Interacting random Dirac fermions in superconducting cuprates

Abstract

We study the effects of quasiparticle interactions on disorder-induced localization of Dirac-like nodal excitations in superconducting high-$T_c$ cuprates. As suggested by the experimental ARPES and terahertz conductivity data in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$, we focus on the interactions mediated by the order parameter fluctuations near an incipient second pairing transition $d\to d+is$. We find interaction corrections to the density of states, specific heat, and conductivity as well as phase and energy relaxation rates and assess the applicability of the recent localization scenarios for non-interacting random Dirac fermions to the cuprates.

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• Disordered d-wave superconductors with interactions
• Effects of an electronic topological transition for anisotropic low-dimensional superconductors
• Quasiparticle conductivities in disordered d-wave superconductors
• Quantum critical fluctuations in disordered d-wave superconductors
• Quasi-particle dephasing time in disordered d-wave superconductors
• Quasiparticle Delocalization Induced by Novel Quantum Interference in Disordered d-Wave Superconductors
• Unitary limit and quantum interference effect in disordered two-dimensional crystals with nearly half-filled bands