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EDIpack: A parallel exact diagonalization package for quantum impurity problems

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arxiv 2105.06806 v3 pith:FFP3YOPC submitted 2021-05-13 physics.comp-ph cond-mat.str-el

classification physics.comp-phcond-mat.str-el
keywords packagealgorithmdiagonalizationedipackexactimpurityparallelproblems
verification ladder T0 review T1 audit T2 compute T3 formal
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We present EDIpack, an exact diagonalization package to solve generic quantum impurity problems. The algorithm includes a generalization of the look-up method introduced in [Lin, Gubernatis Comput. Phys., 7 (4) (1993), 400] and enables a massively parallel execution of the matrix-vector linear operations required by Lanczos and Arnoldi algorithms. We show that a suitable Fock basis organization is crucial to optimize the inter-processors communication in a distributed memory setup and to reach sub-linear scaling in sufficiently large systems. We discuss the algorithm in details indicating how to deal with multiple orbitals and electron-phonon coupling. Finally, we outline the download, installation and functioning of the package.

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