Non-equilibrium Luttinger liquids: bosonization and tunneling spectroscopy

T. Fujisawa, Kazuhisa Washio, Ryo Nakazawa +3 more

孫允武

Dmitri B. Gutman, Yuval Gefen, A. D. Mirlin

Non-equilibrium bosonization technique facilitates the solution of a number of important many-body problems out of equilibrium, including the Fermiedge singularity, the tunneling spectroscopy and full counting statistics of interacting fermions forming a Luttinger liquid.We generalize the method to non-equilibrium hard-core bosons (Tonks-Girardeau gas) and establish interrelations between all these problems.The results can be expressed in terms of Fredholm determinants of the Toeplitz type.We analyze the long time asymptotics of such determinants, using Szegő and Fisher-Hartwig theorems.Our analysis yields dephasing rates as well as power-law scaling behavior, with exponents depending not only on the interaction strength but also on the non-equilibrium state of the system.

Serena Fazzini, Piotr Chudziński, Christoph Dauer +2 more

Dmitri B. Gutman, Yuval Gefen, A. D. Mirlin

We develop a theory of tunneling spectroscopy of interacting electrons in a nonequilibrium quantum wire coupled to reservoirs. The problem is modeled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The interaction leads to the renormalization of the tunneling density of states, as well as to the redistribution of electrons over energies. Energy relaxation is controlled by plasmon scattering at the boundaries between regions with different interaction strengths and affects the distribution function of electrons in the wire as well as that of electrons emitted from the interacting regions into noninteracting electrodes.

Akira Furusaki