In my talk I will discuss the non-equilibrium physics of the strongly correlated
disordered one-dimensional electron system, described by the Luttinger liquid (LL)
model. I will outline the kinetic approach to this model and present the kinetic
equations for electron and plasmon distribution functions in the presence of
impurities. It happens that at not too low temperature and bias voltage, the
equilibration rate in this system is given by the elastic backscattering rate,
independent of the strength of electron-electron interaction, temperature, and bias.
In the second part of my talk I will discuss the tunneling into the non-equilibrium
state of the LL, which is created as the result of electron backscattering leading
to emission of non-equilibrium plasmons with typical frequency of the order of the
bias voltage eU. The tunneling rates into/from such state are split into two edges:
the edge exponent at the Fermi energy E_F is positive and is that of a bulk exponent
in the equilibrium LL, while the edge exponent at E_F-eU turns out to be negative
if Coulomb interaction is not too strong.
References:
[1] D. A. Bagrets, I. V. Gornyi, and D. G. Polyakov, Phys. Rev. B 80, 113403 (2009)
[2] S. Ngo Dinh, D.A. Bagrets, A.D. Mirlin, arXiv:0910.3917