skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Exact Boson-Fermion Duality on a 3D Euclidean Lattice

Abstract

The idea of statistical transmutation plays a crucial role in descriptions of the fractional quantum Hall effect. However, a recently conjectured duality between a critical boson and a massless two-component Dirac fermion extends this notion to gapless systems. This duality sheds light on highly nontrivial problems such as the half-filled Landau level, the superconductor-insulator transition, and surface states of strongly coupled topological insulators. Although this boson-fermion duality has undergone many consistency checks, it has remained unproven. Here, we describe the duality in a nonperturbative fashion using an exact UV mapping of partition functions on a 3D Euclidean lattice.

Authors:
 [1];  [1];  [1];  [2]
  1. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
  2. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Gordon and Betty Moore Foundation (GBMF)
OSTI Identifier:
1417630
Alternate Identifier(s):
OSTI ID: 1415883
Grant/Contract Number:  
GBMF4302; AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 1; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Chen, Jing-Yuan, Son, Jun Ho, Wang, Chao, and Raghu, S. Exact Boson-Fermion Duality on a 3D Euclidean Lattice. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.016602.
Chen, Jing-Yuan, Son, Jun Ho, Wang, Chao, & Raghu, S. Exact Boson-Fermion Duality on a 3D Euclidean Lattice. United States. doi:10.1103/PhysRevLett.120.016602.
Chen, Jing-Yuan, Son, Jun Ho, Wang, Chao, and Raghu, S. Fri . "Exact Boson-Fermion Duality on a 3D Euclidean Lattice". United States. doi:10.1103/PhysRevLett.120.016602.
@article{osti_1417630,
title = {Exact Boson-Fermion Duality on a 3D Euclidean Lattice},
author = {Chen, Jing-Yuan and Son, Jun Ho and Wang, Chao and Raghu, S.},
abstractNote = {The idea of statistical transmutation plays a crucial role in descriptions of the fractional quantum Hall effect. However, a recently conjectured duality between a critical boson and a massless two-component Dirac fermion extends this notion to gapless systems. This duality sheds light on highly nontrivial problems such as the half-filled Landau level, the superconductor-insulator transition, and surface states of strongly coupled topological insulators. Although this boson-fermion duality has undergone many consistency checks, it has remained unproven. Here, we describe the duality in a nonperturbative fashion using an exact UV mapping of partition functions on a 3D Euclidean lattice.},
doi = {10.1103/PhysRevLett.120.016602},
journal = {Physical Review Letters},
number = 1,
volume = 120,
place = {United States},
year = {Fri Jan 05 00:00:00 EST 2018},
month = {Fri Jan 05 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on January 5, 2019
Publisher's Version of Record

Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

Save / Share: