Boundary contribution to specific heat and suceptibility in the spin-1/2 XXZ chain

Boundary contribution to specific heat and suceptibility in the spin-1/2 XXZ chain
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自旋 1/2 XXZ 链中比热和磁化率的边界贡献

DOI:
10.1103/physrevb.69.094429
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发表时间:
2003
期刊:
影响因子:
3.7
通讯作者:
T. Hikihara
T. Hikihara
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Furusaki;T. Hikihara

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凝聚态理论研究室,日本,和子,琦玉351-0198(2003年10月22日)利用阿贝尔玻色化方法,解析地得到了交换各向异性为1/2 <1 ≤1的一维自旋1/2XXZ模型中边界对比热和磁化率贡献的精确低温渐近行为。在低温极限下,边界自旋极化率是发散的。这种奇异行为是由一个不相干的主体引导算子对边界自由能的一阶贡献引起的。通过对有限尺寸系统的数值模拟,证实了这一结果。在自旋各向同性的情况下,反常的边界贡献是普遍的。
Condensed-Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198, Japan(Dated: October 22, 2003)Exact low-temperature asymptotic behavior of boundary contribution to specific heat and sus-ceptibility in the one-dimensional spin-1/2 XXZ model with exchange anisotropy 1/2 < ∆ ≤1 isanalytically obtained using the Abelian bosonization method. The boundary spin susceptibility isdivergent in the low-temperature limit. This singular behavior is caused by the first-order contri-bution of a bulk leading irrelevant operator to boundary free energy. The result is confirmed bynumerical simulations of finite-size systems. The anomalous boundary contributions in the spinisotropic case are universal.