Two-hole bound states from a systematic low-energy effective field theory for magnons and holes in an antiferromagnet

Journal Article · Fri Dec 01 00:00:00 EST 2006 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.74.224432· OSTI ID:20853965

Bruegger, C; Kaempfer, F; Moser, M; Wiese, U -J ^[1]; Pepe, M ^[2]

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1. Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, CH-3012 Bern (Switzerland)
2. Istituto Nazionale di Fisica Nucleare and Dipartimento di Fisica, Universita di Milano-Bicocca, 3 Piazza della Scienza, 20126 Milan (Italy)

Identifying 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 ({+-}({pi}/2a),{+-}({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 Schroedinger 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{sub x{sup 2}-y{sup 2}}-like symmetry, while for two holes in the same pocket the symmetry resembles d{sub xy}.

• OSTI ID: 20853965
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 74, Issue 22; Other Information: DOI: 10.1103/PhysRevB.74.224432; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
36 MATERIALS SCIENCE
ANTIFERROMAGNETISM
BOUND STATE
CRYSTAL FIELD
D WAVES
DOPED MATERIALS
GROUND STATES
HIGH-TC SUPERCONDUCTORS
HOLES
HUBBARD MODEL
MAGNONS
NONLINEAR PROBLEMS
NUCLEONS
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
SCHROEDINGER EQUATION
SPIN
SYMMETRY
WAVE FUNCTIONS