Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size

Details Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size

1997-11-20

arxiv.org/abs/cond-mat/9711204v1

Phys. Rev. B56, p.15615 (1997).

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages in revtex format including 5 embedded figures (using epsf). The latest complete postscript file is available from h

Scientific paper

10.1103/PhysRevB.56.15615

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 E, with the spectral density scaling as E^2 for E much less than the temperature. Consequences for photoemission experiments are discussed.

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