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Quantum phase transitions in frustrated 1D Heisenberg spin systems
Low Temperature Physics ( IF 0.8 ) Pub Date : 2021-06-29 , DOI: 10.1063/10.0004965
V. O. Cheranovskii 1 , V. V. Slavin 2 , D. J. Klein 3
Affiliation  

A class of frustrated one-dimensional periodic Heisenberg spin systems formed either by triangular unit cells with spin 1/2 or by composite unit cells formed by two different structural units, triangles and small linear segments formed by an odd number of spin-1/2 is investigated. Based on perturbative processing and numerical calculations of the density matrix renormalization group method, the gapless character of the exact energy spectrum of excitation for these systems was found. Their instability with respect to regular (Peierls) oscillations of interactions between structural units is demonstrated. The corresponding critical exponents for the energies of the ground state are estimated numerically. For some frustrated systems, a quantum phase transition associated with the spin symmetry of the ground state, caused by frustration, has been discovered.

中文翻译:

受挫一维海森堡自旋系统中的量子相变

一类受抑一维周期性海森堡自旋系统由自旋为 1/2 的三角形晶胞或由两个不同的结构单元、三角形和奇数自旋为 1/2 的小线性段组成的复合晶胞形成被调查。基于密度矩阵重整化群方法的微扰处理和数值计算,发现了这些系统激发的精确能谱的无间隙特性。证明了它们相对于结构单元之间相互作用的规则(Peierls)振荡的不稳定性。基态能量的相应临界指数以数字方式估计。对于一些受挫系统,由受挫引起的与基态自旋对称相关的量子相变,
更新日期:2021-06-30
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