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Within linear response theory, the absorptive part of highly anisotropic optical conductivities are analytically calculated for distinct tilts in two-dimensional (2D) tilted semi-Dirac bands (SDBs). The transverse optical conductivities…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Chang-Xu Yan , Chao-Yang Tan , Hong Guo , Hao-Ran Chang

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 ($0<t<1$) and…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 Chao-Yang Tan , Jian-Tong Hou , Chang-Xu Yan , Hong Guo , Hao-Ran Chang

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…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Xin Chen , Jian-Tong Hou , Long Liang , Jie Lu , Hong Guo , Chang-Xu Yan , Hao-Ran Chang

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…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Chao-Yang Tan , Jian-Tong Hou , Xin Chen , Ling-Zhi Bai , Jie Lu , Yong-Hong Zhao , Chang-Xu Yan , Hao-Ran Chang , Hong Guo

The interband optical absorption of linearly polarised light by two-dimensional (2D) semimetals hosting tilted and anisotropic Dirac cones in the bandstructure is analysed theoretically. Super-critically tilted (type-II) Dirac cones are…

Mesoscale and Nanoscale Physics · Physics 2022-06-09 A. Wild , E. Mariani , M. E. Portnoi

Two-dimensional Dirac materials with a flat band have been demonstrated to possess a plethora of unusual electronic properties, but the optical properties of these materials are less studied. Utilizing $\alpha$-$\mathcal{T}_3$ lattice as a…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Chen-Di Han , Ying-Cheng Lai

1T$^\prime$-MoS$_2$ exhibits valley-spin-polarized tilted Dirac bands in the presence of external vertical electric field and undergoes a topological phase transition between the topological insulator and band insulator around the critical…

Mesoscale and Nanoscale Physics · Physics 2021-04-01 Chao-Yang Tan , Chang-Xu Yan , Yong-Hong Zhao , Hong Guo , Hao-Ran Chang

Two-dimensional Dirac semimetals have attracted much attention because of their linear energy dispersion and non-trivial Berry phase. Graphene-like 2D Dirac materials are gapless only within certain approximations, e.g., if spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Amarnath Chakraborty , Guang Bian , Giovanni Vignale

Two-dimensional (2D) massless Dirac electrons appear on a surface of three-dimensional topological insulators. The conductivity of such a 2D Dirac electron system is studied for strong topological insulators in the case of the Fermi level…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Yositake Takane

The optical conductivity of the new Dirac semimetal candidate Ir$_2$In$_8$Se is measured in a frequency range from 40 to 30000 cm$^{-1}$ at temperatures from 300 K down to 10 K. The measurement reveals that the compound is a low carrier…

Strongly Correlated Electrons · Physics 2022-09-15 S. X. Xu , H. Q. Pi , R. S. Li , T. C. Hu , Q. Wu , D. Wu , H. M. Weng , N. L. Wang

Two-dimensional (2D) Dirac fermions occur ubiquitously in condensed matter systems from topological phases to quantum critical points. Since the advent of topological semimetals, where the dispersion is often tilted around the band crossing…

Disordered Systems and Neural Networks · Physics 2025-12-11 Swadeepan Nanda , Pavan Hosur

This study is devoted to the profound implications of tilted Dirac cones on the quantum transport properties of two-dimensional (2D) Dirac materials. These materials, characterized by their linear conic energy dispersions in the vicinity of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Rasha Al-Marzoog , Ali Rezaei , Zahra Noorinejad , Mohsen Amini , Ebrahim Ghanbari-Adivi , S. A. Jafari

Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-trivial Berry phase play the pivotal role in the remarkable…

We measured the optical reflectivity of [001]-oriented $n$-doped Cd$_{3}$As$_{2}$ in a broad frequency range (50 - 22000 cm$^{-1}$) for temperatures from 10 to 300 K. The optical conductivity, $\sigma(\omega) = \sigma_{1}(\omega) + {\rm…

Mesoscale and Nanoscale Physics · Physics 2016-06-10 D. Neubauer , J. P. Carbotte , A. A. Nateprov , A. Löhle , M. Dressel , A. V. Pronin

The extraordinary electronic properties of Dirac materials, the two-dimensional partners of Weyl semimetals, arise from the linear crossings in their band structure. When the dispersion around the Dirac points is tilted, the emergence of…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 M. Milićević , G. Montambaux , T. Ozawa , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , J. Bloch , A. Amo

We present a LC circuit model that supports tilted {\it Dirac cone} in its spectrum. The tilt of the Dirac cone is specified by the parameters of the model consisting of mutual inductance between the neighboring sites and a capacitance C0…

Strongly Correlated Electrons · Physics 2023-08-07 A. Motavassal , S. A. Jafari

The quasi-two-dimensional molecular semimetallic conductor $\alpha$-STF$_2$I$_3$ is isostructural with $\alpha$-ET$_2$I$_3$.The latter possesses a unique band structure showing a zero-gap state with Dirac cones under high pressure, whereas…

Materials Science · Physics 2020-01-09 Toshio Naito , Ryusei Doi , Yoshikazu Suzumura

We investigate a longitudinal conductivity of a two-dimensional relativistic electron gas with a tilted Dirac cone in magnetic field. It is demonstrated that the conductivity behaves differently in the directions parallel and perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Igor Proskurin , Masao Ogata , Yoshikazu Suzumura

Nodal line semimetals, a class of topological quantum materials, exhibit a variety of novel phenomena due to their properties, such as bands touching on a one-dimensional line or a ring in the Brillouin zone and drumhead-like surface…

Strongly Correlated Electrons · Physics 2024-10-08 Vivek Pandey , Dayana Joy , Dimitrie Culcer , Pankaj Bhalla

We explore the effect of valley-contrasting gaps in the optical response of two-dimensional anisotropic tilted Dirac systems. We study the spectrum of intraband and interband transitions through the joint density of states (JDOS), the…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 M. A. Mojarro , R. Carrillo-Bastos , Jesús A. Maytorena
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