TY - GEN
T1 - The localization and the quantum Hall effect on the Hofstadter butterfly
AU - Koshino, Mikito
AU - Ando, Tsuneya
PY - 2005/6/30
Y1 - 2005/6/30
N2 - Motivated by the recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional (2D) electron system with disorder to study the localization. Remarkably we find that one subband can contain more than two critical energies where the states are extended, which suggests the existence of the Hall plateau in the middle of the band. We also show that we can change the number of the critical energies introducing the anisotropy of the periodic potential, which is expected to be feasible in a real experiment.
AB - Motivated by the recent experimental attempts to detect the Hofstadter butterfly, we numerically calculate the Hall conductivity in a modulated two-dimensional (2D) electron system with disorder to study the localization. Remarkably we find that one subband can contain more than two critical energies where the states are extended, which suggests the existence of the Hall plateau in the middle of the band. We also show that we can change the number of the critical energies introducing the anisotropy of the periodic potential, which is expected to be feasible in a real experiment.
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U2 - 10.1063/1.1994219
DO - 10.1063/1.1994219
M3 - Conference contribution
AN - SCOPUS:33749480348
SN - 0735402574
SN - 9780735402577
T3 - AIP Conference Proceedings
SP - 537
EP - 538
BT - PHYSICS OF SEMICONDUCTORS
T2 - PHYSICS OF SEMICONDUCTORS: 27th International Conference on the Physics of Semiconductors, ICPS-27
Y2 - 26 July 2004 through 30 July 2004
ER -