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 confine d by open boundaries. The corresponding local spectral density is cons tructed 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-t emperature critical behavior in the bulk always crosses over to a boun dary dominated regime in the vicinity of the Fermi level. Thermal fluc tuations cause an enhanced depletion of spectral weight for small ener gies omega, with the spectral density scaling as omega(2) for omega mu ch less than the temperature. Consequences for photoemission experimen ts are discussed.