Time-loops in Dirac materials, torsion and unconventional Supersymmetry

TL;DR

This paper explores how dislocations in 2D Dirac materials can be modeled using torsion and proposes that exotic time-loops enable this description, potentially leading to observable particle-antiparticle flows and insights into unconventional supersymmetry.

Contribution

It introduces a novel approach to describe dislocations in Dirac materials via torsion and demonstrates how exotic time-loops facilitate this, linking condensed matter physics with supersymmetry concepts.

Findings

Dislocations induce a torsion term in Dirac materials.

Exotic time-loops enable nonzero torsion in 2D settings.

Possible experimental detection of particle-antiparticle flows.

Abstract

We propose a scenario where the effects of dislocations, in bidimensional Dirac materials at low energies, can be described within a Dirac field theory by a vertex proportional to the totally antisymmetric component of the torsion generated by such dislocations. The well-known geometrical obstruction to have a nonzero torsion term of that kind in this two-dimensional settings is overcome through exotic time-loops, obtained from ingeniously manipulated particle-hole dynamics. If such torsion/dislocation is indeed present, a net flow of particles-antiparticles (holes) can be inferred and possibly measured. Finally, we comment on how these discoveries pave the way to a laboratory realization on Dirac materials of Unconventional Supersymmetry, as a top-down description of the $\pi$-electrons in backgrounds with a nonzero torsion.