Exact Boson-Fermion Duality on a 3D Euclidean Lattice

Chen, Jing-Yuan; Son, Jun Ho; Wang, Chao; Raghu, S.

doi:10.1103/PhysRevLett.120.016602

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

Journal Article · Fri Jan 05 00:00:00 EST 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.120.016602· OSTI ID:1417630

Chen, Jing-Yuan ^[1]; Son, Jun Ho ^[1]; Wang, Chao ^[1]; Raghu, S. ^[2]

Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)

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.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Gordon and Betty Moore Foundation (GBMF)

Grant/Contract Number:: GBMF4302; AC02-76SF00515

OSTI ID:: 1417630

Alternate ID(s):: OSTI ID: 1415883

Journal Information:: Physical Review Letters, Vol. 120, Issue 1; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 38 works

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Deconfined criticality from the ${QED}_{3}$ -Gross-Neveu model at three loops Ihrig, Bernhard; Janssen, Lukas; Mihaila, Luminita N. Physical Review B, Vol. 98, Issue 11 https://doi.org/10.1103/physrevb.98.115163	journal	September 2018
Conformality loss and quantum criticality in topological Higgs electrodynamics in $2 + 1$ dimensions Nogueira, Flavio S.; van den Brink, Jeroen; Sudbø, Asle Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/physrevd.100.085005	journal	October 2019
A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants Karch, Andreas; Tong, David; Turner, Carl SciPost Physics, Vol. 7, Issue 1 https://doi.org/10.21468/scipostphys.7.1.007	journal	January 2019
Three-dimensional dualities with bosons and fermions Benini, Francesco arXiv https://doi.org/10.48550/arxiv.1712.00020	text	January 2017
A master bosonization duality Jensen, Kristan arXiv https://doi.org/10.48550/arxiv.1712.04933	text	January 2017
Master 3d Bosonization Duality with Boundaries Aitken, Kyle; Karch, Andreas; Robinson, Brandon arXiv https://doi.org/10.48550/arxiv.1803.08507	text	January 2018
Phases of Flavor Broken QCD$_3$ Baumgartner, Andrew arXiv https://doi.org/10.48550/arxiv.1905.04267	text	January 2019

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