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We analyze junctions between noninteracting fermionic topological phases. A closed-form condition for the existence of localized modes at the interface is derived using the transfer matrix approach. These analytical conditions as well as…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Vatsal Dwivedi

Fermi arc states are features of Weyl semimetal (WSM) surfaces which are robust due to the topological character of the bulk band structure. We demonstrate that Fermi arcs may undergo profound restructurings when surfaces of different…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Ganpathy Murthy , Herbert A Fertig , Efrat Shimshoni

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

Bulk-surface correspondence in Weyl semimetals assures the formation of topological "Fermi-arc" surface bands whose existence is guaranteed by bulk Weyl nodes. By investigating three distinct surface terminations of the ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-09-23 Noam Morali , Rajib Batabyal , Pranab Kumar Nag , Enke Liu , Qiunan Xu , Yan Sun , Binghai Yan , Claudia Felser , Nurit Avraham , Haim Beidenkopf

Weyl semimetals harbor unusual surface states known as Fermi arcs, which are essentially disjoint segments of a two dimensional Fermi surface. We describe a prescription for obtaining Fermi arcs of arbitrary shape and connectivity by…

Strongly Correlated Electrons · Physics 2012-11-08 Pavan Hosur

The Weyl semimetal is a new quantum state of topological semimetal, of which topological surface states -- the Fermi arcs exist. In this paper, the Fermi arcs in Weyl semimetals are classified into two classes -- class-1 and class-2. Based…

Materials Science · Physics 2018-03-14 Xiao-Ming Zhao , Xiao Kong , Cui-Xian Guo , Ya-Jie Wu , Su-Peng Kou

The chiral surface states of Weyl semimetals have an open Fermi surface called Fermi arc. At the interface between two Weyl semimetals, these Fermi arcs are predicted to hybridize and alter their connectivity. In this letter, we numerically…

Mesoscale and Nanoscale Physics · Physics 2023-08-07 D. -H. -Minh Nguyen , Chiara Devescovi , Dung Xuan Nguyen , Hai Son Nguyen , Dario Bercioux

Weyl semimetals constitute a newly discovered class of three-dimensional topological materials with linear touchings of valence and conduction bands in the bulk. The most striking property of topological origin in these materials, so far…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Stefanos Kourtis , Jian Li , Zhijun Wang , Ali Yazdani , B. Andrei Bernevig

We study dispersions of Fermi arcs in the Weyl semimetal phase by constructing a simple effective model. We calculate how the surface Fermi-arc dispersions for the top- and bottom surfaces merge into the bulk Dirac cones in the Weyl…

Mesoscale and Nanoscale Physics · Physics 2014-06-30 Ryo Okugawa , Shuichi Murakami

We present a physical scenario in which both Fermi arcs and two-dimensional gapless Dirac states coexist as boundary modes at the same two-dimensional surface. This situation is realized in topological insulator-Weyl semimetal interfaces in…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 Adolfo G. Grushin , Jörn W. F. Venderbos , Jens H. Bardarson

A hallmark of Weyl semimetal is the existence of surface Fermi arcs connecting two surface-projected Weyl nodes with opposite chiralities. An intriguing question is what determines the connectivity of surface Fermi arcs, when multiple pairs…

Strongly Correlated Electrons · Physics 2017-01-10 Kun Woo Kim , Woo-Ram Lee , Yong Baek Kim , Kwon Park

In the recently discovered Weyl semimetals, the Fermi surface may feature disjoint, open segments -- the so-called Fermi arcs -- associated with topological states bound to exposed crystal surfaces. Here we show that the collective dynamics…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Justin C. W. Song , Mark S. Rudner

One of the main features of Weyl semimetals is the existence of Fermi arc surface states at their surface, which cannot be realized in pure two-dimensional systems in the absence of many-body interactions. Due to the gapless bulk of the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Guangze Chen , Oded Zilberberg , Wei Chen

We present a semiclassical explanation for the morphology of the surface Fermi arcs of Weyl semimetals. Viewing the surface states as a two-dimensional Fermi gas subject to band bending and Berry curvatures, we show that it is the…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jiajia Huang , Luyang Wang , Dao-Xin Yao

Coexistence of surface superconductivity and Fermi arcs in trigonal $\gamma$-PtBi$_2$ has recently attracted attention for possible realization of topological superconductivity. The Fermi arcs on the two different (0001) surface…

Materials Science · Physics 2026-01-09 Lin-Lin Wang

Weyl semimetals host topologically protected surface states, the so-called Fermi arcs, that have a penetration depth into the bulk that depends on surface-momentum, and diverges at the Weyl points. It has recently been observed in PtBi$_2$…

Superconductivity · Physics 2025-09-12 Mattia Trama , Viktor Könye , Ion Cosma Fulga , Jeroen van den Brink

In Weyl materials the valence and conduction electron bands touch at an even number of isolated points in the Brillouin zone. In the vicinity of these points the electron dispersion is linear and may be described by the massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Songci Li , A. V. Andreev

The hallmark of Weyl semimetals is the existence of open constant-energy contours on their surface -- the so-called Fermi arcs -- connecting Weyl points. Here, we show that for time-reversal symmetric realizations of Weyl semimetals these…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Alexander Lau , Klaus Koepernik , Jeroen van den Brink , Carmine Ortix

We study the effects of tunnelling on the band structure and Fermi arc of a time-reversal broken Weyl semimetal (WSM). When coupled to a non-magnetic parabolic band, the WSM's chiral arc state lowers in energy and forms, together with a…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 L. Goutte , T. Pereg-Barnea

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
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