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Model of fractionalization of Faraday lines in compact electrodynamics

Geraedts, Scott D. and Motrunich, Olexei I. (2014) Model of fractionalization of Faraday lines in compact electrodynamics. Physical Review B, 90 (21). Art. No. 214505. ISSN 1098-0121. doi:10.1103/PhysRevB.90.214505.

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Motivated by ideas of fractionalization and intrinsic topological order in bosonic models with short-range interactions, we consider similar phenomena in formal lattice gauge theory models. Specifically, we show that a compact quantum electrodynamics (CQED) can have, besides the familiar Coulomb and confined phases, additional unusual confined phases where excitations are quantum lines carrying fractions of the elementary unit of electric field strength. We construct a model that has N-tupled monopole condensation and realizes 1/N fractionalization of the quantum Faraday lines. This phase has another excitation which is a Z_N quantum surface in spatial dimensions five and higher, but can be viewed as a quantum line or a quantum particle in four or three spatial dimensions, respectively. These excitations have statistical interactions with the fractionalized Faraday lines; for example, in three spatial dimensions, the particle excitation picks up a Berry phase of e^i2π/N when going around the fractionalized Faraday line excitation. We demonstrate the existence of this phase by Monte Carlo simulations in (3+1) space-time dimensions.

Item Type:Article
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URLURL TypeDescription Paper
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2014 American Physical Society. Received 14 September 2014; revised manuscript received 17 November 2014; published 1 December 2014. We would like to thank M. Metlitski, M. P. A. Fisher, F. Burnell, A. Kapustin, C. von Keyserlingk, J. Preskill, T. Senthil, and A. Vishwanath for many inspiring discussions. This research is supported by the National Science Foundation through Grant No. DMR-1206096, and by the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:21
Classification Code:PACS number(s): 11.15.Ha
Record Number:CaltechAUTHORS:20150115-095007267
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Official Citation:Geraedts, S. D., & Motrunich, O. I. (2014). Model of fractionalization of Faraday lines in compact electrodynamics. Physical Review B, 90(21), 214505.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53763
Deposited On:15 Jan 2015 19:59
Last Modified:10 Nov 2021 20:06

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