Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
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二维自旋系统中伊辛极限附近的束缚态：量子有限晶格研究
DOI：
10.1103/physrevb.81.064412
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发表时间：
2009
影响因子：
3.7
通讯作者：
Julien Vidal
中科院分区：
文献类型：
--
作者：
S. Dusuel;M. Kamfor;K. P. Schmidt;Ronny Thomale;Ronny Thomale;Ronny Thomale;Julien Vidal
我们在正方形晶格上分析了横场伊辛模型和XXZ模型中低能束缚态的性质。为此，我们发展了扰动连续么正变换的优化实现。在小场极限下研究了Ising模型，发现它是磁场中Toric码模型的一个特例。为了分析XXZ模型，我们对伊辛极限进行了微扰展开，以讨论在接近海森堡点时基本磁振子激发的命运。
We analyze the properties of low-energy bound states in the transverse-field Ising model and in the XXZ model on the square lattice. To this end, we develop an optimized implementation of perturbative continuous unitary transformations. The Ising model is studied in the small-field limit which is found to be a special case of the toric code model in a magnetic field. To analyze the XXZ model, we perform a perturbative expansion about the Ising limit in order to discuss the fate of the elementary magnon excitations when approaching the Heisenberg point.