自旋玻璃系统中Phase Diagrams的量子力学诱导非对称性
Quantum-Mechanically Induced Asymmetry in the Phase Diagrams of Spin-Glass Systems
摘要：
利用重整化群理论研究了自旋为1/2的量子海森堡模型在全维d空间中的性质。强不对称相图的温度和反铁磁键概率p得到的尺寸d \geq 3。在高温下接近纯铁磁和反铁磁系统的不对称性随着d的增加而消失。然而，在低但有限的温度下的不对称性在所有维度上都保持不变，反铁磁相后退到铁磁相。直接在铁磁和反铁磁相之间的有限温度的二阶相边界发生在d \geq 6，导致在其会议与边界的顺磁相的一个新的多临界点。在d= 3，4，5时，达到零温度的顺磁相不对称地介于铁磁相和折返反铁磁相之间。在任何维度上都不存在自旋玻璃相。
英文摘要：
The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq 3. The asymmetry at high temperatures approaching the pure ferromagnetic and antiferromagnetic systems disappears as d is increased. However, the asymmetry at low but finite temperatures remains in all dimensions, with the antiferromagnetic phase receding to the ferromagnetic phase. A finite-temperature second-order phase boundary directly between the ferromagnetic and antiferromagnetic phases occurs in d \geq 6, resulting in a new multicritical point at its meeting with the boundaries to the paramagnetic phase. In d=3,4,5, a paramagnetic phase reaching zero temperature intervenes asymmetrically between the ferromagnetic and reentrant antiferromagnetic phases. There is no spin-glass phase in any dimension.
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