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 nonlocal 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.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 nonlocal 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.

arXiv:2008.04588Physical Review ANov 3, 20203 citations

Emergence of $η$ -pairing ground-state in population-imbalanced attractive Fermi-gases filling $p$ orbitals on 1-D optical latticeEmergence of $η$-pairing ground-state in population-imbalanced attractive Fermi-gases filling $p$ orbitals on 1-D optical lattice

Keita Kobayashi, Yukihiro Ota, Masahiko Okumura +2 more

We explore the ground states in population-imbalanced attractive 1-D fermionic optical lattice filling $p$ orbitals over the lowest $s$ one by using the density-matrix-renormalization-group (DMRG) method. The DMRG calculations find the occurrence of spatially non-uniform off-diagonal long-range order. In contrast to Fulde-Ferrel Larkin-Ovchinikov pair as observed in the single-band Hubbard model. The spatial oscillation period of the pair correlation function is widely fixed to be $π$ irrespective of the mismatch between spin-split Fermi surfaces. The ground-state $π$ order corresponds to $η$ -pair condensate predicted by Yang [Phys. Rev. Lett. \textbf{63}, 2144 (1989)]. Taking account of the effects of harmonic traps, we confirm that the $η$ -pair state distinctly emerges at the center of the trap potential surrounded by perfectly-polarized states even in the trapped cases.We explore the ground states in population-imbalanced attractive 1-D fermionic optical lattice filling $p$ orbitals over the lowest $s$ one by using the density-matrix-renormalization-group (DMRG) method. The DMRG calculations find the occurrence of spatially non-uniform off-diagonal long-range order. In contrast to Fulde-Ferrel Larkin-Ovchinikov pair as observed in the single-band Hubbard model. The spatial oscillation period of the pair correlation function is widely fixed to be $π$ irrespective of the mismatch between spin-split Fermi surfaces. The ground-state $π$ order corresponds to $η$-pair condensate predicted by Yang [Phys. Rev. Lett. \textbf{63}, 2144 (1989)]. Taking account of the effects of harmonic traps, we confirm that the $η$-pair state distinctly emerges at the center of the trap potential surrounded by perfectly-polarized states even in the trapped cases.

arXiv:1611.06422Nov 19, 20160 citations

Spin-Orbit Coupled Fermions in Harmonic Trap

Dog̃a Murat Kürkçüog̃lu

Bulletin of the American Physical SocietyMar 16, 20160 citations

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.

Emergence of

η

-pairing ground-state in population-imbalanced attractive Fermi-gases filling

p

orbitals on 1-D optical lattice

We explore the ground states in population-imbalanced attractive 1-D fermionic optical lattice filling

p

orbitals over the lowest

s

one by using the density-matrix-renormalization-group (DMRG) method. The DMRG calculations find the occurrence of spatially non-uniform off-diagonal long-range order. In contrast to Fulde-Ferrel Larkin-Ovchinikov pair as observed in the single-band Hubbard model. The spatial oscillation period of the pair correlation function is widely fixed to be

π

irrespective of the mismatch between spin-split Fermi surfaces. The ground-state

π

order corresponds to

η

-pair condensate predicted by Yang [Phys. Rev. Lett. \textbf{63}, 2144 (1989)]. Taking account of the effects of harmonic traps, we confirm that the

η

-pair state distinctly emerges at the center of the trap potential surrounded by perfectly-polarized states even in the trapped cases.