The recursion and renormalization methods have emerged as precious tools for treating a variety of electronic systems, when their complexity is so high to prevent direct diagonalization of the corresponding Hamiltonian. The two formalisms, introduced in the literature in independent contexts, are here shown to be algebraically equivalent. Moreover the discussion of their foundation is completed by a brief historical overview of other closely related methods: the Lanczos method, the moment method, the Mori method, and the equation of motion method. Finally we consider a number of detailed applications of the recursion and renormalization methods, and their perspectives in the electronic structure of lattices, superlattices, surfaces and coupled electron-phonon systems.

RECURSION AND RENORMALIZATION METHODS IN THE ELECTRONIC-STRUCTURE OF SOLIDS

GROSSO, GIUSEPPE;
1989

Abstract

The recursion and renormalization methods have emerged as precious tools for treating a variety of electronic systems, when their complexity is so high to prevent direct diagonalization of the corresponding Hamiltonian. The two formalisms, introduced in the literature in independent contexts, are here shown to be algebraically equivalent. Moreover the discussion of their foundation is completed by a brief historical overview of other closely related methods: the Lanczos method, the moment method, the Mori method, and the equation of motion method. Finally we consider a number of detailed applications of the recursion and renormalization methods, and their perspectives in the electronic structure of lattices, superlattices, surfaces and coupled electron-phonon systems.
Grosso, Giuseppe; Moroni, S; PASTORI PARRAVICINI, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/16010
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