Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes

TL;DR

This paper demonstrates that a chain of strongly interacting Majorana zero modes can exhibit a supersymmetric quantum critical point, linking topological phases with supersymmetry, verified through numerical simulations and experimental implications.

Contribution

It reveals a new supersymmetric critical point in a Majorana chain, connecting topological matter with supersymmetry, and provides numerical and experimental insights.

Findings

Identification of a supersymmetric quantum critical point at c=7/10

Verification via density-matrix-renormalization-group simulations

Predictions for tunnelling experiment signatures

Abstract

We show that a strongly interacting chain of Majorana zero modes exhibits a supersymmetric quantum critical point corresponding to the $c={7\over 10}$ tricritical Ising model, which separates a critical phase in the Ising universality class from a supersymmetric massive phase. We verify our predictions with numerical density-matrix-renormalization-group computations and determine the consequences for tunnelling experiments.