Kinetics of 1d electrons beyond the Luttinger liquid paradigm
Alex Levchenko (Michigan State University)

We will discuss violation of spin-charge separation in generic nonlinear Luttinger liquids and investigate its effect on the relaxation, thermal and electrical transport of genuine spin-1/2 electron liquids in ballistic quantum wires. We identify basic scattering processes compatible with the symmetry of the problem and conservation laws that lead to the decay of plasmons into the spin modes and also describe their backscattering. We derive a closed set of coupled kinetic equations for the spin-charge excitations and solve the problem of electrical and thermal conductance of interacting electrons for an arbitrary relation between the quantum wire length and spin-charge equilibration length.