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Dynamical symmetry breaking in a 2D electron gas with a spectral node

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  • Klaus Ziegler

Abstract

We study a disordered 2D electron gas with a spectral node in a vicinity of the node. After identifying the fundamental dynamical symmetries of this system, the spontaneous breaking of the latter by a Grassmann field is studied within a nonlinear sigma model approach. This allows us to reduce the average two-particle Green’s function to a diffusion propagator with a random diffusion coefficient. The latter has non-degenerate saddle points and is treated by the conventional self-consistent Born approximation. This leads to a renormalized chemical potential and a renormalized diffusion coefficient, where the DC conductivity increases linearly with the density of quasiparticles. Applied to the special case of Dirac fermions, our approach provides a comprehensive description of the minimal conductivity at the Dirac node as well as for the V-shape conductivity inside the bands. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Klaus Ziegler, 2013. "Dynamical symmetry breaking in a 2D electron gas with a spectral node," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(9), pages 1-9, September.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:9:p:1-9:10.1140/epjb/e2013-40482-7
    DOI: 10.1140/epjb/e2013-40482-7
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    Mesoscopic and Nanoscale Systems;

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