Geraedts, Scott D. and Motrunich, Olexei I. (2012) Phases and phase transitions in a U(1) × U(1) system with θ = 2π/3 mutual statistics. Physical Review B, 86 (4). Art. No. 045106. ISSN 1098-0121. doi:10.1103/PhysRevB.86.045106. https://resolver.caltech.edu/CaltechAUTHORS:20120807-095947454
![]()
|
PDF
- Published Version
See Usage Policy. 615kB | |
![]()
|
PDF
- Submitted Version
See Usage Policy. 315kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20120807-095947454
Abstract
We study a U(1) × U(1) system with short-range interactions and mutual θ = 2π/3 statistics in (2+1) dimensions. We are able to reformulate the model to eliminate the sign problem and perform a Monte Carlo study. We find a phase diagram containing a phase with only small loops and two phases with one species of proliferated loop. We also find a phase where both species of loop condense, but without any gapless modes. Lastly, when the energy cost of loops becomes small, we find a phase that is a condensate of bound states, each made up of three particles of one species and a vortex of the other. We define several exact reformulations of the model that allow us to precisely describe each phase in terms of gapped excitations. We propose field-theoretic descriptions of the phases and phase transitions, which are particularly interesting on the “self-dual” line where both species have identical interactions. We also define irreducible responses useful for describing the phases.
Item Type: | Article | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||||||
ORCID: |
| ||||||||||||
Additional Information: | © 2012 American Physical Society. Received 8 May 2012; published 9 July 2012. We are thankful to A. Vishwanath, M. P. A. Fisher, T. Senthil, R. Kaul, G. Murthy, J. Moore, N. Read, A. Shapere, and W. Witzak-Krempa for stimulating discussions. This research is supported by the National Science Foundation through grant DMR-0907145; by the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and by the XSEDE computational initiative grant TG-DMR110052. | ||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||
Funders: |
| ||||||||||||
Issue or Number: | 4 | ||||||||||||
Classification Code: | PACS: 64.60.De | ||||||||||||
DOI: | 10.1103/PhysRevB.86.045106 | ||||||||||||
Record Number: | CaltechAUTHORS:20120807-095947454 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120807-095947454 | ||||||||||||
Official Citation: | Geraedts, S. D. and O. I. Motrunich (2012). "Phases and phase transitions in a U(1)×U(1) system with θ=2π/3 mutual statistics." Physical Review B 86(4): 045106. | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 32972 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | INVALID USER | ||||||||||||
Deposited On: | 07 Aug 2012 17:10 | ||||||||||||
Last Modified: | 09 Nov 2021 21:31 |
Repository Staff Only: item control page