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Transport properties of a Luttinger liquid in the presence of several time-dependent impurities | D. Makogon
; V. Juricic
; C. Morais Smith
; | Date: |
6 Jun 2006 | Subject: | Strongly Correlated Electrons | Abstract: | We study the transport properties of a Luttinger liquid in the presence of several time-dependent weak point-like impurities. Our starting point is the bosonized form of the Luttinger liquid Hamiltonian with a potential introduced by the impurities. We find the correction to the total current due to the backscattering of the electrons by the impurities in first order of perturbation theory for a general time-dependent impurity potential. We then apply this result to a single time-dependent impurity, and show that it reproduces the result obtained by Feldman and Gefen in Ref. [7], in particular that the current enhancement occurs only for strong repulsive electron-electron interactions. For the case of two impurities oscillating with the same frequency, we find a novel effect, namely, that the dc-component of the backscattering current is positive {it even for weak repulsive interactions}, due to the presence of the interference term induced by spatial correlations in the Luttinger liquid. We show that the impurity frequencies at which the enhancement takes place form a band-like structure. In the case of several impurities, the bands become broader, because of interference effects. | Source: | arXiv, cond-mat/0606148 | Services: | Forum | Review | PDF | Favorites |
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