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An analysis of variational wave function for the pairing problem in strongly correlated system

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, , Citation H.-H. Fan and E. Krotscheck 2018 J. Phys.: Conf. Ser. 1041 012010 DOI 10.1088/1742-6596/1041/1/012010

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eckhardk@buffalo.edu

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1 Department of Physics, University at Buffalo, SUNY Buffalo NY 14260

2 Institut für Theoretische Physik, Johannes Kepler Universität, A 4040 Linz, Austria

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1742-6596/1041/1/012010

Abstract

We report a theoretical analysis of variational wave functions for the BCS pairing problem. Starting with a Jastrow-Feenberg (or, in a more recent language "fixed-node") wave function for the superfluid state, we develop the full optimized Fermi-Hypernetted Chain (FHNC-EL) equations which sum a local approximation of the parquet-diagrams. Close examination of the procedure reveals that it is essential to go beyond the usual Jastrow-Feenberg approximation to guarantee the correct stability range.

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10.1088/1742-6596/1041/1/012010