Itinerant ferromagnetism in the repulsive Hubbard chain with anisotropic odd-wave attraction
arXiv:2008.04588 · doi:10.1103/PhysRevA.102.053301
Abstract
The ground-state properties of the Hubbard chain with on-site repulsion and anisotropic nearest-neighbor attraction are investigated by means of density matrix renormalization group calculations. The non-local attraction acts between fermions of one spin component only, mimicking the effect of p-wave Feshbach resonances in cold-atom systems. We analyze the onset of itinerant ferromagnetism, pinpointing the critical attraction strength where partially and fully ferromagnetic states occur. In the cold-atom setup, where the two (pseudo) spin populations are separately conserved, ferromagnetism occurs with the nucleation of a fully imbalanced band-insulating domain hosting the attractive component only. The size of this domain grows with the attraction strength, therefore increasing the (opposite) imbalance of the other domain, until the two spin components are fully separated. In the presence of a harmonic trap, the ferromagnetic state hosts a partially imbalanced domain in the center with an excess of the attractive component and filling lower than one. This central region is surrounded by fully imbalanced domains, located in the trap tails, hosting only fermions belonging to the other component.
8 pages, 7 figures
References in corpus (10)
- The density-matrix renormalization group in the age of matrix product states
- Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
- Homogeneous Atomic Fermi Gases
- Matrix Product State applications for the ALPS project
- Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
- The itinerant ferromagnetic phase of the Hubbard model
- Zero-Temperature Equation of State and Phase Diagram of Repulsive Fermionic Mixtures
- Coupled Ferromagnetic and Nematic Ordering of Fermions in an Optical Flux Lattice
- One-dimensional Repulsive Fermi Gas in a Tunable Periodic Potential
- One-dimensional two-component fermions with contact even-wave repulsion and SU(2) breaking near-resonant odd-wave attraction