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Published October 2017 | Version Published + Submitted
Journal Article Open

Symmetry and duality in bosonization of two-dimensional Dirac fermions

Creators

  • 1. ROR icon Weizmann Institute of Science
  • 2. ROR icon California Institute of Technology

Abstract

Recent work on a family of boson-fermion mappings has emphasized the interplay of symmetry and duality: Phases related by a particle-vortex duality of bosons (fermions) are related by time-reversal symmetry in their fermionic (bosonic) formulation. We present exact mappings for a number of concrete models that make this property explicit on the operator level. We illustrate the approach with one- and two-dimensional quantum Ising models and then similarly explore the duality web of complex bosons and Dirac fermions in (2+1) dimensions. We generalize the latter to systems with long-range interactions and discover a continuous family of dualities embedding the previously studied cases.

Additional Information

© 2017 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 13 May 2017; published 23 October 2017. We gratefully acknowledge Chong Wang, Matthew Fisher, Yin-Chen He, and D. T. Son for valuable discussions. This work was supported by the NSF through Grants No. DMR-1341822 and DMR-1723367 (J. A.) and No. DMR-1619696 (O. I. M.). We also acknowledge support by the Institute for Quantum Information and Matter, a NSF Physics Frontiers Center, with support from the Gordon and Betty Moore Foundation.

Attached Files

Published - PhysRevX.7.041016.pdf

Submitted - 1705.01106.pdf

Files

1705.01106.pdf

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Additional details

Identifiers

Eprint ID
77769
Resolver ID
CaltechAUTHORS:20170525-150801314

Related works

Describes
http://arxiv.org/abs/1705.01106 (URL)

Funding

NSF
DMR-1341822
NSF
DMR-1723367
NSF
DMR-1619696
Institute for Quantum Information and Matter (IQIM)
Gordon and Betty Moore Foundation

Dates

Created
2017-05-25
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Institute for Quantum Information and Matter , Walter Burke Institute for Theoretical Physics , Physics Department