Analytic Approximation for Random Binary Alloys on Arbitrary Lattices
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概要
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An analytical and statistically homogeneous cluster theory for elementaryexcitations in disordered systems is developed on the basis of a graphical method inaugmented space. An effective Hamiltonian diagram, preserving the originallattice symmetry and including all overlapping cluster scattering effects, is con-structed. The expression for the averaged one-particle Green's function, whichcorresponds to an interpolation formula connecting between weak and strongscattering and exhibits a momentum-dependent self-energy, is obtained from thatdiagram by introducing a Bethe lattice approximation. Calculations of the densityof states and the spectral function for simple cubic lattices are presented, andshow a better fit to exact numerical results than the single-site coherent potentialapproximation.
- 社団法人日本物理学会の論文
- 1985-09-15
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