Ferromagnetic behavior in the strongly interacting two-component Bose gas
Ferromagnetic behavior in the strongly interacting two-component Bose gas
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DOI：
10.1103/physreva.76.043617
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发表时间：
2007-10-01
影响因子：
2.9
通讯作者：
Takahashi, Minoru
中科院分区：
文献类型：
--
作者：
Guan, Xi-Wen;Batchelor, Murray T.;Takahashi, Minoru
利用热力学Bethe近似研究了可积一维二分量旋量玻色气体的低温行为。我们发现，强耦合的热力学特性在低温下的定量影响的自旋铁磁态，这是描述了一个有效的铁磁海森堡链。自由能，比热，磁化率，和本地对相关函数计算各种物理制度的温度和相互作用强度。这些热力学性质揭示了自旋效应，这是显着不同的无自旋玻色气体。有限强排斥的零场磁化率超过了自由自旋顺磁体。比热c（v）的临界指数类似于T-1/2，磁化率chi类似于T-2，表明了双组分旋量玻色气体的铁磁特征。我们的分析结果与Eisenberg和Lieb关于极化旋量玻色子的一般论点是一致的。
We investigate the low-temperature behavior of the integrable one-dimensional two-component spinor Bose gas using the thermodynamic Bethe ansatz. We find that for strong coupling the characteristics of the thermodynamics at low temperatures are quantitatively affected by the spin ferromagnetic states, which are described by an effective ferromagnetic Heisenberg chain. The free energy, specific heat, susceptibility, and local pair correlation function are calculated for various physical regimes in terms of temperature and interaction strength. These thermodynamic properties reveal spin effects which are significantly different than those of the spinless Bose gas. The zero-field susceptibility for finite strong repulsion exceeds that of a free spin paramagnet. The critical exponents of the specific heat c(v)similar to T-1/2 and the susceptibility chi similar to T-2 are indicative of the ferromagnetic signature of the two-component spinor Bose gas. Our analytic results are consistent with general arguments by Eisenberg and Lieb for polarized spinor bosons.