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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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Frustration shapes multi-channel Kondo physics: a star graph perspective.

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Ground state degeneracy in the overscreened multi-channel Kondo (MCK) model is key to understanding non-Fermi liquids (NFLs) and breakdown of screening. This study reveals novel multicritical phases arising from symmetry and duality.

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Area of Science:

  • Quantum Many-Body Physics
  • Condensed Matter Theory
  • Quantum Impurity Models

Background:

  • The multi-channel Kondo (MCK) model describes complex interactions between quantum impurities and conduction electrons.
  • Understanding the role of ground state degeneracy is crucial for predicting system properties.
  • Previous studies often focused on simpler screened or underscreened models.

Purpose of the Study:

  • To investigate the overscreened MCK model using a novel unitary renormalization group technique.
  • To explore the impact of ground state degeneracy on system properties like screening breakdown and non-Fermi liquid behavior.
  • To identify novel quantum phases and transitions in multichannel quantum impurity systems.

Main Methods:

  • Application of the unitary renormalization group technique.
  • Analysis of impurity susceptibility and spectral flow.
  • Investigation of mutual information and ground state entanglement.
  • Extension to other MCK models via duality arguments.

Main Results:

  • Ground state degeneracy is shown to be critical for explaining the breakdown of screening and the emergence of local non-Fermi liquids (NFLs).
  • A power-law divergence in impurity susceptibility and topological quantum numbers in the ground state manifold were observed.
  • Local Mott liquids and local NFLs, including a marginal Fermi liquid in the two-channel case, arise from inter-channel scattering and quantum fluctuations.
  • Quantum phase transitions are identified due to changes in ground state degeneracy under renormalization flow.

Conclusions:

  • The study establishes a template for understanding how degenerate ground states in multichannel quantum impurity models lead to novel multicritical phases.
  • Symmetry and duality play a significant role in generating complex ground state manifolds and emergent phenomena.
  • The findings provide insights into the rich physics of strongly correlated electron systems at intermediate coupling.