title: One-dimensional quantum liquids with power-law interactions: the Luttinger staircase.
abstract: We study one-dimensional fermionic and bosonic gases with repulsive power-law interactions 1/|x|(β), with β>1, in the framework of Tomonaga-Luttinger liquid (TLL) theory. We obtain an accurate analytical expression linking the TLL parameter to the microscopic Hamiltonian, for arbitrary β and strength of the interactions. In the presence of a small periodic potential, power-law interactions make the TLL unstable towards the formation of a cascade of lattice solids with fractional filling, a "Luttinger staircase." Several of these quantum phases and phase transitions are realized with ground state polar molecules and weakly bound magnetic Feshbach molecules.
authors.affiliation: Dipartimento di Fisica dell'Università di Bologna and INFN, via Irnerio 46, 40127 Bologna, Italy.
authors.forename: M
authors.initials: M
authors.lastname: Dalmonte
authors.forename: G
authors.initials: G
authors.lastname: Pupillo
authors.forename: P
authors.initials: P
authors.lastname: Zoller