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Time reversal invariant gapped boundaries of the double semion state

Burnell, Fiona and Chen, Xie and Kitaev, Alexei and Metlitski, Max and Vishwanath, Ashvin (2016) Time reversal invariant gapped boundaries of the double semion state. Physical Review B, 93 (23). Art. No. 235161. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20160623-125613186

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Abstract

The boundary of a fractionalized topological phase can be gapped by condensing a proper set of bosonic quasiparticles. Interestingly, in the presence of a global symmetry, such a boundary can have different symmetry transformation properties. Here we present an explicit example of this kind, in the double semion state with time reversal symmetry. We find two distinct cases where the semionic excitations on the boundary can transform either as time reversal singlets or as time reversal (Kramers) doublets, depending on the coherent phase factor of the Bose condensate. The existence of these two possibilities are demonstrated using both field-theory argument and exactly solvable lattice models. Furthermore, we study the domain walls between these two types of gapped boundaries and find that the application of time reversal symmetry tunnels a semion between them.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.93.235161DOIArticle
https://arxiv.org/abs/1509.00355arXivDiscussion Paper
Additional Information:© 2016 American Physical Society. Received 30 March 2016; published 30 June 2016. We would like to thank Lukasz Fidkowski, Zhenghan Wang, Meng Cheng, and T. Senthil for discussion. X.C. is supported by the Miller Institute for Basic Research in Science at UC Berkeley, the Caltech Institute for Quantum Information and Matter and the Walter Burke Institute for Theoretical Physics. A.V. is supported by the Templeton Foundation. FJB is supported by NSF DMR-1352271 and Sloan FG-2015-65927.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Miller Institute for Basic Research in ScienceUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Templeton Foundation UNSPECIFIED
NSFDMR-1352271
Alfred P. Sloan FoundationFG-2015-65927
Issue or Number:23
Record Number:CaltechAUTHORS:20160623-125613186
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160623-125613186
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68639
Collection:CaltechAUTHORS
Deposited By: Jacquelyn O'Sullivan
Deposited On:27 Jun 2016 16:23
Last Modified:03 Oct 2019 10:15

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