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Understanding correlations and localization in the Hubbard model ...

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Insulat<strong>in</strong>g Gutzwiller<br />

χ 4<br />

0.2<br />

0.15<br />

0.1<br />

0.05<br />

0<br />

L=36<br />

L=48<br />

L=60<br />

L=72<br />

U 4<br />

0.67<br />

0.66<br />

0.65<br />

0.64<br />

0.63<br />

0.62<br />

0 2 4<br />

γ<br />

0 2 4<br />

γ<br />

Figure 13: χ 4 <strong>and</strong> U 4 as a function of <strong>the</strong> variational parameter<br />

γ for an <strong>in</strong>sulat<strong>in</strong>g wavefunction.<br />

<strong>Underst<strong>and</strong><strong>in</strong>g</strong> <strong>correlations</strong> <strong>and</strong> <strong>localization</strong> <strong>in</strong> <strong>the</strong> <strong>Hubbard</strong> <strong>model</strong> from variational calculations – p. 38

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