Itinerant Ferromagnetism in an Atom Trap

Abstract

We propose an experiment to explore the magnetic phase transitions in interacting fermionic Hubbard systems, and describe how to obtain the ferromagnetic phase diagram of itinerant electron systems from these observations. In addition signatures of ferromagnetic correlations in the observed ground states are found: for large trap radii (trap radius $R_T>4$, in units of coherence length $\xi$), ground states are topological in nature -- a "skyrmion" in 2D, and a "hedgehog" in 3D.

Final Published version. References added

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A Mott insulator of fermionic atoms in an optical lattice
• Pairing and Phase Separation in a Polarized Fermi Gas
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Probing many-body states of ultra-cold atoms via noise correlations
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Phase diagram of a two-component Fermi gas with resonant interactions
• Coreless vortex formation in a spinor Bose-Einstein condensate
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Stable Skyrmions in two-component Bose-Einstein condensates
• Itinerant Ferromagnetism in an Ultracold Atom Fermi Gas
• Fermions in Optical Lattices across Feshbach Resonance
• Criterion for bosonic superfluidity in an optical lattice
• Spontaneous magnetization and structure formation in a spin-1 ferromagnetic Bose-Einstein condensate
• Collective ferromagnetism in two-component Fermi-degenerate gas trapped in finite potential
• A dynamical mean-field theory study of Nagaoka ferromagnetism

Cited by in corpus (23)

• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Correlations and Pair Formation in a Repulsively Interacting Fermi Gas
• Proposed realization of itinerant ferromagnetism in optical lattices
• Repulsive Fermi gas in a harmonic trap: Ferromagnetism and spin textures
• Observation of the Leggett-Rice effect in a unitary Fermi gas
• A repulsive atomic gas in a harmonic trap on the border of itinerant ferromagnetism
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• Exact Results on Itinerant Ferromagnetism in Multi-orbital Systems on Square and Cubic Lattices
• Itinerant ferromagnetism in a two-dimensional atomic gas
• Itinerant ferromagnetism in an interacting Fermi gas with mass imbalance
• Itinerant ferromagnetism in 1D two-component Fermi gases
• Magnetic structure of an imbalanced Fermi gas in an optical lattice
• Density, spin, and pairing instabilities in polarized ultracold Fermi gases
• Phase-separated Ferromagnetism in Spin-imbalanced Fermi Atoms Loaded on an Optical Ladder: a DMRG study
• Fermi liquid theory of ultra-cold trapped Fermi gases: Implications for Pseudogap Physics and Other Strongly Correlated Phases
• Dynamical instability of a spin spiral in an interacting Fermi gas as a probe of the Stoner transition
• Sign problem free quantum Monte-Carlo study on thermodynamic properties and magnetic phase transitions in orbital-active itinerant ferromagnets
• Dynamical spin-flip susceptibility for a strongly interacting ultracold Fermi gas
• Exact results for itinerant ferromagnetism in a $t_{2g}$ orbital system on cubic and square lattices
• Exchange interactions in the Hubbard-Stratonovich transformation for the stability analysis of itinerant ferromagnetism
• Spontaneous separation of two-component Fermi gases in a double-well trap
• One-dimensional two-component fermions with contact even-wave repulsion and SU(2) breaking near-resonant odd-wave attraction
• Repulsive fermions and shell effects on the surface of a sphere