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. https://resolver.caltech.edu/CaltechAUTHORS:20230112-143000300.1
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Abstract
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.
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| 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 | ||||||
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| Issue or Number: | 24 | ||||||
| DOI: | 10.1103/physrevb.106.245125 | ||||||
| Record Number: | CaltechAUTHORS:20230112-143000300.1 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20230112-143000300.1 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 118790 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Research Services Depository | ||||||
| Deposited On: | 10 Feb 2023 17:01 | ||||||
| Last Modified: | 10 Feb 2023 17:01 |
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