Work

Fractionalization in a square-lattice model with time-reversal symmetry

Year: 2008
Type: article
Abstract: We propose a two-dimensional time-reversal invariant system of essentially noninteracting electrons on a square lattice that exhibits configurations with fractional charges $\ifmmode\pm\else\textpm\fi{}e∕2$. These are vortexlike topological defects in the dimerization order parameter describing spatial modulation in the electron hopping amplitudes. Charge fractionalization is established by a simple counting argument, analytical calculation within the effective low-energy theory, and by an exact numerical diagonalization of the lattice Hamiltonian. We comment on the exchange statistics of fractional charges and possible realizations of the system.
Language: English
Open Access status: green
OpenAlex ID: W2045621532
FWCI: 4.363
Cites: 22
Cited by: 62
Related to: 10