Hofstadter Butterfly Diagram in Noncommutative Space

Details Hofstadter Butterfly Diagram in Noncommutative Space Hofstadter Butterfly Diagram in Noncommutative Space

2006-06-18

arxiv.org/abs/hep-th/0606168v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures

Scientific paper

We 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.

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