One-dimensional two-component fermions with contact even-wave repulsion and SU(2) breaking near-resonant odd-wave attraction
arXiv:1812.08677 · doi:10.1103/PhysRevA.99.043631
Abstract
We consider a one-dimensional (1D) two-component atomic Fermi gas with contact interaction in the even-wave channel (Yang-Gaudin model) and study the effect of an SU(2) symmetry breaking near-resonant odd-wave interaction within one of the components. Starting from the microscopic Hamiltonian, we derive an effective field theory for the spin degrees of freedom using the bosonization technique. It is shown that at a critical value of the odd-wave interaction there is a first-order phase transition from a phase with zero total spin and zero magnetization to the spin-segregated phase where the magnetization locally differs from zero.
arXiv comment18 pages, 3 fugures; references added
References in corpus (36)
- Many-Body Physics with Ultracold Gases
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Resonantly-paired fermionic superfluids
- Tuning p-wave interactions in an ultracold Fermi gas of atoms
- Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
- Repulsive Fermi polarons in a resonant mixture of ultracold Li atoms
- Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
- Inhomogeneous phase formation on the border of itinerant ferromagnetism
- Itinerant Ferromagnetism in an Ultracold Atom Fermi Gas
- Competition between pairing and ferromagnetic instabilities in ultracold Fermi gases near Feshbach resonances
- Correlations and Pair Formation in a Repulsively Interacting Fermi Gas
- Exploring the ferromagnetic behaviour of a repulsive Fermi gas via spin dynamics
- Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance
- Ground-State Ferromagnetic Transition in Strongly Repulsive One-Dimensional Fermi Gases
- Repulsive Fermi gas in a harmonic trap: Ferromagnetism and spin textures
- Resonant Scattering of Ultracold Atoms in Low Dimensions
- Properties of the strongly paired fermionic condensates
- Collective ferromagnetism in two-component Fermi-degenerate gas trapped in finite potential
- Itinerant ferromagnetism in an atomic Fermi gas: Influence of population imbalance
- Correlated versus Ferromagnetic State in Repulsively Interacting Two-Component Fermi Gases
- Time-resolved observation of competing attractive and repulsive short-range correlations in strongly interacting Fermi gases
- A repulsive atomic gas in a harmonic trap on the border of itinerant ferromagnetism
- Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation
- Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems
- High-momentum distribution with subleading tail in the odd-wave interacting one-dimensional Fermi gases
- Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
- Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
- Itinerant Ferromagnetism in an Atom Trap
- Boson-Fermion Resonance Model in One Dimension
- One Dimensional Gas of Bosons with Feshbach Resonant Interactions
- Itinerant ferromagnetism in 1D two-component Fermi gases
- Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals
- One-dimensional model of chiral fermions with Feshbach resonant interactions