title: Wilson ratio of fermi gases in one dimension.
abstract: We calculate the Wilson ratio of the one-dimensional Fermi gas with spin imbalance. The Wilson ratio of attractively interacting fermions is solely determined by the density stiffness and sound velocity of pairs and of excess fermions for the two-component Tomonaga-Luttinger liquid phase. The ratio exhibits anomalous enhancement at the two critical points due to the sudden change in the density of states. Despite a breakdown of the quasiparticle description in one dimension, two important features of the Fermi liquid are retained; namely, the specific heat is linearly proportional to temperature, whereas the susceptibility is independent of temperature. In contrast to the phenomenological Tomonaga-Luttinger liquid parameter, the Wilson ratio provides a powerful parameter for testing universal quantum liquids of interacting fermions in one, two, and three dimensions.
authors.affiliation: State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China and Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia.
authors.forename: X-W
authors.initials: XW
authors.lastname: Guan
authors.forename: X-G
authors.initials: XG
authors.lastname: Yin
authors.forename: A
authors.initials: A
authors.lastname: Foerster
authors.forename: M T
authors.initials: MT
authors.lastname: Batchelor
authors.forename: C-H
authors.initials: CH
authors.lastname: Lee
authors.forename: H-Q
authors.initials: HQ
authors.lastname: Lin