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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

Chiral fermions in solid state feature "Fermi arc" states, connecting the surface projections of the bulk chiral nodes. The surface Fermi arc is a signature of nontrivial bulk topology. Unconventional chiral fermions with an extensive Fermi…

We show that a thin film of Weyl or Dirac semimetal with a strong in-plane magnetic field becomes a novel two-dimensional Fermi liquid with interesting properties. The Fermi surface in this system is strongly anisotropic, which originates…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 Daniel Bulmash , Xiao-Liang Qi

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yahya Alavirad , Jay D. Sau

We show that Weyl Fermi arcs are generically accompanied by a divergence of the surface Berry curvature scaling as $1/k^2$, where $k$ is the distance to a hot-line in the surface Brillouin zone that connects the projection of Weyl nodes…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Dennis Wawrzik , Jhih-Shih You , Jorge I. Facio , Jeroen van den Brink , Inti Sodemann

Weyl semimetals are known to host massless surface states called Fermi arcs. These Fermi arcs are the manifestation of the bulk-edge correspondence in topological matter and thus are analogous to the topological chiral surface states of…

Mesoscale and Nanoscale Physics · Physics 2020-03-09 Dibya Kanti Mukherjee , David Carpentier , Mark Oliver Goerbig

The influence of weak disorder on the superconductivity in ordinary metals can be formally described by the Abrikosov-Gorkov diagrammatic approach. The vertex correction is ignored in this approach because an inequality $k_F l \gg 1$, where…

Superconductivity · Physics 2019-05-17 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

In a slab geometry with large surface-to-bulk ratio, topological surface states such as Fermi arcs for Weyl or Dirac semimetals may dominate their low-energy properties. We investigate the collective charge oscillations in such systems,…

Mesoscale and Nanoscale Physics · Physics 2023-08-10 Debasmita Giri , Dibya Kanti Mukherjee , Sonu Verma , H. A. Fertig , Arijit Kundu

The complete lack of theoretical understanding of the quantum critical states found in the heavy fermion metals and the normal states of the high-T$_c$ superconductors is routed in deep fundamental problem of condensed matter physics: the…

Strongly Correlated Electrons · Physics 2008-07-08 Frank Krüger , Jan Zaanen

Non-Hermitian physics, studying systems described by non-Hermitian Hamiltonians, reveals unique phenomena not present in Hermitian systems. Unlike Hermitian systems, non-Hermitian systems have complex eigenvalues, making their effects less…

Physicists have discovered a novel topological semimetal, the Weyl semimetal, whose surface features a non-closed Fermi surface while the low energy quasiparticles in the bulk emerge as Weyl fermions. Here they share a brief review of the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Shuang Jia , Su-Yang Xu , M. Zahid Hasan

The surface of a Weyl semimetal famously hosts an exotic topological metal that contains open Fermi arcs rather than closed Fermi surfaces. In this work, we show that the surface is also endowed with a feature normally associated with…

Strongly Correlated Electrons · Physics 2022-09-20 Osakpolor Eki Obakpolor , Pavan Hosur

A signature property of Weyl semimetals is the existence of topologically protected surface states - arcs in momentum space that connect Weyl points in the bulk. However, the presence of bulks states makes detection of surface contributions…

Topological Dirac and Weyl semimetals have an energy spectrum that hosts Weyl nodes appearing in pairs of opposite chirality. Topological stability is ensured when the nodes are separated in momentum space and unique spectral and transport…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 Adolfo G. Grushin , Jorn W. F. Venderbos , Ashvin Vishwanath , Roni Ilan

Weyl semimetals are conductors whose low-energy bulk excitations are Weyl fermions, whereas their surfaces possess metallic Fermi arc surface states. These Fermi arc surface states are protected by a topological invariant associated with…

Materials Science · Physics 2017-02-24 M. Zahid Hasan , Su-Yang Xu , Ilya Belopolski , Shin-Ming Huang

We derive the spectra of surface states for massive Dirac Hamiltonians with either momentum or energy separation between the left- and right-handed Weyl nodes. Momentum separation between the Weyl nodes corresponds to the explicitly broken…

Strongly Correlated Electrons · Physics 2015-01-22 P. V. Buividovich

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 photogalvanic effect -- a rectified current induced by light irradiation -- requires the intrinsic symmetry of the medium to be sufficiently low, which strongly limits candidate materials for this effect. In this work we explore how in…

Mesoscale and Nanoscale Physics · Physics 2022-04-12 J. F. Steiner , A. V. Andreev , M. Breitkreiz

By making use of a low-energy effective model of Weyl semimetals, we show that the Fermi arc transport is dissipative. The origin of the dissipation is the scattering of the surface Fermi arc states into the bulk of the semimetal. It is…

Mesoscale and Nanoscale Physics · Physics 2016-06-27 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We consider the effects of weak quenched fermionic disorder on the quantum-phase transition between the Dirac semimetal and charge density wave (CDW) insulator in two spatial dimensions. The symmetry breaking transition is described by the…

Strongly Correlated Electrons · Physics 2022-02-25 Mikolaj D. Uryszek , Frank Krüger