2024-03-29T11:54:32Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/56502022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Floating of extended states in a random magnetic field with a finite mean1000040200480Yakubo, K.矢久保, 考介open accessCopyright © 2003 American Physical Society427Effects of a uniform magnetic field on two-dimensional (2D) electrons subject to a random magnetic field (RMF) are studied by a multifractal scaling analysis. For sufficiently strong uniform field (B¯ ≫ δb), the RMF system is equivalent to a quantum Hall system (QHS), namely, the spectral density of states splits into subbands, and states only at the subband centers are extended with the localization-length exponent v=2.31±0.01, where B¯ is the averaged magnetic field and d b is the characteristic amplitude of the spatially fluctuating field. In the case of B¯≲δb , subbands overlap each other and energies of extended states shift upwards with keeping its universality class. This behavior conflicts with a recent theoretical prediction and demonstrates that 2D systems in RMF's even with small finite means are rather close to QHS's.The American Physical Society2000-12-15engjournal articleVoRhttp://hdl.handle.net/2115/5650http://www.aps.org/https://doi.org/10.1103/PhysRevB.62.167560163-1829PHYSICAL REVIEW B62241675616760https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/5650/1/PRB62-24.pdfapplication/pdf293.02 KB2000-12-15