We derive explicit spin and charge correlation functions of the N×N Hubbard model from a recently obtained weak-coupling analytic ground state |Ψ[0]AFrangle. The spin correlation function shows an antiferromagnetic behaviour with different signs for the two sublattices and its Fourier tranform is peaked at Q = (π,π). The charge correlation function presents two valleys at 45° from the axes. Both functions behave in a smooth way with increasing N; the results agree well with the available numerical data.
Stefanucci, G., Cini, M. (2002). Analytic correlation functions of the two-dimensional half-filled Hubbard model at weak coupling. JOURNAL OF PHYSICS. CONDENSED MATTER, 14(10), 2653-2675.
Analytic correlation functions of the two-dimensional half-filled Hubbard model at weak coupling
STEFANUCCI, GIANLUCA;CINI, MICHELE
2002-01-01
Abstract
We derive explicit spin and charge correlation functions of the N×N Hubbard model from a recently obtained weak-coupling analytic ground state |Ψ[0]AFrangle. The spin correlation function shows an antiferromagnetic behaviour with different signs for the two sublattices and its Fourier tranform is peaked at Q = (π,π). The charge correlation function presents two valleys at 45° from the axes. Both functions behave in a smooth way with increasing N; the results agree well with the available numerical data.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.