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Title: 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 time-reversal 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:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
+ Show Author Affiliations
  1. Tsinghua Univ., Beijing (China). Inst. for Advanced Study; Univ. of California, Berkeley, CA (United States). Dept. of Physics
  2. Stanford Univ., CA (United States). Dept. of Physics
  3. 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
  4. Tsinghua Univ., Beijing (China). Inst. for Advanced Study. State Key Lab. of Low Dimensional Quantum Physics
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States); Tsinghua Univ., Beijing (China); Technische Universität 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 (NSFC); Alexander von Humboldt Foundation (Germany)
OSTI Identifier:
1490443
Grant/Contract Number:  
AC02-76SF00515; GBMF4302; 2016YFA0301001; 2018YFA0305604; 11474175
Resource Type:
Accepted Manuscript
Journal Name:
Science Advances
Additional Journal Information:
Journal Volume: 4; Journal Issue: 11; Journal ID: ISSN 2375-2548
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Li, Zi-Xiang, 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.
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Li, Zi-Xiang, Vaezi, Abolhassan, Mendl, Christian B., & Yao, Hong. Numerical observation of emergent spacetime supersymmetry at quantum criticality. United States. https://doi.org/10.1126/sciadv.aau1463
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Li, Zi-Xiang, Vaezi, Abolhassan, Mendl, Christian B., and Yao, Hong. Fri . "Numerical observation of emergent spacetime supersymmetry at quantum criticality". United States. https://doi.org/10.1126/sciadv.aau1463. https://www.osti.gov/servlets/purl/1490443.
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@article{osti_1490443,
title = {Numerical observation of emergent spacetime supersymmetry at quantum criticality},
author = {Li, Zi-Xiang 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 time-reversal 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 = {Fri Nov 02 00:00:00 EDT 2018},
month = {Fri Nov 02 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1126/sciadv.aau1463
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Citation Metrics:
Cited by: 21 works
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Figures / Tables:

Fig. 1 Fig. 1: Fig. 1. The phase diagram of a single-flavor Dirac fermion with interactions. From sign problem–free start-of-the-art QMC simulations, we show that the N = 2 spacetime SUSY emerges at the SC QCP. The QMC calculation is performed at zero temperature, and the phase diagram at finite temperature ismore » schematic.« less
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Works referenced in this record:

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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

    Searching for supersymmetry and its avatars
    journal, November 2019

    • Ellis, John
    • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2161
    • DOI: 10.1098/rsta.2019.0069

    Calculating ground-state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches
    journal, August 2019

    Supersymmetry in an interacting Majorana model on the kagome lattice
    journal, November 2019

    Quantum Monte Carlo Simulation of the Chiral Heisenberg Gross-Neveu-Yukawa Phase Transition with a Single Dirac Cone
    journal, September 2019

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