2009/03/31 by J. -S. He, J-S He, A. Foerster +5
Physics and Astronomy · #Ansatz #Bethe ansatz #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Integrable system #Magnetism #Magnetization #Phase transition #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum phase transition #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1088/1367-2630/11/7/073009
published as New J. Phys. 11 (2009) 073009 · 21 pages, 7 figures, some clarifications added, with some new and updated references
arxiv created 2009/06/02 · openalex publication_date 2009/07/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
An extensive investigation is given for magnetic properties and phase transitions in one-dimensional (1D) 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 1D 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.