Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
arXiv:0903.2783 · doi:10.1088/1367-2630/11/7/073009
Abstract
An extensive investigation is given for magnetic properties and phase transitions in one-dimensional Bethe ansatz integrable spin-1/2 attractive fermions with polarization by means of the dressed energy formalism. An iteration method is presented to derive higher order corrections for the ground state energy, critical fields and magnetic properties. Numerical solutions of the dressed energy equations confirm that the analytic expressions for these physical quantities and resulting phase diagrams are highly accurate in the weak and strong coupling regimes, capturing the precise nature of magnetic effects and quantum phase transitions in one-dimensional interacting fermions with population imbalance. Moreover, it is shown that the universality class of linear field-dependent behaviour of the magnetization holds throughout the whole attractive regime.
21 pages, 7 figures, some clarifications added, with some new and updated references
References in corpus (51)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Theory of ultracold Fermi gases
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Pairing and Phase Separation in a Polarized Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Using photoemission spectroscopy to probe a strongly interacting Fermi gas
- Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
- Bosonizing one-dimensional cold atomic gases
- Interior Gap Superfluidity
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Ultracold fermions and the SU(N) Hubbard model
- Deformation of a Trapped Fermi Gas with Unequal Spin Populations
- Attractive Fermi gases with unequal spin populations in highly elongated traps
- Phase diagram of a strongly interacting polarized Fermi gas in one dimension
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Instabilities in binary mixtures of one-dimensional quantum degenerate gases
- Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
- An exactly solvable model of the BCS-BEC crossover
- Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
- Inhomogeneous superconducting state in quasi-one-dimensional systems
- Quasi-one-dimensional polarized Fermi superfluids
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Determination of the Fermion Pair Size in a Resonantly Interacting Superfluid
- Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
- Superfluidity and magnetism in multicomponent ultracold fermions
- Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
- Profiles of near-resonant population-imbalanced trapped Fermi gases
- Spin waves in a one-dimensional spinor Bose gas
- Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
- Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
- The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
- Surface Tension in Unitary Fermi Gases with Population Imbalance
- Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
- Theory of quasi-one dimensional imbalanced Fermi gases
- Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations
- Paired states in spin-imbalanced atomic Fermi gases in one dimension
- Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
- Superfluid phase diagrams of trapped Fermi gases with population imbalance
- Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
- Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension
- Density Profiles of Strongly Interacting Trapped Fermi Gases
- Exact results for the 1D interacting Fermi gas with arbitrary polarization
- Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
- Visualization of vortex bound states in polarized Fermi gases at unitarity
- Rotating ground states of a one-dimensional spin-polarized gas of fermionic atoms with attractive p-wave interactions on a mesoscopic ring
Cited by in corpus (14)
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
- One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas
- A geometric wave function for few interacting bosons in a harmonic trap
- Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
- Exactly solvable models and ultracold Fermi gases
- Collective modes as a probe of imbalanced Fermi gases
- Dimensional Crossover in a Spin-imbalanced Fermi gas
- Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
- Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
- Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
- Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
- Low temperature specific heat of 1D multicomponent systems at commensurate- incommensurate phase transition point
- Universal logarithmic temperature dependence of magnetic susceptibility of one-dimensional electrons at critical values of magnetic field