Robust quantum transport at particle-hole symmetry

Abstract

We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a random-phase representation of the invariant measure of the symmetry-group. We compute the resulting fermionic functional integral of the average two-particle Green's function in a perturbation theory around the diffusive limit. The results up to two-loop order show that the corrections vanish, indicating that the diffusive quantum transport is robust. On the other hand, the diffusion coefficient depends strongly on the particle-hole symmetric Hamiltonian we choose to study. This reveals a connection between the underlying microscopic theory and the classical long-scale metallic behaviour of these systems.

journal version

References in corpus (6)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• UV/IR Mixing In Non-Fermi Liquids: Higher-Loop Corrections In Different Energy Ranges
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Quantum transport with strong scattering: Beyond the nonlinear sigma model
• Renormalized transport properties of randomly gapped 2D Dirac fermions