Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field

Abstract

With the organic compound $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$ in mind, we consider a spin liquid system where a spinon Fermi surface is coupled to a U(1) gauge field. Using the non-equilibrium Green's function formalism, we derive the Quantum Boltzmann Equation (QBE) for this system. In this system, however, one cannot a priori assume the existence of Landau quasiparticles. We show that even without this assumption one can still derive a linearized equation for a generalized distribution function. We show that the divergence of the effective mass and of the finite temperature self-energy do not enter these transport coefficients and thus they are well-defined. Moreover, using a variational method, we calculate the temperature dependence of the spin resistivity and thermal conductivity of this system.

12 pages

References in corpus (3)

• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Susceptibility of a spinon Fermi surface coupled to a U(1) gauge field

Cited by in corpus (23)

• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Quantum chaos on a critical Fermi surface
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4
• Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB${}_6$
• Survival of itinerant excitations and quantum spin state transitions in YbMgGaO${}_4$ with chemical disorder
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• Theory of shot noise in strange metals
• Metal-Insulator Transition with Charge Fractionalization
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Controlled calculation of the thermal conductivity for a spinon Fermi surface coupled to a $U(1)$ gauge field
• A Criterion for Strange Metallicity in the Lorenz Ratio
• Thermodynamics and heat transport of quantum spin liquid candidates NaYbS${}_2$ and NaYbSe${}_2$
• Collective density fluctuations of strange metals with critical Fermi surfaces
• Hydrodynamics of quantum spin liquids
• Extended strange metal regime from superconducting puddles
• Drag resistance mediated by quantum spin liquids
• Thermodynamic signatures of a fractionalized Fermi liquid
• Strong non-linear response of strange metals
• Theory of Linear Magnetoresistance in a Strange Metal
• Can electronic quantum criticality drive phonon-induced linear-in-temperature resistivity?