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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Hidden rotational symmetry in a generalized Ising model with rectangular symmetry
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Hidden rotational symmetry in a generalized Ising model with rectangular symmetry

机译：具有矩形对称性的广义Ising模型中的隐藏旋转对称性

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摘要

Novel quantum phases are of interest both fundamentally and practically. In this paper, a toy lattice model with exact four-fold rotational symmetry (C_4), which can be taken as a straightforward generalization of the usual Ising model, is studied. The phase diagram in the t-T plane is plotted, where t is the energy controlling quantum fluctuations and T is the temperature. The diagram features an exotic phase (termed the S-phase), which meets the conventional ordered and disordered phases at a tri-critical point. The S-phase distinguishes itself from the conventional ordered phase by its symmetry properties. In fact, it is shown to arise from the spontaneous breaking of the continuous rotational symmetry rather than the C_4 symmetry. This is manifested in the long-wavelength fluctuations, which are shown to be the gapless Nambu-Goldstone modes following a quadratic dispersion relation, similar to that of the XY model. Further, discontinuous quantum phase transitions are found and they are argued to occur subsequent to the S-phase.
机译：从根本上和实践上，新型量子相都是令人感兴趣的。在本文中，研究了具有精确四重旋转对称性（C_4）的玩具晶格模型，该模型可被视为常规Ising模型的直接概括。绘制了t-T平面中的相图，其中t是控制量子涨落的能量，T是温度。该图具有一个奇异相（称为S相），该相在三临界点处满足常规有序和无序相。 S相的对称性使其与常规有序相区别开来。实际上，这表明是由于连续旋转对称性而不是C_4对称性的自然破坏而引起的。这表现在长波长波动中，该波动被证明是遵循XY模型的二次色散关系的无间隙Nambu-Goldstone模式。此外，发现不连续的量子相变，并认为它们发生在S相之后。

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