Emergent space-time supersymmetry at disorder quantum critical point

Abstract

We study the effect of disorder on the spacetime supersymmetry that is proposed to emerge at the quantum critical point of pair density wave transition in (2+1)D Dirac semimetals and (3+1)D Weyl semimetals. In the (2+1)D Dirac semimetal, we consider three types of disorder, including random scalar potential, random vector potential and random mass potential, while the random mass disorder is absent in the (3+1)D Weyl semimetal. Via a systematic renormalization group analysis, we find that any type of weak random disorder is irrelevant due to the couplings between the disorder potential and the Yukawa vertex. The emergent supersymmetry is thus stable for weak random potentials. Our work will pave the way for exploration supersymmetry in realistic condensed matter systems.

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Cited by in corpus (7)

• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Quantum phase transition and critical behavior between the gapless topological phases
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators
• Instanton-Induced Supersymmetry Breaking in Topological Semimetals