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

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

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 …