Emergence of supersymmetry on the surface of three dimensional topological insulators

TL;DR

This paper proposes experimental setups to realize 2+1D supersymmetry at a quantum critical point on the surface of 3D topological insulators, linking supersymmetric theories with condensed matter phenomena.

Contribution

It introduces two experimental realizations of supersymmetry at a surface quantum critical point in topological insulators, connecting supersymmetric conformal field theory with observable electronic properties.

Findings

Predicted exact voltage dependence of differential conductance at the critical point

Identified a supersymmetric conformal field theory describing the transition

Proposed experimental setups for observing supersymmetry in condensed matter

Abstract

We propose two possible experimental realizations of a 2+1 dimensional spacetime supersymmetry at a quantum critical point on the surface of three dimensional topological insulators. The quantum critical point between the semi-metallic state with one Dirac fermion and the s-wave superconducting state on the surface is described by a supersymmetric conformal field theory within $\epsilon$-expansion. We predict the exact voltage dependence of the differential conductance at the supersymmetric critical point.