Finite temperature density-matrix-renormalization-group investigation of the spin-Peierls transition in CuGeO 3
Finite temperature density-matrix-renormalization-group investigation of the spin-Peierls transition in CuGeO 3
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CuGeO 3 中自旋-佩尔斯转变的有限温度密度-矩阵-重整化群研究
DOI：
10.1103/physrevb.59.3612
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发表时间：
1998
影响因子：
3.7
通讯作者：
F. Schönfeld
中科院分区：
文献类型：
--
作者：
A. Klümper;R. Raupach;F. Schönfeld
本文对二聚受抑海森堡链在极低温度下的热力学性质进行了数值研究，并应用于${\mathrm{CuGeO}}_{3}$。有限温度密度矩阵重整化群（DMRG）的一个变体允许研究的二聚相以前无法访问从头计算。我们研究静态二聚系统以及对晶格二聚量子链的不稳定性。定量地研究了从自由能的二次响应到有限温度下的畸变场到零温下的非解析行为的交叉。各种物理量的推导和比较与实验数据的${\mathrm{CuGeO}}_{3}$，如磁二聚，临界温度，磁化率和熵。
We present a numerical study of thermodynamical properties of dimerized frustrated Heisenberg chains down to extremely low temperatures with applications to ${\mathrm{CuGeO}}_{3}$. A variant of the finite temperature density matrix renormalization group (DMRG) allows the study of the dimerized phase previously unaccessible to ab initio calculations. We investigate static dimerized systems as well as the instability of the quantum chain towards lattice dimerization. The crossover from a quadratic response in the free energy to the distortion field at finite temperature to nonanalytic behavior at zero temperature is studied quantitatively. Various physical quantities are derived and compared with experimental data for ${\mathrm{CuGeO}}_{3}$ such as magnetic dimerization, critical temperature, susceptibility, and entropy.