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Two-dimensional Graphene is fascinating because of its unique electronic properties. From a fundamental perspective, one among them is the geometric phase structure near the Dirac points in the Brillouin zone, owing to the SU(2) nature of…

Strongly Correlated Electrons · Physics 2020-07-23 Ankur Das , Sumiran Pujari

Linear magnetoresistance is a hallmark of 3D Weyl metals in the quantum limit. Recently, a pronounced linear magnetoresistance has also been observed in 2D graphene [Xin et al., Nature 616, 270 (2023)]. However, a comprehensive theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Xiao-Bin Qiang , Han-Yi Xu , Ren-Jie Tong , Shuai Li , Zi-Xuan Gao , Peng-Lu Zhao , Hai-Zhou Lu

ZrSiS exhibits a frequency-independent interband conductivity $\sigma(\omega) = \rm{const}(\omega) \equiv \sigma_{\rm{flat}}$ in a broad range from 250 to 2500 cm$^{-1}$ (30 - 300 meV). This makes ZrSiS similar to (quasi)two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 M. B. Schilling , L. M. Schoop , B. V. Lotsch , M. Dressel , A. V. Pronin

We calculate the transmission of electrons and holes between two normal-metal electrodes (N), separated over a distance L by an impurity-free superconductor (S) with d-wave symmetry of the order parameter. Nodal lines of vanishing…

Mesoscale and Nanoscale Physics · Physics 2010-01-02 J. K. Asboth , A. R. Akhmerov , A. C. Berceanu , C. W. J. Beenakker

Based on the first-principles calculations, we recover the silent topological nature of Cd3As2, a well known semiconductor with high carrier mobility. We find that it is a symmetry-protected topological semimetal with a single pair of…

Materials Science · Physics 2014-04-21 Zhijun Wang , Hongming Weng , Quansheng Wu , Xi Dai , Zhong Fang

We have calculated the dynamical optical conductivity for $\alpha-\mathcal{T}_3$ materials in the presence of a finite bandgap in their energy bandstructure. This is a special type of energy dispersions because for all…

Materials Science · Physics 2023-05-31 Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

Dirac fermions, characterized by their linear dispersion and relativistic nature, have emerged as a prominent class of quasiparticles in condensed matter physics. While the Dirac equation, initially developed in the context of high-energy…

Three-dimensional (3D) semimetals have been predicted and demonstrated to have a wide variety of interesting properties associated with its linear energy dispersion. In analogy to two-dimensional (2D) Dirac semimetals, such as graphene,…

We discuss the dynamical polarization with finite momentum and frequency in the presence of many-electron effect, including the screened Coulomb interaction, self-energy and vertex correction. The longitudinal conductivity, screened Coulomb…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Chen-Huan Wu

Relativistic massless Weyl and Dirac fermions exhibit the isotropic and linear dispersion relations to preserve the Poincar\'{e} symmetry, the most fundamental symmetry in high energy physics. In solids, the counterparts of the Poincar\'{e}…

Materials Science · Physics 2020-08-12 Weikang Wu , Zhi-Ming Yu , Xiaoting Zhou , Y. X. Zhao , Shengyuan A. Yang

We investigate the non-Fermi-liquid behaviors of the 2D and 3D Dirac/Weyl systems with low-order and higher order dispersion. The self-energy correction, symmetry, free energy, optical conductivity, density of states, and spectral function…

Strongly Correlated Electrons · Physics 2019-10-02 Chen-Huan Wu

A theory is developed for the density and temperature dependent carrier conductivity in doped three-dimensional (3D) Dirac materials focusing on resistive scattering from screened Coulomb disorder due to random charged impurities (e.g.,…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 S. Das Sarma , E. H. Hwang , Hongki Min

Having previously been the subject of decades of semiconductor research, cadmium arsenide has now reemerged as a topological material, realizing ideal three-dimensional Dirac points at the Fermi level. These topological Dirac points lead to…

Strongly Correlated Electrons · Physics 2024-06-03 Vsevolod Ivanov , Lotte Borkowski , Xiangang Wan , Sergey Y. Savrasov

Understanding the low-energy excitation state in three-dimensional layered compound ZrTe5 remains a challenging problem in the study of novel topological materials. Recently, a two-dimensional conical model was proposed to explain the…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Yi-Xiang Wang , Fuxiang Li

We consider the optical and transport properties in a model two-dimensional Hamiltonian which describes the merging of two Dirac points. At low energy, in the presence of an energy gap parameter $\Delta$, there are two distinct Dirac points…

Mesoscale and Nanoscale Physics · Physics 2019-08-09 J. P. Carbotte , E. J. Nicol

We study the thermoelectric transport properties of a three-dimensional massive relativistic fermion gas with screened Coulomb impurities in high magnetic fields where only the lowest Landau levels contribute to the transport. Our results…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Viktor Könye , Masao Ogata

We investigate the density and optical responses of a linear triple component fermionic system in both non-interacting and interacting regimes by computing its dynamical polarization function, RPA dielectric function, plasmon mode and long…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Bashab Dey , Tarun Kanti Ghosh

Optical properties of two-dimensional massless Dirac fermions are considered by the formalism of pseudospin precession equations which provides an easy and natural semiphenomenological way to include correlation effects. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2008-10-24 M. I. Katsnelson

Two-dimensional massless Dirac fermions exhibit Dirac cones, which are classified into three types: type-I, type-II, and type-III. In both type-I and type-II cones, the energy dispersion is linear in all momentum directions. Type-I cones…

Mesoscale and Nanoscale Physics · Physics 2025-08-14 Keita Kishigi , Yasumasa Hasegawa

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…