1970
DOI: 10.1103/physrevb.1.3250
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ParamagneticNiCuAlloys: Electronic Density of States in the Coherent-Potential Approximation

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Cited by 238 publications
(64 citation statements)
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“…44 A very important difference between binary-alloy disorder and disorder types with continuous probability distributions is that in the former case in a non-interacting system and in arbitrary lattices the Bloch band is split if ∆ > W 0 . 39,45,46 In this limit two alloy subbands are formed and the system is a band insulator if ν = 2x or ν = 2, where ν is number of fermions per site, or a metal otherwise. In the presence of interaction a Mott insulator at fractional particle filling ν = x or ν = 1 + x is allowed.…”
Section: Anderson-hubbard Model With Binary-alloy Disordermentioning
confidence: 99%
“…44 A very important difference between binary-alloy disorder and disorder types with continuous probability distributions is that in the former case in a non-interacting system and in arbitrary lattices the Bloch band is split if ∆ > W 0 . 39,45,46 In this limit two alloy subbands are formed and the system is a band insulator if ν = 2x or ν = 2, where ν is number of fermions per site, or a metal otherwise. In the presence of interaction a Mott insulator at fractional particle filling ν = x or ν = 1 + x is allowed.…”
Section: Anderson-hubbard Model With Binary-alloy Disordermentioning
confidence: 99%
“…On the other hand, we adopted a diagonal approximation 40,41 to the coherent Green function at the r.h.s. of Eq.…”
Section: Numerical Results Of Excitation Spectramentioning
confidence: 99%
“…From the localization theorem (the HadamardGerschgorin theorem in matrix algebra) it is known that if the Hamiltonian H H is bounded the single-particle spectrum will open a gap for sufficiently large ∆ (7) max(|t|, U ) [5][6][7]. Hence at ∆ = ∆ c the density of states (DOS) splits into a lower and an upper alloy subbands with centers of mass at the ionic energies A and B , respectively.…”
Section: Alloy-band Splitting In the Hubbard Modelmentioning
confidence: 99%