Fermionic multichannel dynamical large<i>-N</i> approach to Kondo lattice model

We establish a novel theoretical framework to study the quantum phases and phase transitions of a two- dimensional Kondo Heisenberg lattice model based on the dynamical large-N approach to the multichannel pseudofermion representation of the model with Sp(N) × SU(K) symmetry with N and K being number of spin flavors and Kondo screening channels, respectively. This approach captures the heavy electron Fermi liquid state when SU(K) symmetry is broken with Kondo hybridization in terms of Bose-condensed holons, and a spin-liquid metallic state with gaped fermionic spinons when the anti-ferromagnetic coupling dominates. A self-consistent Green’s function method is used. The global phase diagram and the thermodynamic properties of the spin liquid state share close resemblance to CePdAl, a heavy-fermion systems with magnetic frustration.