整数霍尔跃迁与轨道霍尔跃迁中共存的多重分形介观涨落
Coexistent multifractal mesoscopic fluctuations in Integer Quantum Hall Transition and in Orbital Hall Transition
AI总结：
本文研究了四端纳米线中整数霍尔跃迁与轨道霍尔跃迁共存的现象，利用多重分形去趋势涨落分析发现两者的电导涨落均呈现多重分形行为，揭示了无序与有限尺寸对多重分形性的影响，并指出OHT可为未来IQHT分析提供新见解。
摘要：
我们证明，连接到四个终端且具有轨道动量空间织构的掺杂纳米线中的整数霍尔跃迁伴随着轨道霍尔跃迁。我们应用了多重分形去趋势涨落分析，发现整数霍尔跃迁（IQHT）中的电导涨落和轨道霍尔跃迁（OHT）中的轨道电导涨落均表现出多重分形行为。我们认为，这种多重分形主要与无序有关，无序引发了作为IQHT和OHT指纹的强涨落，但同时也是纳米线具有有限尺寸的结果，这导致多重分形性在无序强度的特定取值范围内减弱，随后进入多重分形性随无序强度增加而增强的新区域。此外，我们的研究结果表明，OHT能为未来的IQHT分析提供新见解。
英文摘要：
We show that the integer quantum Hall transition in a disordered nanowire with orbital momentum-space texture connected to four terminals is accompanied by an orbital Hall transition. We applied a multifractal detrended fluctuation analysis and found that both conductance fluctuations in the integer quantum Hall transition (IQHT) and orbital-conductance fluctuations in the orbital Hall transition (OHT) display multifractal behavior. We argue that this multifractality is primarily related to disorder, which gives rise to the strong fluctuations that are fingerprints of IQHT and OHT, but is also a consequence of the fact that the nanowire has finite size, which causes a weakening of the multifractality in a certain range of values of disorder strength followed by a new regime of increasing multifractality with increasing disorder strength. Furthermore, our findings indicate that OHT can bring novel insights to future IQHT analysis.
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