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Spin‐wave renormalization by mobile holes in a two‐dimensional quantum antiferromagnet
Author(s) -
Krier Georges,
Meissner Günther
Publication year - 1993
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19935050807
Subject(s) - physics , condensed matter physics , antiferromagnetism , renormalization , hamiltonian (control theory) , square lattice , hubbard model , superconductivity , spin (aerodynamics) , coulomb , quantum mechanics , ising model , electron , mathematical optimization , mathematics , thermodynamics
The coupling of antiferromagnetic spin excitations and propagating holes has been studied theoretically on a square lattice in order to investigate the dependence of antiferromagnetic order on hole doping, being of relevance, e.g., for the Cu–3 d 9 system in antiferromagnetic CuO 2 ‐planes of high‐ T c superconductors. An effective Hamiltonian has been used, which results from a 2D Hubbard model (hopping integral t ) with holes and with strong on‐site Coulomb repulsion U . Bare antiferromagnetic excitations and holes with energies of the same order of magnitude t 2 / U are interacting via a coupling term being proportional to t and allowing holes to hop by emitting and absorbing spinwaves. In terms of a self‐consistent one‐loop approximation the renormalization of the spectral function both of holes and antiferromagnetic spin excitations are calculated.

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