Bond-Operator Mean Field Theory for the Bilayer Heisenberg Model

Abstract

Bond-operator mean field equations for the square-lattice, S=1/2 bilayer Heisenberg model are developed and solved numerically. In the vicinity of both the zero-field critical point and the field-induced transitions, comparisons are made with T=0 and finite-temperature strong coupling expansions. The mean-field theory suggests that the quantum critical region for the field-induced transitions is restricted to significantly lower temperatures than one might have concluded based on strong-coupling expansions or other numerical studies.

10 pages, LaTeX, 8 figures, uses jpsj.sty, revised version: minor changes to the text, to appear in J. Phys. Soc. Jpn. Vol.68 No.1 (January 1999)

References in corpus (4)

• Dynamical Properties of an Antiferromagnet near the Quantum Critical Point: Application to LaCuO_2.5
• Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet
• Phase Transitions in Bilayer Heisenberg Model with General Couplings
• Interacting Boson Theory of the Magnetization Process of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain

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• Doped bilayer antiferromagnets: Hole dynamics on both sides of a magnetic ordering transition
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Néel to dimer transition in spin-S antiferromagnets: Comparing bond operator theory with quantum Monte Carlo simulations for bilayer Heisenberg models
• Plaquette-RVB state in the Frustrated Honeycomb Antiferromagnet
• Field Induced Spin Supersolidity in Frustrated Spin-1/2 Spin-Dimer Models
• Field induced quantum phase transition in the anisotropic Kondo necklace model
• Magnetization cusp singularities of frustrated Kondo necklace model
• Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations and Spin-Charge Separation Near an O(3) Quantum Critical Point
• Bond Operator Mean Field Approach to the Magnetization Plateaux in Quantum Antiferromagnets -- Application to the S=1/2 Coupled Dimerized Zigzag Heisenberg Chains
• Carrier dynamics in doped bilayer iridates near magnetic quantum criticality
• Casimir effect mechanism of pairing between fermions in the vicinity of a magnetic quantum critical point