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

Published 30 Jan 2018 in cond-mat.quant-gas, cond-mat.str-el, cond-mat.supr-con, and nucl-th | (1801.10196v2)

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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