Effective field theory of the disordered Weyl semimetal

Abstract

In disordered Weyl semimetals, mechanisms of topological origin lead to the protection against Anderson localization, and at the same time to different types of transverse electromagnetic response -- the anomalous Hall, and chiral magnetic effect. We here apply field theory methods to discuss the manifestation of these phenomena at length scales which are beyond the scope of diagrammatic perturbation theory. Specifically we show how an interplay of symmetry breaking and the chiral anomaly leads to a field theory containing two types of topological terms. Generating the unconventional response coefficients of the system, these terms remain largely unaffected by disorder, i.e. information on the chirality of the system remains visible even at large length scales.

4 pages, 1 figure

References in corpus (5)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Unconventional localisation transition in high dimensions

Cited by in corpus (15)

• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Quantum transport theory for unconventional magnets: Interplay of altermagnetism and p-wave magnetism with superconductivity
• Anomalous Transport Signatures in Weyl Semimetals with Point Defects
• Time-reversal-broken Weyl semimetal in the Hofstadter regime
• Topological diffusive metal in amorphous transition metal monosilicides
• Surface quantum critical phenomena in disordered Dirac semimetals
• Topological physics in quantum critical systems
• Disordered Weyl semimetal as an array of coupled Hubbard chains
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• Absence of localization in Weyl semimetals
• Disorder Driven Non-Anderson Transition in a Weyl Semimetal
• Electron transport in a weakly disordered Weyl semimetal
• Boundary critical behavior of the Gross-Neveu-Yukawa model