Open AccessMagnetic field independent shape of the zero-energy landau levels in a disordered T3 model
Author(s) -
Zun Yang,
Weiwei Chen,
Qunxiang Li,
Qinwei Shi
Publication year - 2019
Publication title -
new journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.584
H-Index - 190
ISSN - 1367-2630
DOI - 10.1088/1367-2630/ab2bb4
Subject(s) - physics , condensed matter physics , landau quantization , magnetic field , scaling , degeneracy (biology) , lanczos resampling , density of states , lattice (music) , zero (linguistics) , zero point energy , quantum mechanics , bioinformatics , linguistics , eigenvalues and eigenvectors , geometry , mathematics , philosophy , acoustics , biology
Using the Lanczos recursion method, we exactly determine the shape of the zero-energy Landau level (LL) in a disordered T 3 lattice under a strong magnetic field. We discover that the shape of the zero-energy LL depends on the distribution of disorder, but is independent of magnetic field strength. Our analytical study attributes this intriguing behavior to the macroscopic and magnetic field independent degeneracy owing to the existence of the flat band. Moreover, our simulations unravel that the density of states obeys an unconventional scaling law, leading to the fact that the relation between the magnetoconductivity and the carrier density is independent of the disorder strength.