M
Mahito Kohmoto
Researcher at University of Tokyo
Publications - 190
Citations - 12704
Mahito Kohmoto is an academic researcher from University of Tokyo. The author has contributed to research in topics: Magnetic field & Quantum spin Hall effect. The author has an hindex of 40, co-authored 190 publications receiving 11098 citations. Previous affiliations of Mahito Kohmoto include University of Utah & University of California, Santa Barbara.
Papers
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Quantized Hall conductance in a two-dimensional periodic potential
TL;DR: In this article, the Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential, where the Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap.
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Localization Problem in One Dimension: Mapping and Escape
TL;DR: In this paper, a one-dimensional Schrodinger equation in a discontinuous quasiperiodic potential is reduced to a recursion relation for transfer matrices and then to one for traces of these matrices.
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Topological invariant and the quantization of the Hall conductance
TL;DR: In this paper, the topological aspects of wavefunctions for electrons in a two-dimensional periodic potential with a magnetic field are discussed, and the linear response formula for the Hall conductance σxy is shown to be related to the number of zeros in the magnetic Brillouin zone.
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Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal model
TL;DR: The electronic properties of a tight-binding model which possesses two types of hopping matrix element arranged in a Fibonacci sequence are studied and the fractal dimensions f(ae) represents the global scaling properties of the Cantor-set spectrum.
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Localization of optics: Quasiperiodic media.
TL;DR: An experiment to probe the (quasi)localization of the photon is proposed, in which optical layers are constructed following the Fibonacci sequence, which has scaling with respect to the number of layers, as well as an interesting fluctuation.