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Physical review. B, Condensed matter

Antiferromagnetic order in the periodic Anderson model at half filling: A rigorous result

Guang-Shan Tian

Published Sep 1, 1994• 24 citations
Publisher

Abstract

By using a recent result of Ueda et al. [Phys. Rev. Lett 68, 1030 (1992)], we prove rigorously that the ground state of the symmetric periodic Anderson model has short-range antiferromagnetic order.Received 26 April 1994DOI:https://doi.org/10.1103/PhysRevB.50.6246©1994 American Physical Society

DOI
10.1103/physrevb.50.6246

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Publisher's Note: Competing orders in the generalized Hund chain model at half filling [Phys. Rev. B82, 155134 (2010)]

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By using a recent result of Ueda et al. [Phys. Rev. Lett 68, 1030 (1992)], we prove rigorously that the ground state of the symmetric periodic Anderson model has short-range antiferromagnetic order.Received 26 April 1994DOI:https://doi.org/10.1103/PhysRevB.50.6246©1994 American Physical Society
As an extension of our previous rigorous investigation on the spin correlations in the ground states of the half-filled Hubbard model and the periodic Anderson model [G. S. Tian, Phys. Rev. B 50, 6246 (1994)], in the present paper we study the behavior of these correlation functions at finite temperature. We show rigorously that, at any $T\ensuremath{\ne}0,$ the predominant spin correlations in these systems are antiferromagnetic. Furthermore, based on this result, we also show that a quasi-one (or two)-dimensional itinerant electron ferrimagnet must have a gapless branch of ferromagnetic excitations. This conclusion is consistent with the previous results derived by the spin-wave theory.