Strongly correlated electrons on frustrated lattices

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dc.creatorFulde, Peter
dc.creatorPollmann, Frank
dc.creatorRunge, Erich
dc.date2008-10-07
dc.date2008-10-20
dc.date.accessioned2026-07-07T10:11:25Z
dc.date.available2026-07-07T10:11:25Z
dc.descriptionWe give an overview of recent work on charge degrees of freedom of strongly correlated electrons on geometrically frustrated lattices. Special attention is paid to the checkerboard lattice, i.e., the two-dimensional version of a pyrochlore lattice and to the kagome lattice. For the checkerboard lattice it is shown that at half filling when spin degrees of freedom are neglected and quarter filling when they are included excitations with fractional charges $\pm$e/2 may exist. The same holds true for the three-dimensional pyrochlore lattice. In the former case the fractional charges are confined. The origin of the weak constant confining force is discussed and some similarities to quarks and to string theory are pointed out. For the checkerboard lattice a formulation in terms of a compact U(1) gauge theory is described. Furthermore a new kinetic mechanism for ferromagnetism at special fillings of a kagome lattice is discussed.
dc.description13 Pages, new references added, minor corrections, http://ijpr.iut.ac.ir/magazine.php?magazine=ijpr&jyear=1387&gyear=2008&vol=8&no=2
dc.identifierhttps://arxiv.org/abs/0810.1078
dc.identifierhttp://arxiv.org/abs/0810.1078
dc.identifierIranian Journal of Physics Research, vol. 8, no. 2 (2008) 13-24
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171860
dc.subjectStrongly Correlated Electrons
dc.titleStrongly correlated electrons on frustrated lattices
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