Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes

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.

5 pages, 4 figures, 4 pages of supplemental material (to appear in PRL)