Kondo screening in a magnetically frustrated nanostructure: Exact results on a stable, non-Fermi-liquid phase

Abstract

Triangular symmetry stabilizes a novel non-Fermi-liquid phase in the three-impurity Kondo model with frustrating antiferromagnetic interactions between half-integer impurity spins. The phase arises without fine-tuning of couplings, and is stable against magnetic fields and particle-hole symmetry breaking. We find a conformal field theory describing this phase, verify it using the numerical renormalization group, and extract various exact, universal low-energy properties. Signatures predicted in electrical transport may be testable in scanning tunneling microscopy or quantum-dot experiments.

arXiv comment4 pages, published version (shortened, minor corrections)

References in corpus (11)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• Kondo physics in carbon nanotubes
• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• Transition between Quantum States in a Parallel-Coupled Double-Quantum-Dot
• Kondo effect and spin filtering in triangular artificial atoms
• Correlated adatom trimer on metal surface: A continuous time quantum Monte Carlo study
• Exotic Kondo effect from magnetic trimers
• Surprises in the phase diagram of an Anderson impurity model for a single C${}_{60}^{n-}$ molecule
• Dynamical and point symmetry of the Kondo effect in triangular quantum dot

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