Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations

2015/08/18 by Alberto Cortijo, M. A. Zubkov, M.A. Zubkov · 4 citations
Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Fermi Gamma-ray Space Telescope #Gauge (firearms) #Gauge theory #Gravitation #Quantum Electrodynamics and Casimir Effect #Semimetal #Symmetry (geometry) #Topological Materials and Phenomena #Weyl semimetal #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1016/j.aop.2016.01.006

published as Annals of Physics, Volume 366, March 2016, Pages 45 - 56 · Latex, 12 pages. arXiv admin note: text overlap with arXiv:1508.03114

arxiv created 2015/08/18 · openalex publication_date 2016/01/13 · arxiv updated 2016/02/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the tight-binding model with cubic symmetry that may be relevant for the description of a certain class of Weyl semimetals. We take into account elastic deformations of the semimetal through the modification of hopping parameters. This modification results in the appearance of emergent gauge field and the coordinate dependent anisotropic Fermi velocity. The latter may be interpreted as emergent gravitational field.

Citations

• Torsion, parity-odd response, and anomalies in topological states
• Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
• A stable three-dimensional topological Dirac semimetal Cd3As2

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