Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization

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

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Cited by in corpus (5)

• Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Universal logarithmic temperature dependence of magnetic susceptibility of one-dimensional electrons at critical values of magnetic field