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 the ϵ-expansion. We predict the exact voltage dependence of the differential conductance at the supersymmetric critical point.
Highlights
For the past forty years, supersymmetry has been studied intensively in high energy physics because of its attractive features, e.g. as a possible solution to the hierarchy problem[1]
There is so far no experimental evidence for our universe to be supersymmetric, there is some expectation that supersymmetry may be revealed in the large hadron collider (LHC) in a near future
Supersymmetry can dynamically emerge in the low energy limit of some condensed matter systems the microscopic Hamiltonians explicitly break it
Summary
For the past forty years, supersymmetry has been studied intensively in high energy physics because of its attractive features, e.g. as a possible solution to the hierarchy problem[1]. We consider a superconducting quantum critical point on the surface of a three dimensional topological insulator. It is likely that the critical point exhibits an emergent supersymmetry because there are the same number of propagating modes for boson and fermion which are strongly mixed with each other at low energies.
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