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Extending the Gutzwiller approximation for liquid 3 He by including intersite correlations
Author(s) -
Müller D.,
Pilgram S.,
Rice T.M.,
Sigrist M.
Publication year - 2011
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201100023
Subject(s) - compressibility , physics , hubbard model , extension (predicate logic) , strongly correlated material , spin (aerodynamics) , simple (philosophy) , condensed matter physics , statistical physics , quantum mechanics , thermodynamics , superconductivity , electron , philosophy , epistemology , computer science , programming language
The simple Gutzwiller approximation, applied to the approach to Mott localization in a half‐filled band Hubbard model, gives a remarkably good description of the properties of liquid 3 He as the liquid‐solid transition is approached under pressure. The key variable, the density of unbound doubly occupied and empty sites is evaluated keeping only single site correlations. We extend the Gutzwiller approximation to incorporate nearest neighbor correlations. This extension improves the agreement with the experimental evolution of the spin susceptibility and effective mass with pressure, but does not remove the large discrepancy in the compressibility.