The Seebeck coefficient in correlated low dimensional organic metals

Abstract

We study the influence of inelastic electron-electron scattering on the temperature variation of the Seebeck coefficient in the normal phase of quasi-one-dimensional organic superconductors. The theory is based on the numerical solution of the semi-classical Boltzmann equation for which the collision integral equation is solved with the aid of the electronic umklapp scattering vertex calculated by the renormalization group method. We show that the one-loop renormalization group flow of momentum and temperature dependent umklapp scattering, in the presence of nesting alterations of the Fermi surface, introduce electron-hole asymmetry in the energy dependence of the anisotropic scattering time. This is responsible for the enhancement of the Seebeck coefficient with respect to the band $T$-linear prediction and even its sign reversal around the quantum critical point of the phase diagram, namely where the interplay between antiferromagnetism and superconductivity along with the strength of spin fluctuations are the strongest. Comparison of the results with available data on low dimensional organic superconductors is presented and critically discussed.

arXiv comment12 pages, 8 figures. Submitted to PRB

References in corpus (25)

• Scattering and Pairing in Cuprate Superconductors
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Mott transition in one dimension
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Fermi-surface reconstruction by stripe order in cuprate superconductors
• Charge gap in the one--dimensional dimerized Hubbard model at quarter-filling
• Thermoelectric Behaviour Near Magnetic Quantum Critical Point
• Interplay between spin-density-wave and superconducting states in quasi-one-dimensional conductors
• Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors
• The thermopower as a signature of quantum criticality in heavy fermions
• Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors
• Evidence for a quantum phase transition in electron-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ from Thermopower measurements
• Signatures of quantum criticality in the thermopower of Ba(Fe(1-x)Co(x))2As2
• Entropy, frustration and large thermopower of doped Mott insulators on the fcc lattice
• Thermoelectric transport across the metamagnetic transition of CeRu2Si2
• 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
• Linear-T scattering and pairing from antiferromagnetic fluctuations in the (TMTSF)_2X organic superconductors
• Colossal Seebeck coefficient of hopping electrons in (TMTSF)${}_2$PF${}_6$
• Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
• Superconductivity and antiferromagnetism as interfering orders in organic conductors
• On the Origin of the Anomalous Upper Critical Field in Quasi-One-Dimensional Superconductors
• Electrical transport near quantum criticality in low dimensional organic superconductors
• Scaling behavior of temperature-dependent thermopower in CeAu2Si2 under pressure
• Thermal Transport Properties of Bechgaard Salts (TMTSF)2PF6 and (TMTSF)2ClO4: Implication of Spin-Charge Separation

Cited by in corpus (9)

• Seebeck coefficient in a cuprate superconductor: particle-hole asymmetry in the strange metal phase and Fermi surface transformation in the pseudogap phase
• Magneto-Seebeck coefficient and Nernst coefficient of hot and dense hadron gas
• Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Seebeck effect in a thermal QCD medium in the presence of strong magnetic field
• Thermoelectric response of a weakly magnetized thermal QCD medium
• 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
• Seebeck coefficient in low-dimensional fluctuating charge-density-wave systems