Fermi arc reconstruction at the interface of twisted Weyl semimetals

Abstract

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.

arXiv comment18 pages, 12 figures

References in corpus (47)

• The electronic properties of graphene
• 2D materials and van der Waals heterostructures
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Moire bands in twisted double-layer graphene
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental discovery of Weyl semimetal TaAs
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Experimental observation of Weyl points
• Observation of Weyl nodes in TaAs
• Discovery of a Weyl Fermion semimetal state in NbAs
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
• Charge Transport in Weyl Semimetals
• Transport evidence for Fermi-arc mediated chirality transfer in the Dirac semimetal Cd${}_3$As${}_2$
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Non-Abelian gauge potentials in graphene bilayers
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• 3D quantum Hall effect of Fermi arcs in topological semimetals
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Band Symmetries and Singularities in Twisted Multilayer Graphene
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Chirality Hall Effect in Weyl Semimetals
• Origin of dissipative Fermi arc transport in Weyl semimetals
• Effective field theory of the disordered Weyl semimetal
• Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
• Current at a distance and resonant transparency in Weyl semimetals
• Dissolution of topological Fermi arcs in a dirty Weyl semimetal
• Single particle excitations in disordered Weyl fluids
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• Do the surface Fermi arcs in Weyl semimetals survive disorder?
• Chirality blockade of Andreev reflection in a magnetic Weyl semimetal
• Josephson effect in a Weyl SNS junction
• Chiral nodes and oscillations in the Josephson current in Weyl semimetals
• Fermi arc reconstruction at junctions between Weyl semimetals
• $0$-$\pi$ transitions in a Josephson junction of irradiated Weyl semimetal
• Surface States and Arcless Angles in Twisted Weyl Semimetals
• Fermi arc mediated entropy transport in topological semimetals
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Transport across junctions of a Weyl and a multi-Weyl semimetal
• Transport through Andreev bound states in a Weyl semimetal quantum dot
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Fabry-Perot interferometry in Weyl semi-metals

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• Transport, refraction and interface arcs in junctions of Weyl semimetals
• Atomically Sharp Internal Interface in a Chiral Weyl Semimetal Nanowire
• Fermi-arc metals
• Time-reversal-broken Weyl semimetal in the Hofstadter regime
• Magnetic Breakdown and Chiral Magnetic Effect at Weyl-Semimetal Tunnel Junctions
• Broken symmetry and competing orders in Weyl semimetal interfaces
• Quantum Oscillation Signatures of Fermi Arcs in Tunnel Magnetoconductance
• Quantum description of Fermi arcs in Weyl semimetals in a magnetic field
• Tunnelling theory of Weyl semimetals in proximity to a metallic band
• Magneto tunnel conductance across twisted Weyl semimetal junctions
• Magnetotransport across Weyl semimetal grain boundaries