Double Exchange Models: Self Consistent Renormalisation

Abstract

We propose a scheme for constructing classical spin Hamiltonians from Hunds coupled spin-fermion models in the limit J_H/t \to \infinity. The strong coupling between fermions and the core spins requires self-consistent calculation of the effective exchange in the model, either in the presence of inhomogeneities or with changing temperature. In this paper we establish the formalism and discuss results mainly on the ``clean'' double exchange model, with self consistently renormalised couplings, and compare our results with exact simulations. Our method allows access to system sizes much beyond the reach of exact simulations, and we can study transport and optical properties of the model without artificial broadening. The method discussed here forms the foundation of our papers Phys. Rev. Lett. 91, 246602 (2003), and Phys. Rev. Lett. 92, 126602 (2004).

11 pages revtex. Final version, to appear in EPJB

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• New Microscopic Magnetic Hamiltonian for Exotic Spin Textures in Metals
• Engineering antiferromagnetic skyrmions and antiskyrmions at metallic interfaces
• Understanding ferromagnetism in Cr-based 3d-5d double perovskites
• Optical signatures of spin symmetries in unconventional magnets
• Effective Hamiltonian based Monte Carlo for the BCS to BEC crossover in the attractive Hubbard model
• Spin-orbital liquids and insulator-metal transitions on the pyrochlore lattice
• Temperature-driven BCS-BEC crossover in a coupled boson-fermion system