2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193005We 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. These excitations can be deconfined at zero temperature, but when they are, the charge re-rationalizes to the value 1/2 and the exchange statistics to that of "quartons" (half-semions).4 pages, 2 figuresStrongly Correlated ElectronsMesoscale and Nanoscale PhysicsHigh Energy Physics - TheoryMathematical Physicstext