Hofstadter Butterfly Diagram in Noncommutative Space

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dc.creatorTakahashi, Hidenori
dc.creatorYamanaka, Masanori
dc.date2006-06-18
dc.date2006-06-23
dc.date.accessioned2026-07-07T07:13:40Z
dc.date.available2026-07-07T07:13:40Z
dc.descriptionWe study an energy spectrum of electron moving under the constant magnetic field in two dimensional noncommutative space. It take place with the gauge invariant way. The Hofstadter butterfly diagram of the noncommutative space is calculated in terms of the lattice model which is derived by the Bopp's shift for space and by the Peierls substitution for external magnetic field. We also find the fractal structure in new diagram. Although the global features of the new diagram are similar to the diagram of the commutative space, the detail structure is different from it.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0606168
dc.identifierhttp://arxiv.org/abs/hep-th/0606168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112555
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.titleHofstadter Butterfly Diagram in Noncommutative Space
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