Non-linear sigma model with particle-hole asymmetry for the disordered two-dimensional electron gas

Abstract

The non-linear sigma model is a well-established theoretical tool for studies of transport and thermodynamics in disordered electronic systems. The conventional sigma model approach for interacting systems does not account for particle-hole asymmetry. It is therefore not suited for studying quantities that are sensitive to this effect such as the thermoelectric transport coefficient. Here, we derive a minimal extension of the Keldysh non-linear sigma model tailored for two-dimensional interacting systems. We argue that this model can be used to systematically study the combined effect of interactions and disorder on thermoelectric transport. As a first step in this direction, we use the model to analyze the structure of the heat density-density correlation function and calculate interaction corrections to its static part. The calculation of interaction corrections to the dynamical part of the correlation function and the thermodynamic transport coefficient is left for future work.

arXiv comment17 pages, 8 figures; corrected version with term $S_M$ [Eq. (19)] added to the action; corresponding Erratum submitted to PRB

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Cited by in corpus (6)

• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Quantum transport theory for unconventional magnets: Interplay of altermagnetism and p-wave magnetism with superconductivity
• Scale-dependent theory of the disordered electron liquid
• Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear $\sigma$ model
• Interaction corrections to the thermopower of the disordered two-dimensional electron gas
• Josephson anomalous vortices