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Unconventional quantum ordered and disordered states in the highly frustrated spin-1/2 Ising-Heisenberg model on triangles-in-triangles lattices

机译：非传统的量子有序和无序状态在高度   三角形三角形格子中的沮丧旋转1/2 Ising-Heisenberg模型

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Ground state and thermodynamics of geometrically frustrated spin-1/2Ising-Heisenberg model on two different but topologically relatedtriangles-in-triangles lattices is investigated in particular. A rigorousmapping based on generalized star-triangle transformations enables one toderive exact analytical results for the free and internal energy, spontaneousmagnetization, entropy and specific heat from the known exact results for thecorresponding spin-1/2 Ising model on a triangular lattice. It is demonstratedthat several unconventional quantum ordered and disordered phases may becomethe ground state in addition to the classical ferromagnetic phase with aperfect alignment of all constituent spins. A mutual competition between theferromagnetic Ising and XXZ Heisenberg interactions may lead to an appearanceof a peculiar quantum ferromagnetic phase, in which the magnetic moment of theHeisenberg spins undergoes a quantum reduction to one third of the saturationvalue in contrast with the fully saturated magnetic moment of the classicalIsing spins. In the highly frustrated regime, we have found either thedisordered quantum paramagnetic phase with the substantial residual entropy ora similar but strikingly spontaneously long-range ordered phase, in which aquantum reduction of the magnetic moment of the Heisenberg spins causes a smallquantum reduction of the magnetic moment of otherwise purely classical Isingspins. It is evidenced that the specific heat exhibits diverse thermaldependences with or without a logarithmic divergence superimposed either on oneor two round Schottky-type maxima.
机译：特别研究了在两个不同但拓扑相关的三角形三角形网格中几何受挫的spin-1 / 2Ising-Heisenberg模型的基态和热力学。基于广义星三角变换的严格映射使得能够根据三角形晶格上相应的spin-1 / 2 Ising模型的已知精确结果，得出有关自由和内部能量，自发磁化，熵和比热的精确推定分析结果。结果表明，除了经典的铁磁相外，所有组成自旋均能完美排列的非常规量子有序相和无序相可能成为基态。铁磁Ising与XXZ Heisenberg相互作用之间的相互竞争可能导致出现一种特殊的量子铁磁相，其中Heisenberg自旋的磁矩经历了量子衰减，达到了饱和值的三分之一，而经典Ising则完全饱和了。旋转。在高度受挫的状态下，我们发现具有大量剩余熵的无序量子顺磁相或相似但自发的长程有序相，其中海森堡自旋磁矩的量子减小导致磁矩的小量子减小。否则纯古典的Isingspins。有证据表明，比热表现出不同的热依赖性，有或没有对数发散叠加在一个或两个圆形的肖特基型最大值上。

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    Cisarova, Jana; Strecka, Jozef;

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  • 年度 2013
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