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Condensed Matter > Strongly Correlated Electrons
Title: Crystalline axion electrodynamics in charge-ordered Dirac semimetals
(Submitted on 29 Feb 2024 (v1), last revised 4 Mar 2024 (this version, v2))
Abstract: Three-dimensional Dirac semimetals can be driven into an insulating state by coupling to a charge density wave (CDW) order. Here, we consider the quantized crystalline responses of such charge-ordered Dirac semimetals, which we dub Dirac-CDW insulators, in which charge is bound to disclination defects of the lattice. Using analytic and numeric methods we show the following. First, when the CDW is lattice-commensurate, disclination-line defects of the lattice have a quantized charge per length. Second, when the CDW is inversion-symmetric, disclinations of the lattice have a quantized electric polarization. Third, when the CDW is lattice-commensurate and inversion-symmetric, disclinations are characterized by a "disclination filling anomaly" -- a quantized difference in the total charge bound to disclination-lines of Dirac-CDW with open and periodic boundaries. We construct an effective response theory that captures the topological responses of the Dirac-CDW insulators in terms of a total derivative term, denoted the $R\wedge F$ term. The $R\wedge F$ term describes the crystalline analog of the axion electrodynamics that are found in Weyl semimetal-CDW insulators. We also use the crystalline responses and corresponding response theories to classify the strongly correlated topological phases of three-dimensions Dirac-semimetals.
Submission history
From: Mark Hirsbrunner [view email][v1] Thu, 29 Feb 2024 19:00:00 GMT (2145kb,D)
[v2] Mon, 4 Mar 2024 16:05:45 GMT (2145kb,D)
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