Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session Y44: Quantum Phase Transitions
11:15 AM–1:39 PM,
Friday, March 9, 2018
LACC Room: 504
Sponsoring Unit: DCMP
Chair: Dietrich Belitz, Univ of Oregon
Abstract: Y44.00007 : Emergent Spacetime Supersymmetry at the Superconducting Critical Point of a Single Dirac Cone
12:27 PM–12:39 PM
It has been theoretically argued that SUSY can also spontaneously emerge in certain condensed matter systems, e.g., near the superconducting quantum critical point (QCP) of an interacting single-flavored Dirac fermion in 2+1 dimensional systems. However, whether this fascinating N=2 SUSY can emerge in microscopic lattice models in 2+1 dimensions remain unknown so far. Here, we introduce a lattice realization of a single Dirac fermion with onsite attractive Hubbard interactions that preserves both time reversal and chiral symmetries. By performing the state-of-the-art sign-problem-free quantum Monte Carlo (QMC) simulations, we show that the interacting single Dirac fermion in 2+1 dimensions features a superconducting quantum phase transition. More remarkably, we demonstrate that the N=2 space-time SUSY in 2+1D emerges at the superconducting QCP by showing that the fermions and bosons have identical anomalous dimensions 1/3 as well as various other hallmarks of emergent SUSY. To the best of our knowledge, this is the first numerical observation of emergent space-time SUSY in 2+1D systems .
 Zi-Xiang Li, Abolhassan Vaezi, Christian Mendl, and Hong Yao, to appear soon.
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