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Using Green's function of semi-infinite Weyl semimetals we find that the collective charge excitations of Fermi arcs in undoped Weyl semi-metals are linearly dispersing gapless plasmon modes. The gaplessness comes from proper consideration…

Strongly Correlated Electrons · Physics 2019-12-16 Fatemeh Adivehvand , Zahra Faraei , Tohid Farajollahpour , S. A. Jafari

The topological classification of matter has been extended to include semimetallic phases characterized by the presence of topologically protected band degeneracies. In Weyl semimetals, the foundational gapless topological phase, chiral…

Materials Science · Physics 2020-07-16 Daniel Gosálbez-Martínez , Gabriel Autès , Oleg V. Yazyev

We develop an effective surface theory for the surface states of a Weyl semimetal. This theory includes the peculiar Fermi arc states on the surface as well as leakage of the states from the surface to the bulk. Subjecting the model to a…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Jan Borchmann , T. Pereg-Barnea

We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fermi arcs.

Mathematical Physics · Physics 2024-12-24 Guo Chuan Thiang

Weyl and Dirac relativistic fermions are ubiquitous in topological matter. Their relativistic character enables high energy physics phenomena like the chiral anomaly to occur in solid state, which allows to experimentally probe and explore…

A quantum phase transition in strongly correlated Fermi systems beyond the topological quantum critical point is studied within the Fermi liquid approach. The transition occurs between two topologically equivalent states, each with three…

Strongly Correlated Electrons · Physics 2011-08-22 S. S. Pankratov , M. V. Zverev , M. Baldo

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 investigate the effect of the incommensurate potential on Weyl semimetal, which is proposed to be realized in ultracold atomic systems trapped in three-dimensional optical lattices. For the system without the Fermi arc, we find that the…

Disordered Systems and Neural Networks · Physics 2017-05-31 Yucheng Wang , Shu Chen

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on the chiral edge of a Chern insulator and the sudden disappearance of surface states forming open Fermi arcs…

Mesoscale and Nanoscale Physics · Physics 2017-09-08 Flore K. Kunst , Maximilian Trescher , Emil J. Bergholtz

We investigate the consequences of applying electric fields perpendicularly to thin films of topological semimetals. In particular, we consider Weyl and Dirac semimetals in a configuration such that their surface Fermi arcs lie on opposite…

Mesoscale and Nanoscale Physics · Physics 2019-10-18 Yuriko Baba , Álvaro Díaz-Fernández , Elena Díaz , Francisco Domínguez-Adame , Rafael A. Molina

We examine the nature of phase transitions occurring in strongly correlated Fermi systems at the quantum critical point (QCP) associated with a divergent effective mass. Conventional scenarios for the QCP involving collective degrees of…

Strongly Correlated Electrons · Physics 2010-04-20 V. A. Khodel , J. W. Clark , M. V. Zverev

We theoretically study the topological robustness of the surface physics induced by Weyl Fermi-arc surface states in the presence of short-ranged quenched disorder and surface-bulk hybridization. This is investigated with numerically exact…

Strongly Correlated Electrons · Physics 2018-06-28 Justin H. Wilson , J. H. Pixley , David A. Huse , Gil Refael , S. Das Sarma

Topological phases of matter exhibit phase transitions between distinct topological classes. These phase transitions are exotic in that they do not fall within the traditional Ginzburg-Landau paradigm but are instead associated with changes…

One of the most striking signatures of Weyl fermions is their surface Fermi arcs. Less known is that Fermi arcs can also be localized at internal twin boundaries where two Weyl materials of opposite chirality meet. In this work, we derive…

Mesoscale and Nanoscale Physics · Physics 2022-07-29 Sahal Kaushik , Iñigo Robredo , Nitish Mathur , Leslie M. Schoop , Song Jin , Maia G. Vergniory , Jennifer Cano

Topological semimetals have recently attracted great attention due to prospective applications governed by their peculiar Fermi surfaces. Weyl semimetals host chiral fermions that manifest as pairs of non-degenerate massless Weyl points in…

The response to an electric field (DC and AC) of electronic systems in which the Fermi "surface" consists of a number of 3D Weyl points (such as some pyrochlore iridates) exhibits a peculiar combination of characteristics usually associated…

Strongly Correlated Electrons · Physics 2015-06-15 B. Rosenstein , M. Lewkowicz

We experimentally investigate charge transport through the interface between a niobium superconductor and a three-dimensional WTe$_2$ Weyl semimetal. In addition to classical Andreev reflection, we observe sharp non-periodic subgap…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 A. Kononov , O. O. Shvetsov , S. V. Egorov , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

Unusual electronic property of a Weyl semi-metallic nanowire is revealed. Its band dispersion exhibits multiple subbands of partially flat dispersion, originating from the Fermi arc states. Remarkably, the lowest energy flat subbands bear a…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Ken-Ichiro Imura , Yositake Takane

Time-reversal invariant topological superconductors are a new state of matter which have a bulk superconducting gap and robust Majorana fermion surface states. These have not yet been realized in solid state systems. In this paper, we…

Strongly Correlated Electrons · Physics 2014-07-30 Pavan Hosur , Xi Dai , Zhong Fang , Xiao-Liang Qi

Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn…

Strongly Correlated Electrons · Physics 2021-03-24 Bernhard Irsigler , Tobias Grass , Jun-Hui Zheng , Mathieu Barbier , Walter Hofstetter