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2008 22nd International Symposium on High Performance Computing Systems and Applications
The Variational Cluster Approximation for Hubbard Models:??Practical Implementation
June 09-June 11
ISBN: 978-0-7695-3250-9
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.
Index Terms:
Strongly correlated electrons, Superconductivity, Hubbard model, quantum cluster method, exact diagonalization
Citation:
David S?n?chal, "The Variational Cluster Approximation for Hubbard Models:??Practical Implementation," hpcs, pp.9-15, 2008 22nd International Symposium on High Performance Computing Systems and Applications, 2008
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