Tunneling into Nonequilibrium Luttinger Liquid with Impurity

Details Tunneling into Nonequilibrium Luttinger Liquid with Impurity Tunneling into Nonequilibrium Luttinger Liquid with Impurity

2009-10-20

arxiv.org/abs/0910.3917v1

Phys. Rev. B 81, 081306 (R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 5 figures

Scientific paper

We evaluate tunneling rates into/from a voltage biased quantum wire containing weak backscattering defect. Interacting electrons in such a wire form a true nonequilibrium state of the Luttinger liquid (LL). This state is created due to inelastic electron backscattering leading to the emission of nonequilibrium plasmons with typical frequency $\hbar \omega \leq U$. The tunneling rates are split into two edges. The tunneling exponent at the Fermi edge is positive and equals that of the equilibrium LL, while the exponent at the side edge $E_F-U$ is negative if Coulomb interaction is not too strong.

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