Magnetic field-induced deformation of the spin-density wave microphases in Ca$_3$Co$_2$O$_6$

TL;DR

This study explores how magnetic fields deform spin-density wave microphases in Ca$_3$Co$_2$O$_6$, revealing phase transitions and phase diagram features through simulations and theoretical models, advancing understanding of complex magnetic orderings.

Contribution

It provides the first detailed analysis of magnetic field effects on SDW microphases in Ca$_3$Co$_2$O$_6$ using Monte Carlo simulations and theoretical modeling.

Findings

Magnetic field induces deformation of SDW microphases.

Identification of incommensurate-commensurate phase transitions.

Mapping of the equilibrium in-field phase diagram.

Abstract

The frustrated triangular Ising magnet Ca$_3$Co$_2$O$_6$ has long been known for an intriguing combination of extremely slow spin dynamics and peculiar magnetic orders, such as the evenly-spaced non-equilibrium metamagnetic magnetization steps and the long-wavelength spin density wave (SDW) order, the latter of which is essentially an emergent crystal of solitons. Recently, an elaborate field-cooling protocol to bypass the low-field SDW phase was proposed to overcome the extraordinarily long timescale of spin relaxation that impeded previous experimental studies in equilibrium, which may point to a deep connection between the low-temperature slow relaxation and the cooling process passing through the low-field SDW phase. As the first step to elucidate the conjectured connection, we investigate the magnetic field-induced deformation of the SDW state and incommensurate-commensurate transitions, thereby mapping out the equilibrium in-field phase diagram for a realistic three-dimensional lattice spin model by using Monte Carlo simulations. We also discuss Ginzburg-Landau theory that includes several Umklapp terms as well as an effective sine-Gordon model, which can qualitatively explain the observed magnetic field-induced deformation of the SDW microphases.