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Néel order and the destruction of localized magnetic moments in the crossover from the Mott–Heisenberg to the Slater limit
Author(s) -
Kopeć T. K.,
Zaleski T. A.
Publication year - 2013
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/pssb.201200601
Subject(s) - antiferromagnetism , condensed matter physics , physics , heisenberg model , crossover , phase diagram , hubbard model , lattice (music) , quantum mechanics , quantum , phase (matter) , superconductivity , artificial intelligence , computer science , acoustics
We study the antiferromagnetic phase of the three‐dimensional (3D) Hubbard model with nearest‐neighbor hopping on a bipartite cubic lattice. We use the quantum SU(2) × U(1) rotor approach that yields a fully self‐consistent treatment of the antiferromagnetic state that respects the symmetry properties of the model and satisfies the Mermin–Wagner theorem. As our theory describes the evolution from a Slater ( U ≪ t ) to a Mott–Heisenberg ( U ≫ t ) antiferromagnet, we present the phase diagram of the antiferromagnetic Hubbard model as a function of the crossover parameter U / t .