Kondo physics in the algebraic spin liquid

Abstract

We study Kondo physics in the algebraic spin liquid, recently proposed to describe $ZnC{u}_3(OH{)}_{6}C{l}_2$ [Phys. Rev. Lett. {\bf 98}, 117205 (2007)]. Although spin dynamics of the algebraic spin liquid is described by massless Dirac fermions, this problem differs from the Pseudogap Kondo model, because the bulk physics in the algebraic spin liquid is governed by an interacting fixed point where well-defined quasiparticle excitations are not allowed. Considering an effective bulk model characterized by an anomalous critical exponent, we derive an effective impurity action in the slave-boson context. Performing the large-$N_{\sigma }$ analysis with a spin index $N_{\sigma }$, we find an impurity quantum phase transition from a decoupled local-moment state to a Kondo-screened phase. We evaluate the impurity spin susceptibility and specific heat coefficient at zero temperature, and find that such responses follow power-law dependencies due to the anomalous exponent of the algebraic spin liquid. Our main finding is that the Wilson's ratio for the magnetic impurity depends strongly on the critical exponent in the zero temperature limit. We propose that the Wilson's ratio for the magnetic impurity may be one possible probe to reveal criticality of the bulk system.

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Cited by in corpus (11)

• The Physics of Kondo Impurities in Graphene
• Experimental signatures of quantum and topological states in frustrated magnetism
• Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
• Magnetic impurity in a $U(1)$-Spin Liquid with a Spinon Fermi-Surface
• Magnetic Impurity as a Local Probe of the U(1) Quantum Spin Liquid with Spinon Fermi Surface
• Quantum phase transitions and thermodynamics of the power-law Kondo model
• $\mu$SR Insight into the Impurity Problem in Quantum Kagome Antiferromagnets
• Spinon-Phonon Interaction in Algebraic Spin Liquids
• Critical quasiparticles in single-impurity and lattice Kondo models
• Edge modes and boundary impurities in the anisotropic Heisenberg spin chain
• Overscreened Kondo fixed point in S=1 spin liquid