Criticality of Dirac fermions in the presence of emergent gauge fields

2019/06/30 by Elliot Christou, Fernando de Juan, Fernado de Juan +1 · 8 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Chiral symmetry breaking #Dirac fermion #Dirac sea #Fermion #Gauge theory #Helical Dirac fermion #Lattice field theory #Lattice gauge theory #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Renormalization group #Spontaneous symmetry breaking #Symmetry breaking #Theoretical physics #Topological Materials and Phenomena #cond-mat.str-el #hep-th

paper · pdf · doi:10.1103/physrevb.101.155121

published in Physical review. B./Physical review. B 101(15) (American Physical Society) · This article is superseded by the extended version arXiv:2002.10955

openalex created_date 2019/06/14 · arxiv created 2020/04/16 · openalex publication_date 2020/04/16 · arxiv updated 2020/04/22 · openalex updated_date 2026/08/05

Abstract

We consider spontaneous symmetry-breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using a renormalization group analysis, we show that the presence of gauge fields leads to fermion-induced quantum (multi)criticality where the putative emergent Lorentz invariance is violated. We illustrate this with the example of translational symmetry breaking due to charge-density wave order on the honeycomb lattice. Finally, we identify that topological phase transitions are well described by this effective field theory.

Citations

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