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Cited by 60Topological Materials and PhenomenaAdvanced Condensed Matter PhysicsPhysics of Superconductivity and Magnetism

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

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Seradjeh, B., Weeks, C., Franz, M.·2008·Physical Review B
DOI 10.1103/physrevb.77.033104
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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.

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Crossref · 10.1103/physrevb.77.033104

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  • For a plaquette P pierced by flux ΦP, the sum over all phases around the plaquette must yield eΦP/cħ.

    “In particular, for a plaquette P pierced by the flux Φ P , the sum over all phases around the plaquette must yield e Φ P /c ℏ [2, 3]”

    From Universal Sign Control of Coupling in Tight-Binding Lattices (2016) · cites this paper as [3]

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Related

Authors
Seradjeh, B., Weeks, C., & Franz, M.
Affiliations
University of British Columbia (CA)
ORCID
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2008-01-23
Volume
77
Issue
3
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
DOI
10.1103/physrevb.77.033104
OpenAlex
W2045621532
Cited by
60
References
22
Citations by year
2026: 3 · 2025: 2 · 2022: 9 · 2021: 3 · 2020: 2 · 2019: 6 · 2018: 1 · 2017: 3 · 2016: 3 · 2015: 1 · 2014: 2 · 2013: 1 · 2012: 4
FWCI
3.87
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
Keywords
charge fractionalization, square lattice, time-reversal symmetry, noninteracting electrons, fractional charge, exchange statistics, effective field theory, numerical diagonalization

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