期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2011/11/P11001
关键词
bosonization; Luttinger liquids (theory); quantum transport in one dimension; quantum transport
资金
- Alexander von Humboldt Foundation
- German-Israeli Foundation
- DFG Center for Functional Nanostructures
- Israel Science Foundation
We develop an operator-based approach to the problem of a Luttinger liquid conductor in a non-equilibrium stationary state. We show that the coherent-state many-body fermionic density matrix and all fermionic correlation functions out of equilibrium are given by one-dimensional functional determinants of the Fredholm type. Thus, the model constitutes a remarkable example of a many-body problem where all the correlation functions can be evaluated exactly. On the basis of the general formalism, we investigate four-point correlation functions of the fermions coming out of the Luttinger liquid wire. The correlations obtained among the fermionic distribution functions represent the combined effect of interaction and non-equilibrium conditions.
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