Surface states and arcless angles in twisted Weyl semimetals

Murthy, Ganpathy; Fertig, H. A.; Shimshoni, Efrat

doi:10.1103/physrevresearch.2.013367

Cited by 21 publications

(16 citation statements)

References 42 publications

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“…To set the notation for the interface states of two twisted WSMs, we briefly review the derivation of the surface states for a semi-infinite WSM 34 . We begin with a general two band lattice model of a time reversal symmetry broken WSM on a cubic lattice.…”

Section: Time-reversal Symmetry Broken Model Of a Wsm And Its Surface...mentioning

confidence: 99%

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Fermi arc reconstruction at the interface of twisted Weyl semimetals

Abdulla,

Rao,

Murthy

2021

Preprint

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Three-dimensional Weyl semimetals have pairs of topologically protected Weyl nodes, whose projections onto the surface Brillouin zone are the end points of zero energy surface states called Fermi arcs. At the endpoints of the Fermi arcs, surface states extend into and are hybridized with the bulk. Here, we consider a two-dimensional junction of two identical Weyl semimetals whose surfaces are twisted with respect to each other and tunnel-coupled. Confining ourselves to commensurate angles (such that a larger unit cell preserves a reduced translation symmetry at the interface) enables us to analyze arbitrary strengths of the tunnel-coupling. We study the evolution of the Fermi arcs at the interface, in detail, as a function of the twisting angle and the strength of the tunnel-coupling. We show unambiguously that in certain parameter regimes, all surface states decay exponentially into the bulk, and the Fermi arcs become Fermi loops without endpoints. We study the evolution of the 'Fermi surfaces' of these surface states as the tunnel-coupling strengths vary. We show that changes in the connectivity of the Fermi arcs/loops have interesting signatures in the optical conductivity in the presence of a magnetic field perpendicular to the surface.

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Section: Time-reversal Symmetry Broken Model Of a Wsm And Its Surface...mentioning

confidence: 99%

“…To find the surface states, following Ref. 34, we assume that the slab is semi-infinite in the z-direction, with lattice sites labeled by n = 0, 1, 2 . .…”

Section: Time-reversal Symmetry Broken Model Of a Wsm And Its Surface...mentioning

confidence: 99%

Fermi arc reconstruction at the interface of twisted Weyl semimetals

Abdulla,

Rao,

Murthy

2021

Preprint

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“…Most experiments on Weyl semimetals focus on the angle-resolved photoemission spectroscopy, in which the existence of FAs has been confirmed. There are also theoretical studies of the FA and its transport properties [40][41][42][43][44], like quasiparticle interference (QPI) [45,46]. Recent progress has also shown that the configurations of the FAs are sensitive to the details of the sample boundary [47][48][49], thus opening the possibility for engineering FAs and exploring their novel effects and potential applications through surface device fabrication and transport measurements.…”

Section: Introductionmentioning

confidence: 99%

Conductance oscillation in surface junctions of Weyl semimetals

Chen

Zheng

et al. 2021

Phys. Rev. B

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Fermi arc surface states, the manifestation of the bulk-edge correspondence in Weyl semimetals, have attracted much research interest. In contrast to the conventional Fermi loop, the disconnected Fermi arcs provide an exotic two-dimensional (2D) system for exploration of novel physical effects on the surface of Weyl semimetals. Here, we propose that visible conductance oscillation can be achieved in planar junctions fabricated on the surface of a Weyl semimetal with a pair of Fermi arcs. It is shown that Fabry-Pérot-type interference inside the 2D junction can generate conductance oscillation with its visibility strongly relying on the shape of the Fermi arcs and their orientation relative to the strip electrodes, the latter clearly revealing the anisotropy of the Fermi arcs. Moreover, we show that the visibility of the oscillating pattern can be significantly enhanced by a magnetic field perpendicular to the surface taking advantage of the bulk-surface connected Weyl orbits. Our work offers an effective way to identify Fermi arc surface states through transport measurement and predicts the surface of Weyl semimetals as a novel platform for the implementation of 2D conductance oscillations.

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“…The gapless bulk Weyl nodes must coexist on general grounds with gapless and topologically protected Fermiarc surface states, which connect the projections on the surface Brillouin zone of different Weyl nodes. These surface states are chiral, i.e., have a unidirectional sense of propagation, and define open curves as Fermi surface segments [21][22][23][24][25][26][27][28][29][30][31][32][33][34]. The Fermi arc parts of the Fermi surface seamlessly merge with the bulk quasiparticle parts at the arc termination points [6,23,35,36].…”

Section: Introductionmentioning

confidence: 99%

Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals

Buccheri,

De Martino,

Pereira

et al. 2021

Preprint

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Surface states and arcless angles in twisted Weyl semimetals

Cited by 21 publications

References 42 publications

Fermi arc reconstruction at the interface of twisted Weyl semimetals

Fermi arc reconstruction at the interface of twisted Weyl semimetals

Conductance oscillation in surface junctions of Weyl semimetals

Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals

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