Quantum disordered ground states in frustrated antiferromagnets with multiple ring exchange interactions

2005/01/28 by Satoshi Fujimoto · 2 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Iron-based superconductors research #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.72.024429

6 pages, 4 figures

arxiv created 2005/01/28 · openalex publication_date 2005/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a certain class of two-dimensional frustrated quantum Heisenberg spin systems with multiple ring exchange interactions which are rigorously demonstrated to have quantum disordered ground states without magnetic long-range order. The systems considered in this paper are s=1∕2 antiferromagnets on a honeycomb and square lattices, and an s=1 antiferromagnet on a triangular lattice. We find that for a particular set of parameter values, the ground state is a short-range resonating valence bond state or a valence bond crystal state. It is shown that these systems are closely related to the quantum dimer model introduced by Rokhsar and Kivelson as an effective low-energy theory for valence bond states.

Citations

• On the ground state properties of the anisotropic triangular antiferromagnet
• Spin-Driven Jahn-Teller Distortion in a Pyrochlore System
• Destructive quantum interference in spin tunneling problems

Cited by

• Honeycomb antiferromagnet with a triply degenerate dimer ground state
• Vison excitations in near-critical quantum dimer models