Understanding correlations and localization in the Hubbard model ...
Understanding correlations and localization in the Hubbard model ...
Understanding correlations and localization in the Hubbard model ...
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Questions<br />
We know that<br />
<strong>in</strong> <strong>in</strong>f<strong>in</strong>ite dimensions <strong>the</strong> exact GWF <strong>and</strong> <strong>the</strong> GA co<strong>in</strong>cide.<br />
<strong>in</strong> <strong>in</strong>f<strong>in</strong>ite dimensions <strong>the</strong> exchange hole implicit <strong>in</strong> <strong>the</strong> GA is<br />
exact.<br />
We found <strong>in</strong> that<br />
<strong>in</strong> 1D implement<strong>in</strong>g <strong>the</strong> exact hole <strong>in</strong>to <strong>the</strong> GA results <strong>in</strong><br />
quantitative agreement with <strong>the</strong> exact GWF results.<br />
Question: can one generalize this conclusion?<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. 18
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