Suppression of dimer correlations in the two-dimensional J1J2 Heisenberg model: An exact diagonalization study

Luca Capriotti, Federico Becca, Alberto Parola, and Sandro Sorella
Phys. Rev. B 67, 212402 – Published 6 June 2003
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Abstract

We present an exact diagonalization study of the ground state of the spin-half J1J2 model. Dimer correlation functions and the susceptibility associated to the breaking of the translational invariance are calculated for the 4×4 and the 6×6 clusters. These results—especially when compared to the one-dimensional case, where the occurrence of a dimerized phase for large enough frustration is well established—suggest either a homogeneous spin liquid or, possibly, a dimerized state with a rather small order parameter.

  • Received 18 October 2002

DOI:https://doi.org/10.1103/PhysRevB.67.212402

©2003 American Physical Society

Authors & Affiliations

Luca Capriotti1, Federico Becca2,4, Alberto Parola3, and Sandro Sorella4

  • 1Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA
  • 2Institut de Physique Théorique, Université de Lausanne, CH-1015 Lausanne, Switzerland
  • 3Istituto Nazionale per la Fisica della Materia and Dipartimento di Scienze, Università dell’Insubria, I-22100 Como, Italy
  • 4INFM-Democritos, National Simulation Centre, and SISSA, I-34014 Trieste, Italy

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Vol. 67, Iss. 21 — 1 June 2003

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