Ferromagnetic spin-polaron on complex lattices

Abstract

We present a simpler derivation of the exact solution of a spin-polaron in a ferromagnet and generalize it to complex lattices and/or longer range exchange interactions. As a specific example, we analyze a two-dimensional MnO${}_2$-like lattice (as in the ferromagnetic layers in LaMnO${}_3$) and discuss the properties of the resulting spin-polaron in various regimes. At strong couplings the solution is reminiscent of the Zhang-Rice singlet, however the electronic wavefunction involved in the singlet is dependent on the momentum of the singlet, and multiple bands may appear.

12 pages, 7 figures

References in corpus (2)

• The Green's Function of the Holstein Polaron
• Systematic improvement of the Momentum Average approximation for the Green's function of a Holstein polaron

Cited by in corpus (10)

• An all-coupling theory for the Fröhlich polaron
• New theoretical approaches to Bose polarons
• Magnon-mediated interactions between fermions depend strongly on the lattice structure
• Microscopic Model versus Systematic Low-Energy Effective Field Theory for a Doped Quantum Ferromagnet
• The role of the lattice structure in determining the magnon-mediated interactions between charge carriers doped into a magnetically ordered background
• Exact spectral function for hole-magnon coupling in the ferromagnetic CuO${}_3$-like chain
• Exact results on the Kondo-lattice magnetic polaron
• Low-temperature evolution of the spectral weight of a spin-up carrier moving in a ferromagnetic background
• Local environment effects on a charge carrier injected into an Ising chain
• Quantum versus classical polarons in a ferromagnetic CuO${}_3$-like chain