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Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases

Geraedts, Scott D. and Motrunich, Olexei I. (2014) Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases. Physical Review X, 4 (4). Art. No. 041049. ISSN 2160-3308. http://resolver.caltech.edu/CaltechAUTHORS:20150122-101201662

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Abstract

We study a topological phase of interacting bosons in (3 + 1) dimensions that is protected by charge conservation and time-reversal symmetry. We present an explicit lattice model that realizes this phase and that can be studied in sign-free Monte Carlo simulations. The idea behind our model is to bind bosons to topological defects called hedgehogs. We determine the phase diagram of the model and identify a phase where such bound states are proliferated. In this phase, we observe a Witten effect in the bulk whereby an external monopole binds half of the elementary boson charge, which confirms that it is a bosonic topological insulator. We also study the boundary between the topological insulator and a trivial insulator. We find a surface phase diagram that includes exotic superfluids, a topologically ordered phase, and a phase with a Hall effect quantized to one-half of the value possible in a purely two-dimensional system. We also present models that realize symmetry-enriched topologically ordered phases by binding multiple hedgehogs to each boson; these phases show charge fractionalization and intrinsic topological order as well as a fractional Witten effect.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevX.4.041049DOIArticle
http://journals.aps.org/prx/abstract/10.1103/PhysRevX.4.041049#abstractPublisherArticle
http://arxiv.org/abs/1408.1096arXivDiscussion Paper
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2014 American Physical Society. Published 22 December 2014. Received 5 September 2014. We thank M. Metlitski, M. P. A. Fisher, F. Burnell, A. Kapustin, C. von Keyserlingk, J. Preskill, T. Senthil, and A. Vishwanath for many useful discussions. We are particularly indebted to Max Metlitski and Matthew Fisher for sharing their unpublished results and crucial insights guiding our work, and also for carefully reading the manuscript and suggesting many improvements. This research is supported by the National Science Foundation through Grant No. DMR-1206096, and by the Caltech Institute of Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
NSFDMR-1206096
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Non-Subject Keywords:Condensed Matter Physics, Statistical Physics, Topological Insulators
Record Number:CaltechAUTHORS:20150122-101201662
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150122-101201662
Official Citation:Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases Scott D. Geraedts and Olexei I. Motrunich Phys. Rev. X 4, 041049 (2014) – Published 22 December 2014
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53989
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:22 Jan 2015 19:15
Last Modified:13 Dec 2016 03:02

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