Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U(1)$ gauge field

Hermann Freire

doi:10.1016/j.aop.2014.07.002

paper

Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U (1)$ gauge field

arXiv:1404.0679 · doi:10.1016/j.aop.2014.07.002

Abstract

Motivated by recent transport measurements on the candidate spin-liquid phase of the organic triangular lattice insulator EtMe $_{3}$ Sb[Pd(dmit) $_{2}$ ] $_{2}$ , we perform a controlled calculation of the thermal conductivity at intermediate temperatures in a spin liquid system where a spinon Fermi surface is coupled to a $U (1)$ gauge field. The present computation builds upon the double expansion approach developed by Mross \emph{et al.} [Phys. Rev. B \textbf{82}, 045121 (2010)] for small $ε = z_{b} - 2$ (where $z_{b}$ is the dynamical critical exponent of the gauge field) and large number of fermionic species $N$ . Using the so-called memory matrix formalism that most crucially does not assume the existence of well-defined quasiparticles at low energies in the system, we calculate the temperature dependence of the thermal conductivity $κ$ of this model due to non-critical Umklapp scattering of the spinons for a finite $N$ and small $ε$ . Then we discuss the physical implications of such theoretical result in connection with the experimental data available in the literature.

7 pages, 2 figures. Published version

Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U (1)$ gauge field

Abstract

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Cited by in corpus (8)

Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a U(1) gauge field

Abstract

References in corpus (9)

Cited by in corpus (8)

Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U (1)$ gauge field