Non-local order in a fermionic chain with extended correlated hopping

Non-local order in a fermionic chain with extended correlated hopping

Seminar author:Julia Stasińska

Event date and time:11/19/2015 02:30:pm

Event location:(Sala de Graus II to be confirmed)

Event contact:julia.stasinska@icfo.es

I will discuss a non-standard Hubbard model with next-nearest-neighbour correlated hopping which describes ultracold fermions in a one-dimensional, spin-dependent, optical lattice. We provide an exact non-trivial, solution to this many-body model, which is independent of known exact solutions in 1-d systems. The solution reveals the general properties of this system for arbitrary filling: exact and asymmetric spin-charge separation, a gapless spectrum of lowest energy excitations, a spin-gap and a non-vanishing string correlator, which signals the presence of the non-local order. Numerical studies away from the integrable point show the persistence of both long range string order and spin-gap.