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Dynamical nonlocal coherent-potential approximation for itinerant electron magnetism.

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This study introduces a dynamical approach to the nonlocal coherent-potential approximation, revealing the crucial role of dynamical correlations in forming local magnetic moments in interacting electron systems.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • The nonlocal coherent-potential approximation (NCPA) is a key method for studying disordered electron systems.
  • Understanding the formation of local magnetic moments is crucial for designing magnetic materials.

Purpose of the Study:

  • To develop a dynamical generalization of the NCPA using the functional integral approach.
  • To investigate the influence of nonlocal physics on local moment formation in a model system.

Main Methods:

  • Derivation of a dynamical generalization of the NCPA.
  • Application of the functional integral approach to interacting electrons.
  • Variational proof of free energy with respect to self-energy under cluster self-consistency.
  • Static approximation calculations for model systems.

Main Results:

  • The free energy is shown to be variational under specific self-consistency conditions.
  • Nonlocal physics significantly impacts the formation of local moment states.
  • Dynamical correlations are essential for accurately describing these phenomena.

Conclusions:

  • The developed dynamical NCPA provides a more comprehensive framework for studying electron correlations.
  • The findings highlight the importance of including dynamical effects in theoretical models of magnetism.