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We show that quasiparticle excitations with irrational charge and irrational exchange statistics exist in tight-biding systems described, in the continuum approximation, by the Dirac equation in (2+1)-dimensional space and time.
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R. Jackiw and S.-Y. Pi, Phys. Rev. Lett. 98
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For a numerical study of the case μ s = 0 \mu^{\ }_{\mathrm{s}}=0 and Φ 5 = 0 \Phi^{\ }_{5}=0 , see B. Seradjeh, C. Weeks, and M. Franz, Phys. Rev. B 77
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