Numerical observation of emergent spacetime supersymmetry at quantum criticality
Abstract
No definitive evidence of spacetime supersymmetry (SUSY) that transmutes fermions into bosons and vice versa has been revealed in nature so far. Moreover, the question of whether spacetime SUSY in 2 + 1 and higher dimensions can emerge in generic lattice microscopic models remains open. Here, we introduce a lattice realization of a single Dirac fermion in 2 + 1 dimensions with attractive interactions that preserves both timereversal and chiral symmetries. By performing sign problem–free determinant quantum Monte Carlo simulations, we show that an interacting single Dirac fermion in 2 + 1 dimensions features a superconducting quantum critical point (QCP). We demonstrate that the N = 2 spacetime SUSY in 2 + 1 dimensions emerges at the superconducting QCP by showing that the fermions and bosons have identical anomalous dimensions 1/3, a hallmark of the emergent SUSY. We further show some experimental signatures that may be measured to test such emergent SUSY in candidate systems.
 Authors:

 Tsinghua Univ., Beijing (China). Inst. for Advanced Study; Univ. of California, Berkeley, CA (United States). Dept. of Physics
 Stanford Univ., CA (United States). Dept. of Physics
 SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Inst. for Materials and Energy Sciences; TU Dresden (Germany). Inst. of Scientific Computing. Faculty of Mathematics
 Tsinghua Univ., Beijing (China). Inst. for Advanced Study. State Key Lab. of Low Dimensional Quantum Physics
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States); Tsinghua Univ., Beijing (China); TU Dresden (Germany)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES); Gordon and Betty Moore Foundation (United States); Ministry of Science and Technology (MOST) (China); National Natural Science Foundation of China (NNSFC); Alexander von Humboldt Foundation (Germany)
 OSTI Identifier:
 1490443
 Grant/Contract Number:
 AC0276SF00515; GBMF4302; 2016YFA0301001; 2018YFA0305604; 11474175
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Science Advances
 Additional Journal Information:
 Journal Volume: 4; Journal Issue: 11; Journal ID: ISSN 23752548
 Publisher:
 AAAS
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Li, ZiXiang, Vaezi, Abolhassan, Mendl, Christian B., and Yao, Hong. Numerical observation of emergent spacetime supersymmetry at quantum criticality. United States: N. p., 2018.
Web. doi:10.1126/sciadv.aau1463.
Li, ZiXiang, Vaezi, Abolhassan, Mendl, Christian B., & Yao, Hong. Numerical observation of emergent spacetime supersymmetry at quantum criticality. United States. doi:10.1126/sciadv.aau1463.
Li, ZiXiang, Vaezi, Abolhassan, Mendl, Christian B., and Yao, Hong. Fri .
"Numerical observation of emergent spacetime supersymmetry at quantum criticality". United States. doi:10.1126/sciadv.aau1463. https://www.osti.gov/servlets/purl/1490443.
@article{osti_1490443,
title = {Numerical observation of emergent spacetime supersymmetry at quantum criticality},
author = {Li, ZiXiang and Vaezi, Abolhassan and Mendl, Christian B. and Yao, Hong},
abstractNote = {No definitive evidence of spacetime supersymmetry (SUSY) that transmutes fermions into bosons and vice versa has been revealed in nature so far. Moreover, the question of whether spacetime SUSY in 2 + 1 and higher dimensions can emerge in generic lattice microscopic models remains open. Here, we introduce a lattice realization of a single Dirac fermion in 2 + 1 dimensions with attractive interactions that preserves both timereversal and chiral symmetries. By performing sign problem–free determinant quantum Monte Carlo simulations, we show that an interacting single Dirac fermion in 2 + 1 dimensions features a superconducting quantum critical point (QCP). We demonstrate that the N = 2 spacetime SUSY in 2 + 1 dimensions emerges at the superconducting QCP by showing that the fermions and bosons have identical anomalous dimensions 1/3, a hallmark of the emergent SUSY. We further show some experimental signatures that may be measured to test such emergent SUSY in candidate systems.},
doi = {10.1126/sciadv.aau1463},
journal = {Science Advances},
number = 11,
volume = 4,
place = {United States},
year = {2018},
month = {11}
}
Web of Science
Figures / Tables:
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Works referencing / citing this record:
Absence of emergent supersymmetry at superconducting quantum critical points in Dirac and Weyl semimetals
journal, July 2019
 Zhao, PengLu; Liu, GuoZhu
 npj Quantum Materials, Vol. 4, Issue 1
Absence of emergent supersymmetry at superconducting quantum critical points in Dirac and Weyl semimetals
journal, July 2019
 Zhao, PengLu; Liu, GuoZhu
 npj Quantum Materials, Vol. 4, Issue 1
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