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Analytic Correlation Functions of the two-dimensional Half Filled Hubbard Model at Weak Coupling

Gianluca Stefanucci·Michele Cini
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Abstract

We derive explicit spin and charge correlation functions of the $N \times N$ Hubbard model from a recently obtained weak-coupling analytic ground state $|\Q^{[0]}_{AF}\ket$. The spin correlation function shows an antiferromagnetic behaviour with different signs for the two sublattices and its Fourier tranform is peaked at ${\mathbf Q}=(\p,\p)$. The charge correlation function presents two valleys at 45 degrees from the axes. Both functions behave in a smooth way with increasing $N$; the results agree well with the available numerical data.

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Gianluca Stefanucci, Michele Cini. 2002-11-06. Analytic Correlation Functions of the two-dimensional Half Filled Hubbard Model at Weak Coupling. https://doi.org/10.1088/0953-8984%2F14%2F10%2F316

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