S. Eggert et al., BOUNDARY EFFECTS ON SPECTRAL PROPERTIES OF INTERACTING ELECTRONS IN ONE-DIMENSION, Physical review letters, 76(9), 1996, pp. 1505-1508
The single electron Green's function of the one-dimensional Tomonaga-L
uttinger model in the presence of open boundaries is calculated with b
osonization methods. We show that the critical exponents of the local
spectral density and of the momentum distribution change in the presen
ce of a boundary. The well understood universal bulk behavior always c
rosses over to a boundary dominated regime for small energies or small
momenta. We show this crossover explicitly for the large-ii Hubbard m
odel in the low-temperature limit. Consequences for photoemission expe
riments are discussed.