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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Theory

Background:

  • The overscreened multi-channel Kondo impurity model describes complex electronic interactions.
  • BCS pairing introduces a superconducting gap (Δ) that competes with impurity effects.

Purpose of the Study:

  • Investigate the impact of BCS pairing on the non-Fermi-liquid properties of the overscreened Kondo model.
  • Analyze the low-energy spectrum and excitations in the presence of a finite gap.

Main Methods:

  • Renormalization group flow analysis.
  • Examination of the low-energy spectrum and density of states.
  • Study of sub-gap excitations and boundary entropy.

Main Results:

  • The low-energy spectrum at Δ → 0 differs from the Δ = 0 spectrum.
  • Fractionalized spin-1/2 sub-gap excitations emerge with universal energy ratios.
  • Non-Fermi-liquid features include lack of coherence peaks and unconventional continuum states.

Conclusions:

  • The persistent sub-gap excitations are a hallmark of the non-Fermi-liquid fixed point.
  • The superconducting gap modifies the universal behavior of the Kondo model.
  • Results offer insights into quantum criticality and emergent phenomena in strongly correlated systems.