Coherence in the Two Kondo Impurity Problem

2006/07/17 by Lijun Zhu, C. M. Varma, Zhu, Lijun +1
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.cond-mat/0607426

openalex publication_date 2006/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show through a perturbative and an exact calculation using Wilson's renormalization methods that in the problem of two interacting Kondo impurities, on-site potential scattering generates a quantum-tunneling between the two impurities through a marginally relevant operator. The magnitude of this tunneling V₁₂ depends on the spin-correlation between the two impurities. For exchange interactions between the moments comparable to the Kondo energy T_K, V₁₂ is typically much larger than T_K. This implies that the heavy-fermion mass in this interesting range is determined by V₁₂ rather than T_K. The importance of these results for experiments in coupled Kondo dots is also pointed out.

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