Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures

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dc.creatorGuan, X. -W.
dc.creatorBatchelor, M. T.
dc.creatorLee, J. -Y.
dc.date2008-06-16
dc.date.accessioned2026-07-07T09:57:36Z
dc.date.available2026-07-07T09:57:36Z
dc.descriptionWe investigate magnetic properties and statistical effects in 1D strongly repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized fermions and bosons. Universality in the characteristics of phase transitions, magnetization and susceptibility in the presence of an external magnetic field $H$ are analyzed from the exact thermodynamic Bethe ansatz solution. We show explicitly that polarized fermions with a repulsive interaction have antiferromagnetic behavior at zero temperature. A universality class of linear field-dependent magnetization persists for weak and finite strong interaction. The system is fully polarized when the external field exceeds the critical value $H^F_c\approx \frac{8}γE_F$, where $E_F$ is the Fermi energy and $γ$ is the dimensionless interaction strength. In contrast, the mixture of polarized fermions and bosons in an external field exhibits square-root field-dependent magnetization in the vicinities of H=0 and the critical value $H=H^M_c\approx \frac{16}γE_F$. We find that a pure boson phase occurs in the absence of the external field, fully-polarized fermions and bosons coexist for $0<H<H^M_c$, and a fully-polarized fermion phase occurs for $H\ge H_c^M$. This phase diagram for the Bose-Fermi mixture is reminiscent of weakly attractive fermions with population imbalance, where the interacting fermions with opposite spins form singlet pairs.
dc.description23 pages 5 figures
dc.identifierhttps://arxiv.org/abs/0806.2499
dc.identifierhttp://arxiv.org/abs/0806.2499
dc.identifierPhys. Rev. A 78, 023621 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.023621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167402
dc.subjectStatistical Mechanics
dc.titleMagnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
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