${\mathbb{Z}}_2$ metallic spin liquid on a frustrated Kondo lattice

Abstract

Metallic spin liquid has been reported in several correlated metals, but a satisfactory theoretical description is not yet available. Here we propose a potential route to realize the metallic spin liquid and construct an effective ${\mathbb{Z}}_2$ gauge theory with charged fractionalized excitations on the triangular Kondo lattice. This leads to a ${\mathbb{Z}}_2$ metallic spin liquid featured with long-lived, heavy holon excitations of spin 0 and charge $+e$ and a partially enlarged electron Fermi surface. It differs from the weak-coupling FL${}^{\ast }$ state proposed earlier and may be viewed as a fractionalized heavy fermion liquid. Our theory provides a general framework to describe the metallic spin liquid in frustrated Kondo lattice systems.

13 pages, 8 figures

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• An emerging global picture of heavy fermion physics
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Towards Entanglement Entropy of Random Large-N Theories
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice