The Variational Cluster Approximation for Hubbard Models:  Practical Implementation

The Variational cluster approximation (VCA) is an approximate method for finding properties the Hubbard model, the basic model used in the study of strongly correlated electron systems. Such systems include, for instance, high-temperature and organic superconductors. The method involves solving exac...

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Bibliographic Details
Published in2008 22nd International Symposium on High Performance Computing Systems and Applications pp. 9 - 15
Main Author Senechal, D.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2008
Subjects
Antiferromagnetic materials
Electrons
exact diagonalization
Frequency
High performance computing
High temperature superconductors
Hubbard model
Lattices
Physics
Prototypes
Quantization
quantum cluster method
Quantum mechanics
Strongly correlated electrons
Superconductivity
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ISBN0769532500
9780769532509
ISSN1550-5243
DOI10.1109/HPCS.2008.18

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Summary:The Variational cluster approximation (VCA) is an approximate method for finding properties the Hubbard model, the basic model used in the study of strongly correlated electron systems. Such systems include, for instance, high-temperature and organic superconductors. The method involves solving exactly the Hubbard model on a small cluster of lattice sites, after adding fields that represent the effect of the cluster's environment. We present an outline of the method and describe its implementation. In particular, we show how to efficiently carry frequency- wavevector integrals that are central to the method.
ISBN:0769532500
9780769532509
ISSN:1550-5243
DOI:10.1109/HPCS.2008.18