Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
Identifieur interne : 001171 ( Main/Exploration ); précédent : 001170; suivant : 001172Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
Auteurs : J-S He [République populaire de Chine] ; A. Foerster [Brésil] ; X W Guan [Australie] ; M T Batchelor [Australie]Source :
- New Journal of Physics [ 1367-2630 ] ; 2009.
English descriptors
- Teeft :
- Analytic result, Analytic results, Attractive fermions, Attractive interaction, Binding energy, Chemical potentials, Eld, Energy equations, Excellent agreement, Fermi, Fermi liquids, Fermi surfaces, Fermion, Fflo, Fflo state, Gapless phase, Ground state, Guan, Gure, Higher order corrections, Imaginary part, Imbalance, Interaction strength, Intermediate range, Lett, Magnetic effects, Magnetic properties, Magnetization, Nite, Numerical solution, Numerical solutions, Pairing, Pairing signature, Phase diagram, Phase transitions, Phys, Physical quantities, Population imbalance, Quantum phase transitions, Quantum phases, Quasimomentum, Quasimomentum space, Repulsive interaction, Singlet ground state, Thermodynamic limit, Unit length, Universality class.
Abstract
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.
Url:
DOI: 10.1088/1367-2630/11/7/073009
Affiliations:
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<term>Imbalance</term>
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<term>Lett</term>
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<term>Magnetic properties</term>
<term>Magnetization</term>
<term>Nite</term>
<term>Numerical solution</term>
<term>Numerical solutions</term>
<term>Pairing</term>
<term>Pairing signature</term>
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<term>Phase transitions</term>
<term>Phys</term>
<term>Physical quantities</term>
<term>Population imbalance</term>
<term>Quantum phase transitions</term>
<term>Quantum phases</term>
<term>Quasimomentum</term>
<term>Quasimomentum space</term>
<term>Repulsive interaction</term>
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<front><div type="abstract">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.</div>
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