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2020 IPS Conference
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Thermal transport in dispersive luttinger liquids
Rickmoy Samanta , Dmitri Gutman , Ivan Protopopov , Alexander Mirlin
Bar Ilan University, Israel
Karlsruhe Inst. of Technology, Germany
University of Geneva, Switzerland
We present computation of thermal conductivity in one dimensional dispersive luttinger liquids
in the framework of kinetic theory. The decay rates for the bosonic or fermionic excitations of the
system are predicted from a diagonal approximation of the full collision integral operator. Analytical
and numerical support for this approximation is provided. Using these decay rates, we compute the
thermal conductivity in different regimes controlled by the frequency and temperature. At the lowest
frequencies, we observe connections to KPZ exponent that arise in dynamical RG of
one dimensional hydrodynamics.