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Cavity-mediated electron hopping in disordered quantum Hall systems
Physical Review B ( IF 3.7 ) Pub Date : 2021-10-26 , DOI: 10.1103/physrevb.104.155307
Cristiano Ciuti

We investigate the emergence of long-range electron hopping mediated by cavity vacuum fields in disordered quantum Hall systems. We show that the counter-rotating (antiresonant) light-matter interaction produces an effective hopping between disordered eigenstates within the last occupied Landau band. The process involves a number of intermediate states equal to the Landau degeneracy: each of these states consists of a virtual cavity photon and an electron excited in the next Landau band with the same spin. We study such a cavity-mediated hopping mechanism in the dual presence of a random disordered potential and a wall potential near the edges, accounting for both paramagnetic coupling and diamagnetic renormalization. We determine the cavity-mediated scattering rates, showing the impact on both bulk and edge states. The effect for edge states is shown to increase when their energy approaches the disordered bulk band, while for higher energy, the edge states become asymptotically free. We determine the scaling properties while increasing the Landau band degeneracy. Consequences on the quantum Hall physics and future perspectives are discussed.

中文翻译:

无序量子霍尔系统中的腔介导电子跳跃

我们研究了无序量子霍尔系统中由空腔真空场介导的远程电子跳跃的出现。我们表明,反向旋转(反共振)光-物质相互作用在最后占据的朗道带内的无序本征态之间产生有效跳跃。该过程涉及许多与朗道简并相等的中间态:这些态中的每一个都由一个虚拟腔光子和一个在下一个朗道带中激发的具有相同自旋的电子组成。我们在随机无序电位和边缘附近的壁电位的双重存在下研究了这种腔介导的跳跃机制,解释了顺磁耦合和抗磁重整化。我们确定了腔介导的散射率,显示了对体态和边缘态的影响。当边缘态的能量接近无序体带时,边缘态的影响会增加,而对于更高的能量,边缘态变得渐近自由。我们在增加朗道带简并性的同时确定缩放特性。讨论了量子霍尔物理学的后果和未来的前景。
更新日期:2021-10-26
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