Published December 15, 2022
| public
Journal Article
Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
- Creators
- Kapustin, Anton
- Spodyneiko, Lev
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.
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.Additional details
- Eprint ID
- 118790
- Resolver ID
- CaltechAUTHORS:20230112-143000300.1
- DE-SC0011632
- Department of Energy (DOE)
- 651446
- Simons Foundation
- Created
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2023-02-10Created from EPrint's datestamp field
- Updated
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2023-02-10Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics