Large-Nestimates of universal amplitudes of theCPN−1theory and comparison with aS=12square-lattice model with competing four-spin interactions

2008/04/14 by Ribhu K. Kaul, Roger G. Melko, Roger Melko · 6 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.78.014417

published as Phys. Rev. B 78, 014417 (2008) · 15 pages

arxiv created 2008/04/14 · openalex publication_date 2008/07/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present computations of certain finite-size scaling functions and universal amplitude ratios in the large-N limit of the ℂℙ^N\ensuremath-1 field theory. We pay particular attention to the uniform susceptibility, the spin stiffness, and the specific heat. Field theoretic arguments have shown that the long-wavelength description of the phase transition between the N'eel and valence-bond solid states in square lattice S=1/2 antiferromagnets is expected to be the noncompact ℂℙ¹ field theory. We provide a detailed comparison between our field theoretic calculations and quantum Monte Carlo data close to the N'eel-VBS transition on a S=1/2 square-lattice model with competing four-spin interactions (the JQ model).

Citations

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Two Step Restoration of SU(2) Symmetry in a Frustrated Quantum Magnet
• Deconfined Quantum Critical Points

Cited by

• Z4to U(1) crossover of the order-parameter symmetry in a two-dimensional valence-bond solid
• Continuous Quantum Phase Transition between an Antiferromagnet and a Valence-Bond Solid in Two Dimensions: Evidence for Logarithmic Corrections to Scaling
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Universal Signatures of Fractionalized Quantum Critical Points
• Dual dynamic scaling in deconfined quantum criticality
• Quantum phase transition between integer quantum Hall states of bosons

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