论文标题
在Heisenberg旋转玻璃系统d = 3维度中的列表排序
Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
论文作者
论文摘要
列分顺序,其中旋转沿自发选择的轴对齐全球对齐,无论方向如何,都发生在经典海森堡旋转的旋转玻璃系统中,d = 3。在此系统中,将最近的邻居相互作用被淬灭随机的铁磁或抗铁磁磁性,而不是本地随机有序的旋转玻璃相,该系统在全球范围内订购为列前相。该系统正好在分层晶格上求解,同等地,Migdal-Kadanoff大约在立方晶格上。计算全局相图,表现出这种列相和铁磁,抗铁磁,无序相。在其他维度d> 2中也发现了经典的海森堡自旋玻璃系统的列相:我们计算24个维度的列在2 <d = <4的维度。
Nematic ordering, where the spins globally align along a spontaneously chosen axis irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d=3. In this system where the nearest-neighbor interactions are quenched randomly ferromagnetic or antiferromagnetic, instead of the locally randomly ordered spin-glass phase, the system orders globally as a nematic phase. The system is solved exactly on a hierarchical lattice and, equivalently, Migdal-Kadanoff approximately on a cubic lattice. The global phase diagram is calculated, exhibiting this nematic phase, and ferromagnetic, antiferromagnetic, disordered phases. The nematic phase of the classical Heisenberg spin-glass system is also found in other dimensions d>2: We calculate nematic transition temperatures in 24 dimensions in 2<d=<4.