Title: Numerical observation of emergent spacetime supersymmetry at quantum criticality

Journal Article · · Science Advances
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  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
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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.

Research Organization:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States); TU Dresden (Germany); Tsinghua Univ., Beijing (China)
Sponsoring Organization:
Alexander von Humboldt Foundation (Germany); Gordon and Betty Moore Foundation (United States); Ministry of Science and Technology (MOST) (China); National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1490443
Journal Information:
Science Advances, Journal Name: Science Advances Journal Issue: 11 Vol. 4; ISSN 2375-2548
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (7)

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
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
Absence of emergent supersymmetry at superconducting quantum critical points in Dirac and Weyl semimetals text January 2017
Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches text January 2019

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