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Hohenberg-Mermin-Wagner-type theorems and dipole symmetry

Kapustin, Anton and Spodyneiko, Lev (2022) Hohenberg-Mermin-Wagner-type theorems and dipole symmetry. Physical Review B, 106 (24). Art. No. 245125. ISSN 2469-9950. doi:10.1103/physrevb.106.245125.

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We study the possibility of spontaneous symmetry breaking in systems with both charge and dipole symmetries. For d-dimensional systems at a positive temperature, we show that charge symmetry cannot be spontaneously broken for d ≤ 4, while dipole symmetry cannot be spontaneously broken for d ≤ 2. For T = 0, we show that charge symmetry cannot be spontaneously broken for d ≤ 2 if the compressibility is finite. We also show that continuum systems with a dipole symmetry have infinite inertial mass density.

Item Type:Article
Related URLs:
URLURL TypeDescription
Kapustin, Anton0000-0003-3903-5158
Spodyneiko, Lev0000-0002-6099-7717
Additional Information:We thank Xiaoyang Huang, Ethan Lake, Leo Radzihovsky, and Senthil Todadri for discussions. A.K. was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. A.K. was also supported by the Simons Investigator Award. L.S. was supported by the Simons Collaboration on Ultra-Quantum Matter, which is a grant (Grant No. 651446) from the Simons Foundation.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons Foundation651446
Issue or Number:24
Record Number:CaltechAUTHORS:20230112-143000300.1
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118790
Deposited By: Research Services Depository
Deposited On:10 Feb 2023 17:01
Last Modified:10 Feb 2023 17:01

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