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ToTightbinding

ResponseFunction.ToTightbinding(G) transforms a response function object to a tight binding object that, when solved, has the response function $G$ as its one particle Green's function.

Depending on the representation used for the response function (Tridiagonal, Anderson, or Natural impurity orbitals) one finds a different layout of the tight binding Hamiltonian that it represents. Transformations between the different layouts are given by unitary basis transformations. In all cases the dimension of the sites, i.e. the number of quantum degrees of freedom per site such as spin-orbitals, is given by the BlockSize of the response function. The tridiagonal representation of the response function maps to a tight binding model of a one dimensional chain. The Anderson representation of the response function maps to a single impurity interacting with many bath sites that do not interact with each other. The natural impurity representation maps to an impurity that interacts with a single bath site (the extended bath site). The impurity and extended bath then interact both with two separate chains of bath states, one related to the valence bath and one to the conduction bath.

Tri-diagonal representation

Example

description text

Input

Example.Quanty
-- some example code

Result

text produced as output

Table of contents

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