Quantum Criticality between Topological and Band Insulators in3+1Dimensions

2011/01/31 by Pallab Goswami, Sudip Chakravarty · 243 citations
Materials Science · Physics and Astronomy · #Computer science #Electronic and Structural Properties of Oxides #Graphene research and applications #Physics #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.107.196803

published in Physical Review Letters 107(19), 196803 (American Physical Society) · 16 pages, 14 figures; replaced with the version accepted by PRL

arxiv created 2011/10/07 · openalex publication_date 2011/11/02 · arxiv updated 2015/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Four-component massive and massless Dirac fermions in the presence of long range Coulomb interaction and chemical potential disorder exhibit striking fermionic quantum criticality. For an odd number of flavors of Dirac fermions, the sign of the Dirac mass distinguishes the topological and the trivial band insulator phases, and the gapless semimetallic phase corresponds to the quantum critical point that separates the two. Up to a critical strength of disorder, the semimetallic phase remains stable, and the universality class of the direct phase transition between two insulating phases is unchanged. Beyond the critical strength of disorder the semimetallic phase undergoes a phase transition into a disorder controlled diffusive metallic phase, and there is no longer a direct phase transition between the two types of insulating phases.

Citations

• Graphene via largeN: A renormalization group study
• Topological field theory of time-reversal invariant insulators
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Anderson Insulator in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Quantum Critical Scaling in Graphene
• The Anderson-Mott transition
• Topological Insulators

Cited by

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• Competition between disorder and interaction effects in three-dimensional Weyl semimetals
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• Do the surface Fermi arcs in Weyl semimetals survive disorder?
• Magnetic field induced topological semimetals near the quantum critical point of pyrochlore iridates
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Charge Transport in Weyl Semimetals