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Volumn 59, Issue 1, 1999, Pages 85-88

Low-energy spectral density for the alexander-anderson model

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EID: 16444373611     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.85     Document Type: Article
Times cited : (10)

References (23)
  • 13
    • 33744622751 scopus 로고
    • J. Phys. Soc. Jpn.O. SakaiY. Shimizu61, 2348 (1992);
    • (1992) , vol.61 , pp. 2348
    • Sakai, O.1    Shimizu, Y.2
  • 22
    • 85038907565 scopus 로고    scopus 로고
    • The cost of an iterative diagonalization grows rapidly with the number (Formula presented) of eigenstates kept in each iteration. In a given iteration (Formula presented) fixing (Formula presented) truncates the spectrum of the Hamiltonian at the energy (Formula presented) where (Formula presented) is the degeneracy of a conduction level, and (Formula presented) the halfwidth of the structureless, half-filled band. The relative error in the calculated densities (Formula presented) (where (Formula presented)) predicted by perturbation theory is (Formula presented) While the earlier calculations, carried out with (Formula presented) and (Formula presented) yielded 10% deviations (Ref. 6), ours, with (Formula presented) and (Formula presented) yielded less than 1%
    • The cost of an iterative diagonalization grows rapidly with the number (Formula presented) of eigenstates kept in each iteration. In a given iteration (Formula presented) fixing (Formula presented) truncates the spectrum of the Hamiltonian at the energy (Formula presented) where (Formula presented) is the degeneracy of a conduction level, and (Formula presented) the halfwidth of the structureless, half-filled band. The relative error in the calculated densities (Formula presented) (where (Formula presented)) predicted by perturbation theory is (Formula presented) While the earlier calculations, carried out with (Formula presented) and (Formula presented) yielded 10% deviations (Ref. 6), ours, with (Formula presented) and (Formula presented) yielded less than 1%.


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