Chiral charge conservation and ballistic magnetotransport in a disordered Weyl semimetal

Abstract

We demonstrate that in an ideal Weyl semimetal, in which the Fermi energy coincides with the band-touching nodes, weak direct inter-nodal scattering is irrelevant and, as a result, the chiral charge is (almost) exactly conserved. This leads to an experimentally-observable effect: in an applied magnetic field, the charge transport along the field becomes purely ballistic, with the conductance given by $e^2/h$ per magnetic flux quantum through the sample cross-section. This is the strongest experimental manifestation of nontrivial topology in Weyl and Dirac semimetals.

arXiv comment8+ pages, published version

References in corpus (29)

• Topological Insulators
• Topological insulators and superconductors
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl Semimetal in a Topological Insulator Multilayer
• Topological nodal semimetals
• 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
• Giant Planar Hall Effect in Topological Metals
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Quantum transport and two-parameter scaling at the surface of a weak topological insulator
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Average Symmetry-Protected Topological Phases
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• Theory of the strongly disordered Weyl semimetal
• Electric polarization as a nonquantized topological response and boundary Luttinger theorem
• Elasticity tetrads, mixed axial-gravitational anomalies, and 3+1d quantum Hall effect
• Anomalous transport properties of Dirac and Weyl semimetals
• Quantum anomalies in nodal line semimetals
• Observation of 2D Weyl Fermion States in Epitaxial Bismuthene
• Emergent anomalies and generalized Luttinger theorems in metals and semimetals
• Topological polarization, dual invariants, and surface flat band in crystalline insulators
• Dynamical density response and optical conductivity in topological metals
• Gapless Fermionic Systems as Phase-space Topological Insulators: Non-perturbative Results from Anomalies
• Disordered Weyl semimetal as an array of coupled Hubbard chains
• Absence of localization in Weyl semimetals