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Paramagnetic susceptibility and paramagnet-ferromagnet crossover in the ground state of the U = ∞ Hubbard model

E. G. Goryachev, Dmitri V. Kuznetsov

Published Aug 1, 1992• 2 citations
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Paramagnetic susceptibility χ(0, 0)=dR(H)/dH in (H→0, U=∞) Hubbard model has been calculated in the second order of a kinematic field. The final result changes cardinally the conclusion about paramagnetic’s instability which was derived from the theory of the first order in kinematic field at T=0 and ρ=1/2W.1 The obtained expression for χ(0, 0) possesses Pauli limit for n→0 with factor 2, has strong correlated enhancement (≈5 times as large) in the region of intermediate filling of the band (n≈0.5), and determines the paramagnetic-ferromagnetic transition as a crossover transition (i.e. without finite or infinite discontinuity).

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Gossamer metals

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Laughlin's construction of exact gossamer ground states is applied to normal metals. We show that for each variational parameter 0<=g<=1, the paramagnetic or ferromagnetic Gutzwiller wave function is the exact ground state of an extended Hubbard model with correlated hopping, with arbitrary particle density, non-interacting dispersion, and lattice dimensionality. The susceptibility and magnetization curves are obtained, showing that the Pauli susceptibility is enhanced by correlations. The elementary quasiparticle excitations are gapless, except for a half-filled band at g=0, where a Mott transition from metal to insulator occurs.

arXiv:cond-mat/0308513•Aug 26, 2003•0 citations
Paramagnetic susceptibility χ(0, 0)=dR(H)/dH in (H→0, U=∞) Hubbard model has been calculated in the second order of a kinematic field. The final result changes cardinally the conclusion about paramagnetic’s instability which was derived from the theory of the first order in kinematic field at T=0 and ρ=1/2W.1 The obtained expression for χ(0, 0) possesses Pauli limit for n→0 with factor 2, has strong correlated enhancement (≈5 times as large) in the region of intermediate filling of the band (n≈0.5), and determines the paramagnetic-ferromagnetic transition as a crossover transition (i.e. without finite or infinite discontinuity).
Laughlin's construction of exact gossamer ground states is applied to normal metals. We show that for each variational parameter 0<=g<=1, the paramagnetic or ferromagnetic Gutzwiller wave function is the exact ground state of an extended Hubbard model with correlated hopping, with arbitrary particle density, non-interacting dispersion, and lattice dimensionality. The susceptibility and magnetization curves are obtained, showing that the Pauli susceptibility is enhanced by correlations. The elementary quasiparticle excitations are gapless, except for a half-filled band at g=0, where a Mott transition from metal to insulator occurs.