iPEPS studies of emergent supersymmetry at the pair density wave transitions of Dirac fermions in 2+1D

ORAL

Abstract

We study the quantum phase transition between the Dirac semimetal and pairing density wave (PDW) phase of the spinless honeycomb model with nearest neighbor attractions by doing fermionic projected entangled pairing state (PEPS) algorithm for infinite lattices. It was recently shown by renormalization group (RG) analysis that space-time supersymmetry (SUSY) emerges in Dirac fermions at their PDW transition\footnote{Shao-Kai Jian, Yi-Fan Jiang, and Hong Yao, arXiv:1407.4497}. The connection of our present PEPS studies with the emergent space-time SUSY at the PDW transition shown by RG will be discussed.

Authors

  • Yifan Jiang

    • Institute for Advanced Study, Tsinghua University, Beijing, 100084, China
    • Institute for Advanced Study, Tsinghua University
    • Tsinghua Univ
  • Jiquan Pei

    • Tsinghua Univ
  • Shaokai Jian

    • Tsinghua Univ
  • Hong Yao

    • Tsinghua Univ