Frontiers of Physics

, 13:137306 | Cite as

Evolution of individual quantum Hall edge states in the presence of disorder

  • Kai-Tong Wang
  • Fuming Xu
  • Yanxia Xing
  • Hong-Kang Zhao
Research Article


By using the Bloch eigenmode matching approach, we numerically study the evolution of individual quantum Hall edge states with respect to disorder. As demonstrated by the two-parameter renormalization group flow of the Hall and Thouless conductances, quantum Hall edge states with high Chern number n are completely different from that of the n = 1 case. Two categories of individual edge modes are evaluated in a quantum Hall system with high Chern number. Edge states from the lowest Landau level have similar eigenfunctions that are well localized at the system edge and independent of the Fermi energy. On the other hand, at fixed Fermi energy, the edge state from higher Landau levels exhibit larger expansion, which results in less stable quantum Hall states at high Fermi energies. By presenting the local current density distribution, the effect of disorder on eigenmode-resolved edge states is distinctly demonstrated.


quantum Hall edge states Landau level quantum phase transition 



This work was financially supported by the National Natural Science Foundation of China (Grant Nos. 11674024 and 11504240). F. Xu acknowledges support from Shenzhen Key Lab Fund (Grant No. ZDSYS 20170228105421966).


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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of PhysicsBeijing Institute of TechnologyBeijingChina
  2. 2.Shenzhen Key Laboratory of Advanced Thin Films and Applications, College of Physics and EnergyShenzhen UniversityShenzhenChina
  3. 3.Beijing Key Laboratory of Nanophotonics and Ultrafine Optoelectronic Systems, School of PhysicsBeijing Institute of TechnologyBeijingChina

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