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arXiv · 2012.09910

Time-loops in Dirac materials, torsion and unconventional Supersymmetry

Alfredo Iorio·Pablo Pais
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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.

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Alfredo Iorio, Pablo Pais. 2020-12-17. Time-loops in Dirac materials, torsion and unconventional Supersymmetry. https://doi.org/10.22323/1.390.0669

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