Three-body correlations in the Nagaoka state on the square lattice

Abstract

A three-body scattering theory previously proposed by one of the present authors is developed to be applied to the saturated ferromagnetic state in the two-dimensional Hubbard model. The single-particle Green's function is calculated by taking account of the multiple scattering between two electrons and one hole. Several limiting cases are discussed and the relation to the variational principle is examined. The importance of the three-body correlation is demonstrated in comparison with the results of the ladder approximation. A possible phase boundary for the Nagaoka ground state is presented for the square lattice, which improves the previous variational results.

13 pages, 8 Postscript figures, submitted to Phys.Rev.B

References in corpus (1)

• Lattice dependence of saturated ferromagnetism in the Hubbard model

Cited by in corpus (4)

• Three--body Correlation Effects on the Spin Dynamics of Double--Exchange Ferromagnets
• Magnetization Relaxation and Collective Spin Excitations in Correlated Double--Exchange Ferromagnets
• Nonlinear Optical studies of the Transient Coherence in the Quantum Hall System
• Ferromagnetic instability in itinerant fcc lattice electron systems with higher order van Hove singularities: Functional renormalization group study