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Scattering on a localized defect in a weakly interacting one-dimensional electron gas

К. А. Матвеев, Dongxiao Yue, L. I. Glazman

Physica B Condensed MatterFeb 1, 19940 citations

Gap renormalization in the one-dimensional electron gas with backward scattering

P. Schlottmann

Springer eBooksApr 6, 20080 citations

Tunneling in one-dimensional non-Luttinger electron liquid

К. А. Матвеев, Dongxiao Yue, L. I. Glazman

The conductance of a weakly interacting electron gas in the presence of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the standard bosonization procedure. Our technique allows us to take into account the backscattering of electrons that leads to deviations of the low-temperature conductance from the behavior typical for Luttinger liquid. In the presence of magnetic field, the backscattering may give rise to a peak in differential conductance at bias equal to the Zeeman energy.The conductance of a weakly interacting electron gas in the presence of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the standard bosonization procedure. Our technique allows us to take into account the backscattering of electrons that leads to deviations of the low-temperature conductance from the behavior typical for Luttinger liquid. In the presence of magnetic field, the backscattering may give rise to a peak in differential conductance at bias equal to the Zeeman energy.

arXiv:cond-mat/9306041Physical Review LettersNov 15, 1993219 citations

Renormalization-group study of a magnetic impurity in a Luttinger liquid

A. Schiller, Kevin Ingersent

A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive bulk interactions become stronger, but the Kondo scale for the quenching of the impurity moment varies non-monotonically. There also exist two regimes dominated by backward potential scattering: one in which the impurity is non-magnetic, and another in which an unquenched local moment survives down to very low temperatures.A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive bulk interactions become stronger, but the Kondo scale for the quenching of the impurity moment varies non-monotonically. There also exist two regimes dominated by backward potential scattering: one in which the impurity is non-magnetic, and another in which an unquenched local moment survives down to very low temperatures.

arXiv:cond-mat/9609159Europhysics Letters (EPL)Sep 15, 199712 citations

Dynamical correlations in the one-dimensional electron gas with short-range interactions

Ekrem Demirel, B. Tanatar

The European Physical Journal BOct 1, 19997 citations

Conduction of a weakly interacting one-dimensional electron gas through a single barrier

Dongxiao Yue, L. I. Glazman, К. А. Матвеев

Scattering from a localized potential of arbitrary strength is found for weakly interacting electrons. Poor man's renormalization group procedure allows us to calculate the renormalized transmission amplitudes at any energies. Simple formulas that describe the conductance at any temperature are derived. In the presence of the electron-electron backscattering, the low-temperature conductance deviates from the results of Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magnetic field, backscattering gives rise to a peak in the differential conductance at bias equal to the Zeeman splitting.Scattering from a localized potential of arbitrary strength is found for weakly interacting electrons. Poor man's renormalization group procedure allows us to calculate the renormalized transmission amplitudes at any energies. Simple formulas that describe the conductance at any temperature are derived. In the presence of the electron-electron backscattering, the low-temperature conductance deviates from the results of Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magnetic field, backscattering gives rise to a peak in the differential conductance at bias equal to the Zeeman splitting.

Physical review. B, Condensed matterJan 15, 1994181 citations

Renormalization of potential scattering in a weakly interacting one-dimensional electron gas

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