SU(N) Heisenberg model with multicolumn representations

Tsuyoshi Okubo, Kenji Harada, Jie Lou, and Naoki Kawashima
Phys. Rev. B 92, 134404 – Published 5 October 2015

Abstract

The SU(N) symmetric antiferromagnetic Heisenberg model with multicolumn representations on the two-dimensional square lattice is investigated by quantum Monte Carlo simulations. For the representation of a Young diagram with two columns, we confirm that a valence-bond solid (VBS) order appears as soon as the Néel order disappears at N=10, indicating no intermediate phase. In the case of the representation with three columns, there is no evidence for either the Néel or the VBS ordering for N15. This is actually consistent with the large-N theory, which predicts that the VBS state immediately follows the Néel state, because the expected spontaneous order is too weak to be detected.

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  • Received 21 April 2015
  • Revised 7 September 2015

DOI:https://doi.org/10.1103/PhysRevB.92.134404

©2015 American Physical Society

Authors & Affiliations

Tsuyoshi Okubo1,*, Kenji Harada2, Jie Lou3, and Naoki Kawashima1

  • 1Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
  • 2Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
  • 3Department of Physics, Fudan University, Shanghai 200433, China

  • *t-okubo@issp.u-tokyo.ac.jp

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Issue

Vol. 92, Iss. 13 — 1 October 2015

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