Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
arXiv:0804.2223 · doi:10.1103/PhysRevA.77.053406
Abstract
In this work we study ultracold Fermions confined in a two-dimensional optical lattice and we explore the Mott-insulator transition with the Fermi-Hubbard model. On the basis of a mean-field approach, we study the phase diagrams in the presence of a harmonic trapping potential. Local Mott-insulator phases are shown to be generally situated in the center of the trap and correspond to a vanishing variance of the local density. We then study the effects induced by rotation on the Mott-insulator phase transition. In particular, we show that the phase boundary reproduces the edge of the Hofstadter butterfly.
7 pages, 7 figures, to appear in Physical Review A
References in corpus (30)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- The cold atom Hubbard toolbox
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
- Fractional quantum Hall states of atoms in optical Lattices
- Slow light in degenerate Fermi gases
- Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
- Local quantum criticality in confined fermions on optical lattices
- High field fractional quantum Hall effect in optical lattices
- Interaction-controlled transport of an ultracold Fermi gas
- Mott transition of fermionic atoms in a three-dimensional optical trap
- Collective oscillations of a trapped Fermi gas near the unitary limit
- Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta
- Bose-Einstein Condensates in Rotating Lattices
- Vortex configurations of bosons in an optical lattice
- Mean-field theory for Bose-Hubbard Model under a magnetic field
- Superfluid-Insulator Transition of Strongly Interacting Fermi Gases in Optical Lattices
- Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
- Hall effects in Bose-Einstein condensates in a rotating optical lattice
- Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
- Vortex-Peierls States in Optical Lattices
- Superfluid-insulator transitions of the Fermi gas with near-unitary interactions in a periodic potential
- Vortex lattices of bosons in deep rotating optical lattices
- Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
- Characterization of topological states on a lattice with Chern number
- Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice
- Hofstadter Rules and Generalized Dimensions of the Spectrum of Harper's Equation
- Spatial patterns in optical lattices submitted to gauge potentials
Cited by in corpus (6)
- Characterizing the Hofstadter butterfly's outline with Chern numbers
- Butterfly Floquet Spectrum in Driven SU(2) Systems
- Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
- Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
- Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
- Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices