Large Thermoelectric Effects in Unconventional Superconductors

Abstract

We present analytic and numerical results for the thermoelectric effect in unconventional superconductors with a dilute random distribution of impurities, each scattering isotropically but with a phase shift intermediate between the Born and unitary limits. The thermoelectric response function has a linear temperature dependence at low temperatures, with a slope that depends on the impurity concentration and phase shift. Although the thermoelectric effect vanishes identically in the strict Born and unitary limits, even a small deviation of the phase shift from these limits leads to a large response, especially in clean systems. We also discuss possibilities of measuring counter-flowing supercurrents in a SQUID-setup. The non-quantized thermoelectrically induced flux can easily be of the order of a percent of the flux quantum in clean systems at 4He temperatures.

9 pages, 7 figures

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• Unconventional superconductors under rotating magnetic field II: thermal transport
• Theory of a large thermoeffect in superconductors doped with magnetic impurities
• Spin caloritronics with superconductors: Enhanced thermoelectric effects, generalized Onsager response-matrix, and thermal spin currents
• Electron-hole imbalance and large thermoelectric effect in superconducting hybrids with spin-active interfaces
• Unconventional thermoelectric effect in superconductors that break time-reversal symmetry
• Enhancement of thermoelectric effect in diffusive superconducting bilayers with magnetic interfaces
• Low-Temperature Thermal Conductivity of Superconductors With Gap Nodes
• Thermopower and thermophase in a $d$-wave superconductor
• Phase-coherent thermoelectricity in superconducting hybrids (Brief Review)
• Giant thermopower in superconducting heterostructures with spin-active interfaces
• Phase-dependent charge and heat current in thermally biased short Josephson junctions formed at helical edge states
• Anomalous Hall Effects in Chiral Superconductors
• Impurity strength-temperature phase diagram with phase crystals and competing time-reversal symmetry breaking states in nodal $d$-wave superconductors
• Self-consistent theory of current injection into $d$ and $d+is$ superconductors