Various Fermi liquid phases on the Kondo - Heisenberg model at quarter filling

Motivated by exotic phases emerged from Kondo insulators, we study transport properties of electronic system under Kondo and Heisenberg interactions. Particularly, we focus on the Kondo - AF (antiferromagnetic) Heisenberg model on a honeycomb lattice at quarter filling. By using parton mean-field theory, we construct generic mean-field phase diagram and investigate distinct Fermi liquid phases. In strong Kondo coupling limit, due to quarter filling condition, half of localized moments form Kondo singlet and the others develop triangular lattice with AF Heisenberg interaction which yields spin liquid phase. To investigate the low-energy excitation properties, we evaluate transport coefficients of mobile electrons and fractionalized quasiparticles respectively. Even though mobility of charge carriers is suppressed, Fermi liquid behavior is veried arose from neutral low-energy excitations.