Incoherent transport on the ν=2/3 quantum Hall edge

摘要: The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization conductance. Since then, there have many developments study states effect, including prediction multiple counter-propagating modes fractional regime, mode renormalization due to disorder, and studies how sample confining potential affects structure (edge reconstruction), among others. In this paper, we $\nu_{\text{bulk}}=2/3$ disordered, fully incoherent regime. To do so, use a hydrodynamic approximation calculation voltage temperature profiles along sample. Within formalism, two different bare structures with tunneling: original predicted by Wen [2] MacDonald [3], more complicated proposed Meir [4], whose characteristics were discussed Wang, Gefen (WMG) [5]. We find that topological (quantized electrical heat conductance) are intact, finite size corrections which determined extent equilibration. particular, our conductance WMG model double QPC geometry reproduce results recent experiment R. Sabo, et al. [17], inconsistent MacDonald. Our can be explained charge/neutral picture, analogues fixed points Ref. Additionally, diffusive $(\sim1/L)$ conductivity regime both models edge.