Abstract

Neutral excitations in a two-dimensional electron system with an orbital and spin quantum number of 1 in the vicinity of filling factor v = 3/2 are studied experimentally. It is found that the rate of excitation relaxation to the ground state slows very strongly at v = 3/2, even though the number of vacancies in the ground state suitable for the relaxation of excitations is macroscopically large. It is shown that neutral excitations with orbital and spin quantum numbers of 1 in the state of v = 3/2 are an example of topologically protected excitation with different spin orderings in the ground and excited states. The state of v = 3/2 is an example of a locally incompressible fractional state of the quantum Hall effect, which is neither a Laughlin liquid nor an integer state of composite fermions.

中文翻译：

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当v = 3/2时，分数量子霍尔效应的局部不可压缩自旋状态

摘要

实验研究了在填充因子v = 3/2附近的轨道和自旋量子数为1的二维电子系统中的中性激发。已经发现，即使在宏观上适合于激发弛豫的基态中的空位数目很大，在v = 3/2时，激发弛豫到基态的速率也会大大降低。结果表明，在v = 3/2的状态下，轨道和自旋量子数为1的中性激发是拓扑保护的激发的一个示例，该激发在基态和激发态中具有不同的自旋顺序。v的状态 = 3/2是量子霍尔效应的局部不可压缩分数态的示例，该分数态既不是Laughlin液体也不是复合费米子的整数状态。