Semiclassical theory for liquid-like behaviour of the frustrated magnet ${\mathrm{Ca}}_{10}{\mathrm{Cr}}_7{\mathrm{O}}_{28}$

Abstract

We identify the low energy effective Hamiltonian that is expected to describe the low temperature properties of the frustrated magnet ${\mathrm{Ca}}_{10}{\mathrm{Cr}}_7{\mathrm{O}}_{28}$. Motivated by the fact that this effective Hamiltonian has $S=3/2$ effective moments as its degrees of freedom, we use semiclassical spinwave theory to study the $T=0$ physics of this effective model and argue that singular spinwave fluctuations destabilize the spiral order favoured by the exchange couplings of this effective Hamiltonian. We also use a combination of classical Monte-Carlo simulations and molecular dynamics, as well as analytical approximations, to study the physics at low, nonzero temperatures. The results of these nonzero temperature calculations capture the liquid-like structure factors observed in the temperature range accessed by recent experiments. Additionally, at still lower temperatures, they predict that a transition to nematic order in the bond energies reflects itself in the spin channel in the form of a crossover to a regime with large but finite correlation length for spiral spin correlations and a corresponding slowing down of spin dynamics.

revised version includes new results and corrections

References in corpus (7)

• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass
• Numerical treatment of spin systems with unrestricted spin length $S$: A functional renormalization group study
• Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite
• Large-scale Monte Carlo simulations of the three-dimensional XY spin glass
• The magnetic Hamiltonian and phase diagram of the quantum spin liquid Ca10Cr7O28

Cited by in corpus (14)

• Generic Spiral Spin Liquids
• Multiple-$q$ states of the $J_1$-$J_2$ classical honeycomb-lattice Heisenberg antiferromagnet under magnetic fields
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• Ripple state in the frustrated honeycomb-lattice antiferromagnet
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Ultralow-temperature heat transport in the quantum spin liquid candidate Ca10Cr7O28 with bilayer kagome lattice
• Signatures for spinons in the quantum spin liquid candidate Ca${}_{10}$Cr${}_7$O${}_{28}$
• Line-Graph Approach to Spiral Spin Liquids
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• Spiral Spin Liquid Noise
• Strong coupling of lattice and orbital excitations in quantum magnet Ca${}_{10}$Cr${}_7$O${}_{28}$: Anomalous temperature dependence of Raman phonons
• Robust spin liquid state against magnetic-dilution in the bi-layer Kagome material Ca${}_{10}$Cr${}_7$O${}_{28}$
• Origin of the intermediate-temperature magnetic specific heat capacity in the spin-liquid candidate Ca${}_{10}$Cr${}_7$O${}_{28}$