量子霍尔跃迁中的自旋翻转散射
Spin-flip scattering at quantum Hall transition
摘要：
我们制定了一个广义的Chalker-Coddington网络模型，描述了在量子霍尔制度的二维电子气的核自旋的影响。我们发现精确的解析表达式的带电粒子通过鞍点势存在的垂直磁场，考虑自旋翻转过程的传输系数。自旋翻转散射在量子霍尔跃迁临界能量附近的有限范围内产生金属态。结果发现，通常的绝缘相与霍尔电导$σ_{xy}=0, 1, 2$分离的新的金属相。
英文摘要：
We formulate a generalized Chalker--Coddington network model that describes the effect of nuclear spins on the two-dimensional electron gas in the quantum Hall regime. We find exact analytical expression for the transmission coefficient of a charged particle through a saddle point potential in presence of perpendicular magnetic field that takes into account spin-flip processes. Spin-flip scattering creates a metallic state in a finite range around the critical energy of quantum Hall transition. As a result we find that the usual insulating phases with Hall conductance $σ_{xy}=0, 1, 2$ are separated by novel metallic phases.
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