Luttinger liquid behavior in spin chains with a magnetic field
Luttinger liquid behavior in spin chains with a magnetic field
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磁场下自旋链中的卢廷格液体行为
DOI：
10.1103/physrevb.68.134445
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发表时间：
2002
影响因子：
3.7
通讯作者：
G. Fáth
中科院分区：
文献类型：
--
作者：
G. Fáth
（日期：2003年4月8日）在足够强磁场中的反铁磁海森堡自旋链是Luttinger液体，其参数取决于链的实际磁化强度。本文采用密度矩阵重整化群方法，通过计算S = 1/2和S = 1链的磁化和四极算子分布，给出了确定临界暴露的Luttinger液体盛装电荷Z的精确数值估计。还确定了临界振幅和链端散射长度。虽然两种系统都是卢廷格液体，但其特征参数差别很大。
Research Institute for Solid State Physics and Optics, P.O. Box 49, H-1525 Budapest, Hungary(Dated: 8 April 2003)Antiferromagnetic Heisenberg spin chains in a sufficiently strong magnetic field are Luttinger liq-uids, whose parameters depend on the actual magnetization of the chain. Here we present precisenumerical estimates of the Luttinger liquid dressed charge Z, which determines the critical expo-nents, by calculating the magnetization and quadrupole operator profiles for S = 1/2 and S = 1chains using the density matrix renormalization group method. Critical amplitudes and the scat-tering length at the chain ends are also determined. Although both systems are Luttinger liquidsthe characteristic parameters differ considerably.