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

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:
Grant/Contract Number:
GBMF4302; AC02-76SF00515
Type:
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)
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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1417630
Alternate Identifier(s):
OSTI ID: 1415883

Chen, Jing-Yuan, Son, Jun Ho, Wang, Chao, and Raghu, S. Exact Boson-Fermion Duality on a 3D Euclidean Lattice. United States: N. p., 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. 2018. "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 = {2018},
month = {1}
}