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

Ann E. Mattsson·Sebastian Eggert·Henrik Johannesson
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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 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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Ann E. Mattsson, Sebastian Eggert, Henrik Johannesson. 1997-11-20. Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size. https://doi.org/10.1103/physrevb.56.15615

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