Irrational vs. rational charge and statistics in two-dimensional quantum systems

Details Irrational vs. rational charge and statistics in two-dimensional quantum systems Irrational vs. rational charge and statistics in two-dimensional quantum systems

2007-07-02

arxiv.org/abs/0707.0293v3

Phys.Rev.Lett.100:110405,2008

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.100.110405

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. 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).

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