Neél Order in Square and Triangular Lattice Heisenberg Models

Steven R. White and A. L. Chernyshev
Phys. Rev. Lett. 99, 127004 – Published 20 September 2007

Abstract

We show that the density matrix renormalization group can be used to study magnetic ordering in two-dimensional spin models. Local quantities should be extrapolated with the truncation error, not with its square root. We introduce sequences of clusters, using cylindrical boundary conditions with pinning fields, which provide for rapidly converging finite-size scaling. We determine the magnetization for both the square and triangular Heisenberg lattices with errors comparable to the best alternative approaches.

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  • Received 22 May 2007

DOI:https://doi.org/10.1103/PhysRevLett.99.127004

©2007 American Physical Society

Authors & Affiliations

Steven R. White and A. L. Chernyshev

  • Department of Physics and Astronomy, University of California, Irvine, California 92697, USA

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Issue

Vol. 99, Iss. 12 — 21 September 2007

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