The shape of disorder broadened Landau subbands in graphene
W. Zhu, Q. W. Shi, X. R. Wang, J. Chen, J. G. Hou
TL;DR
This paper numerically investigates how disorder affects the Landau levels in graphene, revealing a Gaussian broadening of the zero-energy Landau band with specific dependencies on disorder strength and magnetic field.
Contribution
It provides a detailed numerical analysis of the DOS in disordered graphene under high magnetic fields, confirming Gaussian broadening and its scaling behavior.
Findings
Zero-energy Landau band has Gaussian shape
Width proportional to disorder variance and square root of magnetic field
Wegner-type calculation supports numerical results
Abstract
Density of states (DOS) of graphene under a high uniform magnetic field and white-noise random potential is numerically calculated. The disorder broadened zero-energy Landau band has a Gaussian shape whose width is proportional to the random potential variance and the square root of magnetic field. Wegner-type calculation is used to justify the results.
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