Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect.
Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect.
复制标题
分数量子霍尔效应中自旋跃迁的朗道级混合和粒子空穴对称性破缺。
DOI：
10.1103/physrevlett.117.116803
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发表时间：
2016
影响因子：
8.6
通讯作者：
J. Jain
中科院分区：
文献类型：
--
作者：
Yuhe Zhang;A. Wójs;J. Jain
分数量子霍尔效应中的自旋跃迁提供了对不同自旋极化态之间微小能量差异的直接测量，从而作为分数量子霍尔效应理论定量准确性的极其敏感的测试，特别是朗道能级混合在提高粒子-洞对称性方面的作用。我们报告了对这种物理的精确定量研究，使用固定相扩散蒙特卡罗方法以非摄动方式评估朗道水平混合的影响。我们发现计算的临界塞曼能与实验测量值非常吻合。特别是，我们发现，在填充因子ν=2-n/（2n±1）时，分数阶量子霍尔态的临界塞曼能量显著高于ν=n/（2n±1）时的临界塞曼能量，这是朗道能级混合导致粒子-空穴对称性提升的定量标志。
The spin transitions in the fractional quantum Hall effect provide a direct measure of the tiny energy differences between differently spin-polarized states and thereby serve as an extremely sensitive test of the quantitative accuracy of the theory of the fractional quantum Hall effect, and, in particular, of the role of Landau-level mixing in lifting the particle-hole symmetry. We report on an accurate quantitative study of this physics, evaluating the effect of Landau-level mixing in a nonperturbative manner using a fixed-phase diffusion Monte Carlo method. We find excellent agreement between our calculated critical Zeeman energies and the experimentally measured values. In particular, we find, as also do experiments, that the critical Zeeman energies for fractional quantum Hall states at filling factors ν=2-n/(2n±1) are significantly higher than those for ν=n/(2n±1), a quantitative signature of the lifting of particle-hole symmetry due to Landau-level mixing.