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arXiv 0810.5144cond-mat.str-el
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阻挫磁性中的辛N与时间反演

Symplectic N and time reversal in frustrated magnetism

Rebecca Flint, P. Coleman

摘要:

确定自旋的时间反演对称性作为一个辛对称,我们开发了一个大N近似的量子磁性,包括反铁磁性和铁磁性。在SU(N)中,N>2,不是所有的自旋都在时间反转下反转,所以我们引入了一种新的大N处理,它完全从时间反转自旋的辛子群[SP(N)]中建立相互作用,这是一个比以前SP(N)大N处理的辛对称性更严格的条件。因此,我们得到了一个平均场论,其中包括挫折债券的能量成本。当应用于阻挫正方晶格时,铁磁键恢复了Neel相临界自旋的阻挫依赖性,并恢复了有限温度Ising跃迁的正确阻挫依赖性。

英文摘要:

Identifying the time reversal symmetry of spins as a symplectic symmetry, we develop a large N approximation for quantum magnetism that embraces both antiferromagnetism and ferromagnetism. In SU(N), N>2, not all spins invert under time reversal, so we have introduced a new large N treatment which builds interactions exclusively out of the symplectic subgroup [SP(N)] of time reversing spins, a more stringent condition than the symplectic symmetry of previous SP(N) large N treatments. As a result, we obtain a mean field theory that incorporates the energy cost of frustrated bonds. When applied to the frustrated square lattice, the ferromagnetic bonds restore the frustration dependence of the critical spin in the Neel phase, and recover the correct frustration dependence of the finite temperature Ising transition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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