Thermodynamic properties of the itinerant-boson ferromagnet
Chengjun Tao, Peilin Wang, Jihong Qin, and Qiang Gu

TL;DR
This paper investigates the thermodynamic behavior of a spin-1 Bose gas with ferromagnetic interactions, revealing two phase transitions and analyzing magnetic susceptibility using mean-field theory.
Contribution
It introduces a mean-field theoretical analysis of ferromagnetic spin-1 Bose gases, highlighting the sequence of phase transitions and magnetic properties.
Findings
System exhibits two phase transitions: ferromagnetic and Bose-Einstein condensation.
Susceptibility follows Curie-Weiss law above the Curie point.
Reciprocal susceptibility linearly relates to ferromagnetic interaction at fixed temperature.
Abstract
Thermodynamics of a spin-1 Bose gas with ferromagnetic interactions are investigated via the mean-field theory. It is apparently shown in the specific heat curve that the system undergoes two phase transitions, the ferromagnetic transition and the Bose-Einstein condensation, with the Curie point above the condensation temperature. Above the Curie point, the susceptibility fits the Curie-Weiss law perfectly. At a fixed temperature, the reciprocal susceptibility is also in a good linear relationship with the ferromagnetic interaction.
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