Pseudo-gauge fields in Dirac and Weyl materials

Jiabin Yu, Chao Xing Liu

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations


Electrons in low-temperature solids are governed by the nonrelativistic Schrödinger equation, since the electron velocities are much slower than the speed of light. Remarkably, the low-energy quasi-particles given by electrons in various materials can behave as relativistic Dirac/Weyl fermions that obey the relativistic Dirac/Weyl equation. These materials are called “Dirac/Weyl materials,” which provide a tunable platform to test relativistic quantum phenomena in table-top experiments. More interestingly, different types of physical fields in these Weyl/Dirac materials, such as magnetic fluctuations, lattice vibration, strain, and material inhomogeneity, can couple to the “relativistic” quasi-particles in a similar way as the U(1) gauge coupling. As these fields do not have gauge-invariant dynamics in general, we refer to them as “pseudo-gauge fields.” In this chapter, we overview the concept and the physical consequences of pseudo-gauge fields in Weyl/Dirac materials. In particular, we will demonstrate that pseudo-gauge fields can provide a unified understanding of a variety of physical phenomena, including chiral zero modes inside a magnetic vortex core of magnetic Weyl semimetals, a giant current response at magnetic resonance in magnetic topological insulators, and piezo-electromagnetic response in time-reversal invariant systems. These phenomena are deeply related to various concepts in high-energy physics, such as chiral anomaly and axion electrodynamics.

Original languageEnglish (US)
Title of host publicationTopological Insulator and Related Topics
EditorsLu Li, Kai Sun
PublisherAcademic Press Inc.
Number of pages30
ISBN (Print)9780323915090
StatePublished - Jan 2021

Publication series

NameSemiconductors and Semimetals
ISSN (Print)0080-8784

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Metals and Alloys
  • Electrical and Electronic Engineering
  • Materials Chemistry


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