1307.0760 (O. Tsyplyatyev et al.)

Luttinger parameters of interacting fermions in 1D at high energies    [PDF]

O. Tsyplyatyev, A. J. Schofield

Interactions between electrons in one-dimension are fully described at low energies by only a few parameters of the Tomonaga-Luttinger model which is based on linearisation of the spectrum. We consider a model of spinless fermions with a short range interaction via the Bethe-Ansatz technique and show that a Luttinger parameter emerges in an observable beyond the low energy limit. A distinct feature of the spectral function, the edge that marks the lowest possible excitation energy for a given momentum, is parabolic for arbitrary momenta and the prefactor is a function of the Luttinger parameter, K.

View original: http://arxiv.org/abs/1307.0760