Majorana fermions, supersymmetry and thermofield dynamics

Abstract

In this work we show the existence of supersymmetry and degeneracy for an arbitrary number of Majorana fermions (even or odd) without to invoke any symmetry of Hamiltonian. Next, we analyze the supersymmetry at finite temperature using the thermofield dynamics formalism. Furthermore we derive thermal braiding operators through the Bogoliubov transformations and we find its action on a thermal Bell state.

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• All Majorana Models with Translation Symmetry are Supersymmetric
• An anyon model in a toric honeycomb lattice
• The Simulation of Non-Abelian Statistics of Majorana Fermions in Ising Chain with Z2 Symmetry