) semi-Dirac materials feature a unique anisotropic band structure characterized by quadratic dispersion along one spatial direction and linear dispersion along the other, effectively hybridizing ordinary and Dirac fermions. The anisotropy of energy dispersion can be further modulated through band tilting along either spatial direction of the wave vector. We propose a new definition of tilt parameter to characterize Lifshitz phases in 2D semi-Dirac bands tilting along the quadratically dispersing direction. Using linear response theory, we theoretically investigate the interband optical conductivity of 2D tilted semi-Dirac bands. Our analytical zero-temperature results reveal pronounced distinctions from Dirac and semi-Dirac systems tilting along the linearly dispersing direction. Notably, we find that spectral fixed point emerges in the optical conductivity over a specific range of the tilt parameter, a phenomenon explained by the corresponding behavior of the joint density of states. These findings provide a robust theoretical framework for identifying and characterizing 2D tilted semi-Dirac materials and establish clear spectral fingerprints that distinguish different kinds of 2D semi-Dirac bands and Dirac bands. Our predictions can guide future experimental studies of anisotropic band engineering and tilt-dependent phenomena.

cond-mat.mes-hall↗

arXiv2023

Effects of spatial dimensionality and band tilting on the longitudinal optical conductivities in Dirac bands

We report a unified theory based on linear response, for analyzing the longitudinal optical conductivity (LOC) of materials with tilted Dirac cones. Depending on the tilt parameter $t$, the Dirac electrons have four phases: untilted, type-I, type-II, and type-III; the Dirac dispersion can be isotropic or anisotropic; the spatial dimension of the material can be one-, two-, or three-dimensions (1D, 2D and 3D). The interband LOCs and intraband LOCs in $d$ dimension (with $d\ge2$) are found to scale as $σ_{0}ω^{d-2}$ and $σ_{0}μ^{d-1}δ(ω)$, respectively, where $ω$ is the frequency and $μ$ the chemical potential. The interband LOC vanishes in 1D due to lack of extra spatial dimension. In contrast, the interband LOCs in 2D and 3D are nonvanishing and share many similar properties. A universal and robust fixed point of interband LOCs appears at $ω=2μ$ no matter $d=2$ or $d=3$, which can be intuitively understood by the geometric structures of Fermi surface and energy resonance contour. The intraband LOCs and the carrier density for 2D and 3D tilted Dirac bands are both closely related to the geometric structure of Fermi surface and the cutoff of integration. The angular dependence of LOCs is found to characterize both spatial dimensionality and band tilting and the constant asymptotic background values of LOC reflect features of Dirac bands. The LOCs in the anisotropic tilted Dirac cone can be connected to its isotropic counterpart by a ratio that consists of Fermi velocities for both 2D and 3D. Most of the findings are universal for tilted Dirac materials and hence valid for a great many Dirac materials in the spatial dimensions of physical interest.

cond-mat.mes-hall↗

arXiv2023

Longitudinal optical conductivities of tilted Weyl fermions in arbitrary dimensionality

The unified form of longitudinal optical conductivities (LOCs) in the tilted Weyl fermions for arbitrary spatial dimensionality are analytically calculated and expressed in terms of the joint density of state. The results are valid for both undoped and doped cases, both parallel and perpendicular components, and all the tilted phases. In addition, they reproduce analytical results of previous works for one-dimensional, two-dimensional, and three-dimensional tilted Weyl systems. The robust fixed point $Γ_χ^{(\mathrm{IB})}(ω=2μ,d\ge 2;μ,0<t\le 2)=1/2$ is universal for tilted Dirac bands in arbitrary spatial dimensionality. Our work provides not only a once-for-all method prior to the one-by-one calculation of the LOCs but also offer deep insights into the impacts of dimensionality in the tilted Weyl fermions.

cond-mat.mes-hall↗

arXiv2022

Signatures of Lifshitz transition in the optical conductivity of two-dimensional tilted Dirac materials

Lifshitz transition is a kind of topological phase transition in which the Fermi surface is reconstructed. It can occur in the two-dimensional (2D) tilted Dirac materials when the energy bands change between the type-I phase ($0 1$) through the type-III phase ($t=1$), where different tilts are parametrized by the values of $t$. In order to characterize the Lifshitz transition therein, we theoretically investigate the longitudinal optical conductivities (LOCs) in type-I, type-II, and type-III Dirac materials within linear response theory. In the undoped case, the LOCs are constants either independent of the tilt parameter in both type-I and type-III phases or determined by the tilt parameter in the type-II phase. In the doped case, the LOCs are anisotropic and possess two critical frequencies determined by $ω=ω_1(t)$ and $ω=ω_2(t)$, which are also confirmed by the joint density of state. The tilt parameter and chemical potential can be extracted from optical experiments by measuring the positions of these two critical boundaries and their separation $Δω(t)=ω_2(t)-ω_1(t)$. With increasing the tilting, the separation becomes larger in the type-I phase whereas smaller in the type-II phase. The LOCs in the regime of large photon energy are exactly the same as that in the undoped case. The type of 2D tilted Dirac bands can be determined by the asymptotic background values, critical boundaries and their separation in the LOCs. These can therefore be taken as signatures of Lifshitz transition therein. The results of this work are expected to be qualitatively valid for a large number of 2D tilted Dirac materials, such as 8-\emph{Pmmn} borophene monolayer, $α$-SnS$_2$, TaCoTe$_2$, TaIrTe$_4$, and $1T^\prime$ transition metal dichalcogenides, due to the underlying intrinsic similarities of 2D tilted Dirac bands.

cond-mat.mes-hall↗