Exact Green's Functions and Bosonization of a Luttinger Liquid Coupled to Impedances
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Publication:5447075
DOI10.1143/PTP.118.377zbMATH Open1135.82309arXiv0709.0475OpenAlexW3103929661MaRDI QIDQ5447075
Author name not available (Why is that?)
Publication date: 6 March 2008
Published in: (Search for Journal in Brave)
Abstract: The exact Green's functions of a finite-size Luttinger Liquid (LL) connected to impedances are computed at zero and finite temperature. Bosonization for a LL with Impedance boundary conditions (IBC) is proven to hold. The LL with open boundary conditions (for both Neumann and Dirichlet cases) is explicitly recovered as a special limit when one has infinite impedances. Additionally when the impedances are equal to the characteristic impedance of the Luttinger liquid then the finite Luttinger liquid is shown to be effectively equivalent to an infinite Luttinger liquid.
Full work available at URL: https://arxiv.org/abs/0709.0475
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