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Quantum fluctuations driven orientational disordering: A finite-size sealing study

机译:量子涨落驱动取向紊乱:有限尺寸密封研究

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摘要

The orientational ordering transition is investigated in the quantum generalization of the anisotropic-planar-rotor model in the low-temperature regime. The phase diagram of the model is first analyzed within the mean-field approximation. This predicts at T=O a phase transition from the ordered to the disordered phase when the strength of quantum fluctuations, characterized by the rotational constant Theta, exceeds a critical value Theta(c)(MF). As a function of temperature, mean-field theory predicts a range of values of Theta where the system develops long-range order upon cooling, but enters again into a disordered state at sufficiently low temperatures (reentrance). The model is further studied by means of path-integral Monte Carlo simulations in combination with finite-size scaling techniques, concentrating on the region of parameter space where reentrance is predicted to occur. The phase diagram determined from the simulations does not seem to exhibit reentrant behavior; at intermediate temperatures a pronounced increase of short-range order is observed rather than a genuine long-range order.
机译:各向异性平面转子模型在低温状态下的量子概括研究了取向有序跃迁。首先在平均场近似内分析模型的相图。当以旋转常数Theta为特征的量子涨落强度超过临界值Theta(c)(MF)时,这会在T = O时预测从有序相到无序相的相变。作为温度的函数,平均场理论预测Theta值的范围,在该范围内,系统在冷却时会形成长程有序状态,但在足够低的温度下(进入)再次进入无序状态。通过路径积分蒙特卡罗模拟结合有限尺寸缩放技术,进一步研究了该模型,重点研究了预测会发生重入的参数空间区域。通过仿真确定的相图似乎没有表现出可重入的行为;相反,在中间温度下,观察到短程有明显的增加,而不是真正的长程有序。

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