Exact Green's functions and Bosonization of a Luttinger liquid coupled to impedances

Details Exact Green's functions and Bosonization of a Luttinger liquid coupled to impedances Exact Green's functions and Bosonization of a Luttinger liquid coupled to impedances

2007-09-04

arxiv.org/abs/0709.0475v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1143/PTP.118.377

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.

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