Exactly solvable 2D topological Kondo lattice model

Abstract

A spin-$\frac{1}{2}$ Kitaev sublattice interacting with a subsystem of spinless fermions is studied on a honeycomb lattice when the fermion band is half filled. The model Hamiltonian describes a topological Kondo lattice with the Kitaev interaction, it is solved exactly by reduction to free Majorana fermions in a static ${\mathbb{Z}}_2$ gauge field. An yet unsolved problem of a hybridization of fermions and local moments in the Kondo lattice at low temperatures is solved in the framework of the model proposed. The Kondo hybridization gap is opened and the system is fixed in insulator and spin insulator states, due to a spin-fermion nature of the gap. We will show that the hybridization between local moments and itinerant fermions should be understand as hybridization between corresponding Majorana fermions of the spin and charge sectors. The RKKI interaction between local moments is not realized in the model, a system demonstrates a `quasi Kondo' scenario of behavior with realization chiral gapless edge states in topological nontrivial phases. The ground-state phase diagram of the interacting subsystems calculated in the parameter space is rich.

6 pages, 24 figures

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Cited by in corpus (5)

• Spontaneous breaking of time-reversal symmetry in topological insulators
• Electron liquid state in the symmetric Anderson lattice
• Electron liquid state in the spin-1/2 anisotropic Kondo lattice
• Colossal magnetoresistance in topological Kondo insulator
• Giant magnetoresistance of edge current between fermion and spin topological systems