Quantum Impurity in a Nearly Critical Two Dimensional Antiferromagnet

Abstract

We describe the spin dynamics of an arbitrary localized impurity in an insulating two dimensional antiferromagnet, across the host transition from a paramagnet with a spin gap to a Neel state. The impurity spin susceptibility has a Curie-like divergence at the quantum-critical coupling, but with a universal, effective spin which is neither an integer nor a half-odd-integer. In the Neel state, the transverse impurity susceptibility is a universal number divided by the host spin stiffness (which determines the energy cost to slow twists in the orientation of the Neel order). These, and numerous other results for the thermodynamics, Knight shift, and magnon damping have significant applications to experiments on layered transition metal oxides.

12 pages, 3 figures; Additional details and results are in cond-mat/9912020

References in corpus (6)

• Spin-Vacancy-Induced Long-Range Order in a New Haldane-Gap Antiferromagnet
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• The Screening Cloud in the k-Channel Kondo Model: Perturbative and Large-k Results
• Effect of Nonmagnetic Impurities on the Magnetic Resonance Peak in YBa2Cu3O7
• Scaling Properties of Antiferromagnetic Transition in Coupled Spin Ladder Systems Doped with Nonmagnetic Impurities
• Quantum magnetism in the stripe phase: bond- versus site order

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