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Competition between Superconductivity and Antiferromagnetism in the Extended Hubbard Model
Author(s) -
Mizia J.,
Górski G.,
Kucab K.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200202)229:3<1221::aid-pssb1221>3.0.co;2-b
Subject(s) - antiferromagnetism , condensed matter physics , superconductivity , hubbard model , physics , phase diagram , phase (matter) , quantum mechanics
We investigate a mean‐field theory of the extended Hubbard model for the coexistence of antiferromagnetism (AF) and superconductivity (SC) in high‐temperature homogeneous superconductive materials. We calculate the ordering parameter and the critical temperature as a function of filling. It is concluded that the superconducting state is destroyed when the antiferromagnetic state develops. For weak Coulomb correlation we show that the superconducting d‐wave ordering parameter, which by itself has a maximum in the limit of a half‐filled Hubbard band, goes to zero in the presence of antiferromagnetic ordering. Our phase diagram of antiferromagnetic and d‐wave superconductivity critical temperatures as a function of filling resembles the experimental evidence.