Faithful fermionic representations of the Kondo lattice model

Abstract

We study the Kondo lattice model using a class of canonical transformations that allow us to faithfully represent the model entirely in terms of fermions without constraints. The transformations generate interacting theories that we study using mean field theory. Of particular interest is a new manifestly O(3)-symmetric representation in terms of Majorana fermions at half-filling on bipartite lattices. This representation suggests a natural O(3)-symmetric trial state that is investigated and characterized as a gapped spin liquid.

11 pages, 2 figures, minor updates

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Cited by in corpus (7)

• Fractionalized Fermi liquids and exotic superconductivity in the Kitaev-Kondo lattice
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Antiferromagnetic phase of the Kondo-insulator
• Majorana fermion description of the Kondo lattice: Variational and Path integral approach
• Antiferromagnetic Phases of the Kondo Lattice
• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• Ferromagnetism in the one-dimensional Kondo lattice: mean-field approach via Majorana fermion canonical transformation