2021-10-20T03:10:50Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000169582021-03-01T17:57:14ZMultisheet configuration space and fractional quantum statistics初貝, 安弘Hatsugai, YasuhiroKohmoto, MahitoWu, Yong-Shiapplication/pdfWe show that if one uses a multisheet configuration space for a system of identical particles, then fractional quantum statistics in two dimensions can be geometrically characterized as a topological quantum number for going from one sheet to the next. Furthermore, the spectrum of such a q-sheet system is shown to consist of the spectra of all species of anyons obeying different fractional statistics θ=2πp/q (p=0,1, . . .,q-1) with the same denominator q. A lattice computation has been done to verify this. Various aspects of the multisheet formalism are discussed.journal articleAmerican Physical Society1992-05application/pdfPhysical review B19451116111165http://hdl.handle.net/2241/1008710163-1829AA00362255https://tsukuba.repo.nii.ac.jp/record/16958/files/PRB_45-19.pdfeng1000103810.1103/PhysRevB.45.11161©1992 The American Physical Society