Crystalline axion electrodynamics in charge-ordered Dirac semimetals
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914700633047040 |
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| author | May-Mann, Julian Hirsbrunner, Mark R. Gioia, Lei Hughes, Taylor L. |
| author_facet | May-Mann, Julian Hirsbrunner, Mark R. Gioia, Lei Hughes, Taylor L. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_00055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crystalline axion electrodynamics in charge-ordered Dirac semimetals May-Mann, Julian Hirsbrunner, Mark R. Gioia, Lei Hughes, Taylor L. Strongly Correlated Electrons Mesoscale and Nanoscale Physics 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. |
| title | Crystalline axion electrodynamics in charge-ordered Dirac semimetals |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2403.00055 |