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Dislocations and torsion in graphene and related systems

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arxiv 0909.4068 v1 pith:JNPV7YJD submitted 2009-09-22 cond-mat.mes-hall gr-qc

Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano This is my paper · ORCID
classification cond-mat.mes-hallgr-qc
keywords dislocationssystemscouplegraphenemodeltorsionanalyzedapplied
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A continuum model to study the influence of dislocations on the electronic properties of condensed matter systems is described and analyzed. The model is based on a geometrical formalism that associates a density of dislocations with the torsion tensor and uses the technique of quantum field theory in curved space. When applied to two-dimensional systems with Dirac points like graphene we find that dislocations couple in the form of vector gauge fields similar to these arising from curvature or elastic strain. We also describe the ways to couple dislocations to normal metals with a Fermi surface.

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  1. The role of torsion in holographic conductivity

    hep-th 2025-01 conditional novelty 6.0 of 10

    Holographic conductivity computed in a torsionful Riemann-Cartan bulk shows a Drude peak and metal-insulator crossover when the photon couples non-minimally to torsion, with σ_DC = √μ + 3γ²δ²/√μ.

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