Albrecht C, Smet JH, Weiss D, Umansky V, Schweizer H
Max-Planck-Institut für Festkörperforschung, D-70569 Stuttgart, Germany.
Phys Rev Lett. 2001 Jan 1;86(1):147-150. doi: 10.1103/PhysRevLett.86.147.
The energy spectrum of a two-dimensional electron system in a perpendicular homogeneous magnetic field and a weak lateral superlattice potential with square symmetry is composed of Landau bands with recursive internal subband structure. The Hall conductance in the minigaps is anticipated to be quantized in integer multiples of e(2)/h that vary erratically from minigap to minigap in accordance with a Diophantine equation. Hall measurements on samples with the requisite properties uncover this long searched for evidence of Hofstadter's butterflylike energy spectrum.
在垂直均匀磁场和具有方形对称性的弱横向超晶格势中的二维电子系统的能谱由具有递归内部子带结构的朗道能带组成。预计在微带隙中的霍尔电导将以e(2)/h的整数倍进行量子化，这些整数倍根据丢番图方程在不同微带隙之间不规则地变化。对具有所需特性的样品进行的霍尔测量揭示了这种长期寻找的霍夫施塔特蝴蝶状能谱的证据。
