Electrical transport near quantum criticality in low dimensional organic superconductors

Abstract

We propose a theory of longitudinal resistivity in the normal phase of quasi-one-dimensional organic superconductors near the quantum critical point where antiferromagnetism borders with superconductivity under pressure. The linearized semi-classical Boltzmann equation is solved numerically, fed in by the half-filling electronic umklapp scattering vertex as derived from one-loop renormalization group calculations for the quasi-one-dimensional electron gas model. The momentum and temperature dependence of umklapp scattering has an important impact on the behaviour of longitudinal resistivity in the the normal phase. Resistivity is found to be linear in temperature around the quantum critical point at which spin-density-wave order joins superconductivity along the antinesting axis, to gradually evolve towards the Fermi liquid behaviour in the limit of weak superconductivity. A comparison is made between theory and experiments performed on the (TMTSF)${}_2$PF${}_6$ member of the Bechgaard salt series under pressure.

13 pages, 9 figures. Submitted to PRB

References in corpus (6)

• Strange metal without magnetic criticality
• Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors
• Extended quantum criticality of low-dimensional superconductors near a spin-density-wave instability
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• Superconductivity and antiferromagnetism as interfering orders in organic conductors
• A resistor model for quantum criticality: quasi one-dimensional organic conductors

Cited by in corpus (6)

• Transport anomalies and quantum criticality in electron-doped cuprate superconductors
• Quasi one-dimensional organic conductors: from Fröhlich conductivity and Peierls insulating state to magnetically-mediated superconductivity, a retrospective
• The Seebeck coefficient in correlated low dimensional organic metals
• Microscopic theory of a superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)${}_2$ClO${}_4$: Model derivation and two-particle self-consistent analysis
• Superconducting and density-wave instabilities of low dimensional conductors with a Zeeman coupling to a magnetic field
• Influence of carrier lifetime on quantum criticality and superconducting Tc of (TMTSF)_2ClO_4