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A Weyl semimetal with a pair of Weyl nodes accommodates chiral states on its flat surface if the Weyl nodes are projected onto two different points in the corresponding surface Brillouin zone. These surface states are collectively referred…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Yositake Takane

The surface Fermi arc, as a hallmark of Weyl semimetals (WSMs), has been well known in current research, but it remains a challenge to unveil novel phenomena associated with the Fermi arc. Here, we predict a heretofore unrecognized process…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Jin Cao , Maoyuan Wang , Zhi-Ming Yu , Yugui Yao

Domain walls in three-dimensional Weyl semimetals, formed by localized magnetic moments, are investigated. There appear bound states around the domain wall with the discrete spectrum, among which we find "Fermi arc" states with the linear…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yasufumi Araki , Akihide Yoshida , Kentaro Nomura

We numerically study the effect of short ranged potential disorder on massless noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of the proposed quantum critical point separating the semimetal and…

Disordered Systems and Neural Networks · Physics 2016-07-20 J. H. Pixley , David A. Huse , S. Das Sarma

We introduce spectral flow techniques to explain why the Fermi arcs of Weyl semimetals are topologically protected against boundary condition changes and perturbations. We first analyse the topology of a certain universal space of…

Mathematical Physics · Physics 2022-09-23 Guo Chuan Thiang

We study superconductivity in a Weyl semimetal with broken time-reversal symmetry and stabilized by a point-group symmetry. The resulting superconducting phase is characterized by topologically protected bulk nodes and surface states with…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Vasudha Shivamoggi , Matthew J. Gilbert

For noninteracting Weyl semimetals (WSMs), Fermi-arc surface states can arise when there exist gapless Weyl nodes in the bulk single-particle spectrum. However, in the presence of electronic correlations, it is not clear whether this…

Strongly Correlated Electrons · Physics 2020-07-27 Yu-Chin Tzeng , Min-Fong Yang

We predict that CeBi in the ferromagnetic state is a Weyl semimetal. Our calculations within density functional theory show the existence of two pairs of Weyl nodes on the momentum path $(0, 0, k_z)$ at $15$ meV} above and $100$ meV below…

We develop a theory for electron-electron interaction-induced many-body effects in three dimensional (3D) Weyl or Dirac semimetals, including interaction corrections to the polarizability, electron self-energy, and vertex function, up to…

Mesoscale and Nanoscale Physics · Physics 2015-09-07 Robert E. Throckmorton , Johannes Hofmann , Edwin Barnes , S. Das Sarma

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

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…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 Bitan Roy , Sankar Das Sarma

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Topological semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 A. A. Burkov

We formulate a linear response theory of the chiral magnetic effect in a finite Weyl semimetal, expressing the electrical current density $j$ induced by a slowly oscillating magnetic field $B$ or chiral chemical potential $\mu$ in terms of…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 P. Baireuther , J. A. Hutasoit , J. Tworzydło , C. W. J. Beenakker

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto

Smooth interfaces of topological systems are known to host massive surface states along with the topologically protected chiral one. We show that in Weyl semimetals these massive states, along with the chiral Fermi arc, strongly alter the…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Xin Lu , Dibya Kanti Mukherjee , Mark O. Goerbig

We analyze the structure of the surface states and Fermi arcs of Weyl semimetals as a function of the boundary conditions parameterizing the Hamiltonian self-adjoint extensions of a minimal model with two Weyl points. These boundary…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Michele Burrello , Enore Guadagnini , Luca Lepori , Mihail Mintchev

We apply the method of self-adjoint extensions of Hermitian operators to the low-energy, continuum Hamiltonians of Weyl semimetals in bounded geometries and derive the spectrum of the surface states on the boundary. This allows for the full…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 Babak Seradjeh , Michael Vennettilli

The disjointed Fermi-arcs in Weyl semimetals can intertwine with chiral bulk modes and participate in unusual closed magnetic orbits in the presence of a vertical magnetic field. Here we carry out the quantum oscillation study of such…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Guolin Zheng , Min Wu , Hongwei Zhang , Weiwei Chu , Wenshuai Gao , Jianwen Lu , Yuyan Han , Jiyong Yang , Haifeng Du , Wei Ning , Yuheng Zhang , Mingliang Tian

Weyl nodal loop semimetals are gapless topological phases that, unlike their insulator counterparts, may be unstable to small perturbations that respect their topology-protecting symmetries. Here, we analyze a clean system perturbed by…

Disordered Systems and Neural Networks · Physics 2025-02-07 João S. Silva , Miguel Gonçalves , Eduardo V. Castro , Pedro Ribeiro , Miguel A. N. Araújo