Ground-state properties of dilute spinless fermions in fractional dimensions

Abstract

We analyze zero-temperature universal properties of the simplest Galilean-invariant model of spinless low-dimensional fermions with short-range two-body interactions. In particular, it is shown that after proper renormalization of the coupling constant, even the dilute system possesses rich phase diagram that includes the superfluid state and the metastable `upper branch' behavior.

5+epsilon pages, 5 figures, comments (criticism) are welcome

References in corpus (8)

• Resonantly-paired fermionic superfluids
• The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
• Confinement-induced p-wave resonances from s-wave interactions
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Discretized vs. continuous models of p-wave interacting fermions in 1D
• Many-body properties of quasi-one dimensional Boson gas across a narrow CIR

Cited by in corpus (6)

• Stability against three-body clustering in one-dimensional spinless p-wave fermions
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Duality between weak and strong interactions in quantum gases
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Efimov-like physics in fraction-dimensional Bose systems with three-body interaction