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Properties of a Luttinger liquid with boundaries at finite temperature and size

1997/11/20 by Ann E. Mattsson, Sebastian Eggert, Henrik Johannesson · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.56.15615

published as Phys. Rev. B56, p.15615 (1997). · 18 pages in revtex format including 5 embedded figures (using epsf). The latest complete postscript file is available from http://fy.chalmers.se/~eggert/papers/longlutt.ps or by request from [email protected]. To appear in Phys. Rev. B (Dec. 1997)

arxiv created 1997/11/20 · openalex publication_date 1997/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use bosonization methods to calculate the exact finite-temperature single-electron Green's function of a spinful Luttinger liquid confined by open boundaries. The corresponding local spectral density is constructed and analyzed in detail. The interplay between boundary, finite-size, and thermal effects are shown to dramatically influence the low-energy properties of the system. In particular, the well-known zero-temperature critical behavior in the bulk always crosses over to a boundary dominated regime in the vicinity of the Fermi level. Thermal fluctuations cause an enhanced depletion of spectral weight for small energies \ensuremathω, with the spectral density scaling as \ensuremathω2 for \ensuremathω much less than the temperature. Consequences for photoemission experiments are discussed.

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