Time-loops to spot torsion on bidimensional Dirac materials with dislocations

TL;DR

This paper explores how time-loops and torsion could be used to detect dislocations in two-dimensional Dirac materials by analyzing their nonlinear response to oscillating particle-hole pairs.

Contribution

It introduces a novel theoretical framework linking time-loops and torsion to dislocation detection in 2D Dirac materials, a previously unexplored aspect.

Findings

Proposes a scenario involving time-loops and torsion in Dirac materials.

Identifies that effects are observable only in nonlinear response regimes.

Suggests oscillating particle-hole pairs can realize time-loops.

Abstract

Assuming that, with some care, dislocations could be meaningfully described by torsion, we propose here a scenario based on a previously unexplored role of time in the low-energy Dirac field theory description of two-space-dimensional Dirac materials. Our approach is based on the realization of an exotic time-loop that could be realized by oscillating particle-hole pairs, overcoming the well-known geometrical obstructions due to the lack of a third spatial dimension. General symmetry considerations allow concluding that the effects we are looking for can only be seen if we move to the nonlinear response regime.