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Dirac semimetals have attracted a great deal of current interest due to their potential applications in topological quantum computing, low-energy electronic applications, and single photon detection in the microwave frequency range. Herein…

介观与纳米尺度物理 · 物理学 2022-07-28 W. Yu , D. X. Rademacher , N. R. Valdez , M. A. Rodriguez , T. M. Nenoff , W. Pan

We theoretically study the stability of three dimensional Dirac semimetals against short-range electron-electron interaction and quenched time-reversal symmetric disorder (but excluding mass disorder). First we focus on the clean…

介观与纳米尺度物理 · 物理学 2016-09-23 Bitan Roy , Sankar Das Sarma

Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations.…

无序系统与神经网络 · 物理学 2015-01-22 K. Ziegler

We investigate the effect of an in-plane AC electric field coupled to electrons in the honeycomb lattice and show that it can be used to manipulate the Dirac points of the electronic structure. We find that the position of the Dirac points…

介观与纳米尺度物理 · 物理学 2014-01-30 Pierre Delplace , Álvaro Gómez-León , Gloria Platero

Physical self-adjoint extensions and their spectra of the one-dimensional Dirac type Hamiltonian operator in which both the mass and velocity are constant except for a finite jump at one point of the real axis are correctly found. Different…

量子物理 · 物理学 2015-06-19 L. A. González-Díaz , Alberto A. Díaz , S. Díaz-Solórzano , J. R. Darias

Zero-mass lines result in appearance of linear dispersion modes for Dirac fermions. These modes play an important role in various physical systems. However, a Dirac fermion may not precisely follow a single zero-mass line, due to either…

介观与纳米尺度物理 · 物理学 2013-05-30 Timur Tudorovskiy , Mikhail I. Katsnelson

Topological characteristics of energy bands, such as Dirac/Weyl nodes, have attracted substantial interest in condensed matter systems as well as in classical wave systems. Among these energy bands, the type-II Dirac point is a nodal…

Large-scale electrical and thermal currents in ordinary metals are well approximated by effective medium theory: global transport properties are governed by the solution to homogenized coupled diffusion equations. In some metals, including…

偏微分方程分析 · 数学 2021-02-03 Guillaume Bal , Andrew Lucas , Mitchell Luskin

Motivated by the results of recent transport and optical conductivity studies, we propose a semi-infinite two-dimensional lattice model for interacting massive Dirac electrons in the pressurized organic conductor…

介观与纳米尺度物理 · 物理学 2019-09-04 Daigo Ohki , Yukiko Omori , Akito Kobayashi

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the…

超导电性 · 物理学 2015-11-03 Shingo Kobayashi , Masatoshi Sato

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and…

量子气体 · 物理学 2015-05-13 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

We perform a reduction from three to two spatial dimensions of the physics of a spin-1/2 fermion coupled to the electromagnetic field, by applying Hadamard's method of descent. We consider first the free case, in which motion is determined…

The nodal and effectively relativistic dispersion featuring in a range of novel materials including two- dimensional graphene and three-dimensional Dirac and Weyl semimetals has attracted enormous interest during the past decade. Here, by…

强关联电子 · 物理学 2018-04-11 Johan Carlström , Emil J. Bergholtz

Dirac Hamiltonian is scaled in the atomic units $\hbar =m=1$, which allows us to take the non-relativistic limit by setting the Compton wavelength $% \lambda \rightarrow 0 $. The evolutions of the spin and pseudospin symmetries towards the…

核理论 · 物理学 2015-06-05 Shou-Wan Chen , Jian-You Guo

Material systems with Dirac electrons on a bipartite planar lattice and possessing superconducting and excitonic interactions are investigated both in the half-filling and doped regimes at zero temperature. Excitonic pairing is the analog…

介观与纳米尺度物理 · 物理学 2020-10-05 Lizardo H. C. M. Nunes , Ricardo L. S. Farias , Eduardo C. Marino

Employing a renormalization group analysis that allows for an unbiased treatment of competing physical ingredients, we systematically trace how the interplay between Cooper pairing and disorder scatterings governs the emergence or…

超导电性 · 物理学 2026-02-27 Hua Zang , Jing Wang

We study the dynamics of ultracold atoms in tailored bichromatic optical lattices. By tuning the lattice parameters, one can readily engineer the band structure and realize a Dirac point, i.e. a true crossing of two Bloch bands. The…

量子物理 · 物理学 2012-03-19 D. Witthaut , T. Salger , S. Kling , C. Grossert , M. Weitz

We consider 2D Dirac fermions in the presence of three types of disorder: random scalar potential, random gauge potential and random mass with long-range correlations decaying as a power law. Using various methods such as the…

介观与纳米尺度物理 · 物理学 2012-03-29 Andrei A. Fedorenko , David Carpentier , Edmond Orignac

We present a model for a Chern insulator on the square lattice with complex first and second neighbor hoppings and a sublattice potential which displays an unexpectedly rich physics. Similarly to the celebrated Haldane model, the proposed…

介观与纳米尺度物理 · 物理学 2025-02-19 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

Investigating properties of two-dimensional Dirac operators coupled to an electric and a magnetic field (perpendicular to the plane) requires in general unbounded (vector-) potentials. If the system has a certain symmetry, the fields can be…

数学物理 · 物理学 2014-11-24 Josef Mehringer , Edgardo Stockmeyer
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