Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$

Abstract

In this work, we study effects of magnon interactions in the excitation spectrum of CoNb${}_2$O${}_6$ in the quantum paramagnetic phase in transverse field, where the $1/S$ spin-wave theory exhibits unphysical divergences at the critical field. We propose a self-consistent Hartree-Fock approach that eliminates such unphysical singularities while preserving the integrity of the singular threshold phenomena of magnon decay and spectrum renormalization that are present in both theory and experiment. With the microscopic parameters adopted from previous studies, this method yields a close quantitative agreement with the available experimental data for CoNb${}_2$O${}_6$ in the relevant regime. Insights into the general structure of the spin-anisotropic model of CoNb${}_2$O${}_6$ and related zigzag chain materials are also provided and a discussion of the effects of additional longitudinal field on the spectrum is given.

27 pages, 18 figures, must-read appendices; recipient of the PRB beauty Award

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• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Transforming from Kitaev to Disguised Ising Chain: Application to CoNb${}_2$O${}_6$
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• From continuum excitations to sharp magnons via transverse magnetic field in the spin-1/2 Ising-like triangular lattice antiferromagnet Na2BaCo(PO4)2
• Cobalt-Based Pyroxenes: A New Playground for Kitaev Physics and Ising Model Realization
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Demystifying quantum escapism on the honeycomb lattice
• Self-consistent renormalized spin-wave theory of magnetic and topological transitions in two-dimensional honeycomb ferromagnets
• Ising spin ladders of orthopyroxene CoGeO${}_3$