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Spontaneous mass generation due to phonons in a two-dimensional Dirac fermion system

2018/07/31 by Andreas Sinner, Klaus Ziegler · 12 citations
Physics and Astronomy · #Dirac (video compression format) #Dirac fermion #Fermion #Kubo formula #Mass gap #Parity (physics) #Phase transition #Phonon #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Symmetry breaking #Topological Materials and Phenomena #cond-mat.str-el #hep-th

paper · pdf · doi:10.1016/j.aop.2018.11.022

published in Annals of Physics 400, 262-278 (Elsevier BV)

openalex created_date 2018/07/10 · arxiv created 2018/11/28 · openalex publication_date 2018/12/01 · arxiv updated 2018/12/12 · openalex updated_date 2026/08/05

Abstract

Fermions with one and two Dirac nodes are coupled to in-plane phonons to study a spontaneous transition into the Hall insulating phase. At sufficiently strong electron-phonon interaction a gap appears in the spectrum of fermions, signaling a transition into a phase with spontaneously broken parity and time-reversal symmetry. The structure of elementary excitations above the gap in the corresponding phase reveals the presence of scale invariant parity breaking terms which resemble Chern-Simons excitations. Evaluating the Kubo formula for both models we find quantized Hall plateaux in each case, with conductance of binodal model exactly twice as large as of the mononodal model.

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