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Quantum‐phase transitions in 1D Heisenberg spin systems
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-10-15 , DOI: 10.1002/qua.26498
Vladyslav O. Cheranovskii 1 , Viktor V. Slavin 2 , Douglas J. Klein 3
Affiliation  

Focusing on novel highly correlated low‐dimensional systems, we investigate a class of quasione‐dimensional systems with an even number of spin‐½ sites per unit cell, for which we find, here, that it does not give a gap in the exact excitation spectrum. The unit cells of these systems are formed by two different structural units, each with an odd number of sites. We find the instability of these systems against the regular oscillations of the interactions between structural units and estimate numerically the corresponding critical exponents for the ground‐state energies. In contrast to the well‐known spin‐Peierls instability, this type of structural instability does not change the symmetry of the above systems. We also present a class of disordered one‐dimensional spin systems formed by different types of structural units with odd numbers of spins to demonstrate a critical behavior similar to a homogeneous spin‐½ chain in the limit of weak interactions between structural units.

中文翻译:

一维海森堡自旋系统的量子相变

着眼于新颖的高度相关的低维系统,我们研究了一类具有单位单元自旋½个位点偶数的quasione维系统,在这里我们发现,在精确激发中没有间隙光谱。这些系统的晶胞由两个不同的结构单元形成,每个结构单元具有奇数个位点。我们发现这些系统对结构单元之间相互作用的规则振动具有不稳定性,并通过数字估计了基态能量的相应临界指数。与众所周知的自旋-Peierls不稳定性相比,这种类型的结构不稳定性不会改变上述系统的对称性。
更新日期:2020-10-15
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