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Hofstadter, D. Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields. You can also search for this author in
(eds. Hofstadter has written, among many others, the following papers: Google Scholar provides a simple way to broadly search for scholarly literature. 1. You can also search for this author in Detection of Landau band coupling induced rearrangement of the Hofstadter butterfly. Phys. Beugeling, W., Goldman, N. & Morais Smith, C. Topological phases in a two-dimensional lattice: magnetic field versus spin-orbit coupling. Since 1988, Hofstadter has been the College of Arts and Sciences Distinguished Professor of Cognitive Science and Comparative Literature at Hofstadter's many interests include music, visual art, the At the University of Michigan and Indiana University, he and The pursuit of beauty has driven Hofstadter both inside and outside his professional work. synthesized the hBN samples. Kuhl, U. Wallbank, J. R., Patel, A. 1. advised on experiments. Nakamura, Y., Inoshita, T. & Sakaki, H. Novel magneto-resistance oscillations in laterally modulated two-dimensional electrons with 20nm periodicity formed on vicinal GaAs (111)B substrates. was supported by DARPA under Office of Naval Research contract N00014-1210814. In two dimensions, electrons moving through a magnetic field also develop a quantized energy spectrum, consisting of highly degenerate Landau energy levels. Merged citations. This "Cited by" count includes citations to the following articles in Scholar. Dean, C. R. et al.
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He admits that "a large fraction [of his audience] seems to be those who are fascinated by technology", but when it was suggested that his work "has inspired many students to begin careers in computing and artificial intelligence" he replied that he was pleased about that, but that he himself has "no interest in computers".In 1988 Dutch director Piet Hoenderdos created a docudrama about Hofstadter and his ideas, Hofstadter was married to Carol Ann Brush until her death. Koshino, M. & Ando, T. Hall plateau diagram for the Hofstadter butterfly energy spectrum.
Upload PDF. Nemec, N. & Cuniberti, G. Hofstadter butterflies of bilayer graphene. Internet Explorer). Their combined citations are counted only for the first article. They met in Bloomington, and married in Ann Arbor in 1985. At various times in his life, he has studied (in descending order of level of fluency reached) German, Russian, Spanish, Swedish, Mandarin, Dutch, Polish, and Hindi.In 1999, the bicentennial year of Russian poet and writer Hofstadter has said that he feels "uncomfortable with the nerd culture that centers on computers". Having in mind electrons in real crystal lattices Hofstadter at his time did not expect experimental verification of the butterfly. Add co-authors Co-authors. You can also search for this author in You can also search for this author in In 1976 Douglas Hofstadter theoretically considered the intersection of these two problems and discovered that 2D electrons subjected to both a magnetic field and a periodic electrostatic potential exhibit a self-similar recursive energy spectrum. One Sunday, at one of our weekly salsa sessions, my friend Frank brought along a … This "Cited by" count includes citations to the following articles in Scholar. Now that goal has been achieved — twice. New articles related to this author's research. In L. Booker, S. Forrest, et al. J.K. and M.I. New articles by this author. Laterally modulated 2D electron system in the extreme quantum limit. Xue, J. et al. Gerhardts, R., Weiss, D. & Wulf, U. Magnetoresistance oscillations in a grid potential: indication of a Hofstadter-type energy spectrum. Harper, P. G. Single band motion of conduction electrons in a uniform magnetic field. Thank you for visiting nature.com. (eds.
Thouless, D., Kohmoto, M., Nightingale, M. & den Nijs, M. Quantized Hall conductance in a two-dimensional periodic potential. New articles by this author. You can also search for this author in To obtain Together with David Moser. FARG models also have an overarching philosophy that all cognition is built from the making of analogies.
This work is supported by AFOSR MURI. In addition to English, his mother tongue, he speaks French and Italian fluently (the language spoken at home with his children is Italian). When subject to both a magnetic field and a periodic electrostatic potential, two-dimensional systems of electrons exhibit a self-similar recursive energy spectrumGet time limited or full article access on ReadCube.Hofstadter, D. Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields.
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