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A Luttinger Liquid in Box

Fabrizio Anfuso·Sebastian Eggert
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Abstract

We study a Luttinger Liquid in a finite one-dimensional wire with box-like boundary conditions by considering the local distribution of the single particle spectral weight. This corresponds to the experimental probability of extracting a single electron at a given place and energy, which can be interpreted as the square of an electron wave-function. For the non-interacting case, this is given by a standing wave at the Fermi wave-vector. In the presence of interactions, however, the wave-functions obtain additional structure with a sharp depletion near the edges and modulations throughout the wire. In the spinful case, these modulations correspond to the separate spin- and charge-like excitations in the system.

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Fabrizio Anfuso, Sebastian Eggert. 2003-03-01. A Luttinger Liquid in Box. https://doi.org/10.1103/physrevb.68.241301

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