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Solid State Communications

Paramagnetic spin susceptibility and antiferromagnetic ordering in the Hubbard model

C. Mehrotra, K. S. Viswanathan

Published Jan 1, 1973• 4 citations
Publisher
DOI
10.1016/0038-1098(73)90521-8

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arXiv:cond-mat/0507701•Jul 29, 2005•0 citations
We consider the large-U limit of the one-band Hubbard model at half-filling on a nonbipartite two-dimensional lattice. An external magnetic field can induce a three-spin chiral interaction at order 1/U2{\mathit{U}}^{2}U2. We discuss situations in which, at low temperatures, the chiral term may have a larger effect than the Pauli coupling of electron spins to a magnetic field. We present a model that explicitly demonstrates this. The ground state is a singlet with a gap; hence the spin susceptibility is zero while the chiral susceptibility is finite and paramagnetic.
We show that the effect of disorder on a Mott-Hubbard insulator of interacting electrons produces a quantum phase transition from an antiferromagnetic to a paramagnetic phase governed by a percolation of the singly occupied weakly disordered sites. Near the transition, we propose that a new type of defect, formed by the resonant exchange between a spin singlet and a doubly occupied site with an attractive disorder potential, plays an important role. These resonant pair exchange defects reduce the staggered magnetization but enhance the coupling of the two spins and produce characteristic signatures in the temperature dependent specific heat and the non-Curie spin susceptibility, at temperatures on the order the hopping t, higher than the typical exchange scale J.