Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet

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dc.creatorBrügger, C.
dc.creatorKämpfer, F.
dc.creatorMoser, M.
dc.creatorPepe, M.
dc.creatorWiese, U. -J.
dc.date2006-06-29
dc.date.accessioned2026-07-07T10:24:14Z
dc.date.available2026-07-07T10:24:14Z
dc.descriptionIdentifying the correct low-energy effective theory for magnons and holes in an antiferromagnet has remained an open problem for a long time. In analogy to the effective theory for pions and nucleons in QCD, based on a symmetry analysis of Hubbard and t-J-type models, we construct a systematic low-energy effective field theory for magnons and holes located inside pockets centered at lattice momenta (\pm pi/2a,\pm pi/2a). The effective theory is based on a nonlinear realization of the spontaneously broken spin symmetry and makes model-independent universal predictions for the entire class of lightly doped antiferromagnetic precursors of high-temperature superconductors. The predictions of the effective theory are exact, order by order in a systematic low-energy expansion. We derive the one-magnon exchange potentials between two holes in an otherwise undoped system. Remarkably, in some cases the corresponding two-hole Schrödinger equations can even be solved analytically. The resulting bound states have d-wave characteristics. The ground state wave function of two holes residing in different hole pockets has a d_{x^2-y^2}-like symmetry, while for two holes in the same pocket the symmetry resembles d_{xy}.
dc.description35 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0606766
dc.identifierhttp://arxiv.org/abs/cond-mat/0606766
dc.identifierPhys.Rev.B74:224432,2006
dc.identifierdoi:10.1103/PhysRevB.74.224432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176115
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTwo-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
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