Spin models of quasi-1D quantum ferrimagnets with competing interactions
Spin models of quasi-1D quantum ferrimagnets with competing interactions
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具有竞争相互作用的准一维量子亚铁磁体的自旋模型
DOI：
10.1002/chin.201005261
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
N. Ivanov
中科院分区：
文献类型：
--
作者：
N. Ivanov
我们提出了一个简单的调查，最近的理论工作有关的通用海森堡自旋模型描述准一维量子亚铁磁体。重点是具有强竞争相互作用的量子链和量子梯，如具有交替（1，1/2）自旋的受抑$J_1-J_2$链，具有四自旋循环耦合的自旋1/2金刚石链，以及一些具有几何受抑的混合自旋梯。作为一项规则，所讨论的模型表现出丰富的量子相图，并提供了一些有趣的例子，一维磁顺磁量子相变。一些开放的问题在审查的研究领域进行了讨论。
We present a brief survey of the recent theoretical work related to generic Heisenberg spin models describing quasi-one-dimensional quantum ferrimagnets. The emphasis is on quantum chains and ladders with strong competing interactions, such as the frustrated $J_1-J_2$ chain with alternating (1,1/2) spins, the spin-1/2 diamond chain with four-spin cyclic couplings, and some generic types of mixed-spin ladders with geometric frustration. As a rule, discussed models exhibit rich quantum phase diagrams and provide some interesting examples of one-dimensional magnetic-paramagnetic quantum phase transitions. A number of open problems in the reviewed research area are discussed.