Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets.

Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets.
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一维 SU(N) 反铁磁体中相关性的熵依赖性。

DOI:
10.1103/physrevlett.109.205306
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发表时间:
2012
影响因子:
8.6
通讯作者:
F. Mila
F. Mila
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
L. Messio;F. Mila

文献摘要

被引文献

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受在光晶格中装载双费米子原子的可能性的启发,我们研究了在大U/t极限下,一维反铁磁SU(N)Heisenberg模型(每格点一个粒子(填充1/N)的SU(N)Hubbard模型的有效模型)性质的熵依赖性.使用连续时间的世界线蒙特卡罗模拟N=2-5,我们表明,特征短程相关发展在低温下的基态代数相关的前体。我们还计算了熵作为温度的函数,我们表明,短程有序的第一个符号出现在每个粒子的熵随N增加,并已达到0.8k(B)在N=4,在实验可获得的值的范围内。
Motivated by the possibility to load multicolor fermionic atoms in optical lattices, we study the entropy dependence of the properties of the one-dimensional antiferromagnetic SU(N) Heisenberg model, the effective model of the SU(N) Hubbard model with one particle per site (filling 1/N) in the large U/t limit. Using continuous-time world-line Monte Carlo simulations for N=2-5, we show that characteristic short-range correlations develop at low temperature as a precursor of the ground state algebraic correlations. We also calculate the entropy as a function of temperature, and we show that the first sign of short-range order appears at an entropy per particle that increases with N and already reaches 0.8k(B) at N=4, in the range of experimentally accessible values.