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首页> 外文期刊>Physical review >Resonating valence bond trial wave functions with both static and dynamically determined Marshall sign structure
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Resonating valence bond trial wave functions with both static and dynamically determined Marshall sign structure

机译：具有静态和动态确定的马歇尔符号结构的共振价键试验波函数

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摘要

We construct energy-optimized resonating valence bond wave functions as a means to sketch out the zero-temperature phase diagram of the square-lattice quantum Heisenberg model with competing nearest- (J_1) and next-nearest-neighbor (J_2) interactions. Our emphasis is not on achieving an accurate representation of the magnetically disordered intermediate phase (centered on a relative coupling g = J_2/J_1 ～1/2 and whose exact nature is still controversial) but on exploring whether and how the Marshall sign structure breaks down in the vicinity of the phase boundaries. Numerical evaluation of two- and four-spin correlation functions is carried out stochastically using a worm algorithm that has been modified to operate in either of two modes: one in which the sublattice labeling is fixed beforehand and another in which the worm manipulates the current labeling so as to sample various sign conventions. Our results suggest that the disordered phase evolves continuously out of the (π,π) Neel phase and largely inherits its Marshall sign structure; on the other hand, the transition from the magnetically ordered (π,0) phase is strongly first order and involves an abrupt change in the sign structure and spatial symmetry as the result of a level crossing.
机译：我们构建能量优化的共振价键波函数，以草绘具有最近竞争（J_1）和次近邻（J_2）相互作用的方格量子Heisenberg模型的零温度相图。我们的重点不是要获得磁混乱中间相的准确表示（以相对耦合g = J_2 / J_1〜1/2为中心，并且其确切性质仍然有争议），而是要探讨马歇尔征兆结构是否以及如何破裂在相位边界附近。使用蠕虫算法随机地对二旋和四旋相关函数进行数值评估，该蠕虫算法已被修改为可以在两种模式下操作：一种预先固定了亚晶格标记，另一种蠕虫操纵了当前的标记。以便采样各种符号约定。我们的结果表明，无序相从（π，π）Neel相连续演化而来，并在很大程度上继承了其马歇尔符号结构。另一方面，从磁有序（π，0）相开始的跃迁是强烈的一阶跃，并且由于能级交叉而涉及符号结构和空间对称性的突然变化。

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