Antiferromagnetic Order in the Hubbard Model: Spin-Charge Rotating Reference Frame Approach |
| T.A. Zaleski and T.K. Kopeć
Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O.B. 1410, 50-950 Wrocław 2, Poland |
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| Received: 6 11 2007; |
| We study the antiferromagnetic phase of three-dimensional Hubbard model with nearest neighbors 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. |
| DOI: 10.12693/APhysPolA.114.247 PACS numbers: 71.10.Fd, 75.10.Jm |