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We propose a new concept of two-dimensional (2D) Dirac semiconductor which is characterized by the emergence of fourfold degenerate band crossings near the band edge and provide a generic approach to realize this novel semiconductor in the…

Materials Science · Physics 2022-02-02 Botao Fu , Chao He , Da-Shuai Ma , Zhi-Ming Yu , Yong-Hong Zhao , Yugui Yao

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone

Long-range interactions are a key resource in many quantum phenomena and technologies. Free-space photons mediate power-law interactions but lack tunability and suffer from decoherence processes due to their omnidirectional emission.…

Topological band theory has revolutionized our understanding of electronic structure of materials, in particular, a novel state - Weyl semimetal - has been predicted for systems with strong spin-orbit coupling (SOC). Here, a new class of…

Materials Science · Physics 2015-10-20 Yuanping Chen , Yuee Xie , Shengyuan A. Yang , Hui Pan , Fan Zhang , Marvin L. Cohen , Shengbai Zhang

We explore the topological properties of double-Weyl semimetals with cold atoms in optical lattices. We first propose to realize a tight-binding model of simulating the double-Weyl semimetal with a pair of double-Weyl points by engineering…

Quantum Gases · Physics 2017-06-23 Xue-Ying Mai , Dan-Wei Zhang , Zhi Li , Shi-Liang Zhu

Anisotropic bulk Dirac (or Weyl) cones in three dimensional systems have recently gained intense research interest as they are examples of materials with tilted Dirac (or Weyl) cones indicatig the violation of Lorentz invariance. In…

Unidirectional transports have been observed in two-dimensional systems, however, so far they have not been experimentally observed in three-dimensional bulk materials. In this theoretical work we show that the recently discovered Weyl…

Strongly Correlated Electrons · Physics 2016-08-08 Ren Bi , Zhong Wang

Weyl points are the simplest topologically-protected degeneracy in a three-dimensional dispersion relation. The realization of Weyl semimetals in photonic crystals has allowed these singularities and their consequences to be explored with…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 R. L. Mc Guinness , P. R. Eastham

Dirac semi-metals show a linear electronic dispersion in three dimension described by two copies of the Weyl equation, a theoretical description of massless relativistic fermions. At the surface of a crystal, the breakdown of fermion…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Philip J. W. Moll , Nityan L. Nair , Tony Helm , Andrew C. Potter , Itamar Kimchi , Ashvin Vishwanath , James G. Analytis

When a Dirac semimetal is subject to a circularly polarized laser, it is predicted that the Dirac cone splits into two Weyl nodes and a nonequilibrium transient state called the Floquet Weyl semimetal is realized. We focus on the previously…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Leda Bucciantini , Sthitadhi Roy , Sota Kitamura , Takashi Oka

We propose to realize Weyl semimetals in a cubic optical lattice. We find that there exist three distinct Weyl semimetal phases in the cubic optical lattice for different parameter ranges. One of them has two pairs of Weyl points and the…

Strongly Correlated Electrons · Physics 2017-07-18 Jing-Min Hou , Wei Chen

Weyl semimetals are gapless three-dimensional topological materials where two bands touch at even number of points in the Brillouin zone. In this work we study a zincblende lattice model realizing a time-reversal invariant Weyl semimetal.…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Teemu Ojanen

We study the electronic properties of strongly spin-orbit coupled electrons on the elastic pyrochlore lattice. Akin to the Peierls transition in one-dimensional systems, the coupling of the lattice to the electronic degrees of freedom can…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Tomáš Bzdušek , Andreas Rüegg , Manfred Sigrist

The recent discovery of the Lorentz symmetry-violating 'Type II' Weyl semimetal phase has renewed interest in the study of Weyl physics in condensed matter systems. However, tuning the exceptional properties of this novel state has remained…

Quantum Gases · Physics 2017-01-25 Kunal Shastri , Zhaoju Yang , Baile Zhang

Most theoretical studies of tunneling in Dirac and the closely related Weyl semimetals have modeled these materials as single Weyl nodes described by the three-dimensional Dirac equation $H = v_f \vec{p}\cdot\vec{\sigma}$. The influence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-04 Zhuo Bin Siu , Can Yesilyurt , Mansoor B. A. Jalil , Seng Ghee Tan

Nodal loops in two-dimensional (2D) systems are typically vulnerable against spin-orbit coupling (SOC). Here, we explore 2D systems with a type of doubly degenerate nodal loops that are robust under SOC and feature an hourglass type…

Materials Science · Physics 2019-05-21 Weikang Wu , Yalong Jiao , Si Li , Xian-Lei Sheng , Zhi-Ming Yu , Shengyuan A. Yang

We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, $\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}$ in dimensionless…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Swapnonil Banerjee , Warren E. Pickett

Weyl and Dirac semimetals, characterized by their unique band structures with linear energy dispersion (E vs k) near the Fermi level (EF), have emerged as promising candidates for next-generation technology based on thermoelectric…

Materials Science · Physics 2025-02-18 Saurabh Singh , Sarmistha Das , Shiv Kumar

Recently Weyl fermions have attracted increasing interest in condensed matter physics due to their rich phenomenology originated from their nontrivial monopole charges. Here we present a theory of real Dirac points that can be understood as…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Y. X. Zhao , Y. Lu

Weyl semimetals are gapless three-dimensional (3D) phases whose bandstructures contain Weyl point (WP) degeneracies. WPs carry topological charge and can only be eliminated by mutual annihilation, a process that generates the various…