Arseny V. Syromyatnikov

${\mathrm{Cs}}_2{\mathrm{CoBr}}_4$ is a triangular-lattice antiferromagnet which can be viewed as weakly interacting spin chains due to spatially anisotropic frustrating exchange couplings. The spin-orbit interaction in ${\mathrm{Co}}^{2+}$ spin-$\frac{3}{2}$ ions leads to a strong easy-plane single-ion anisotropy which allows us to consider the low-energy spin dynamics of this system using an anisotropic pseudospin-$\frac{1}{2}$ model. By means of the electron spin resonance (ESR) technique, we study the spin dynamics of ${\mathrm{Cs}}_2{\mathrm{CoBr}}_4$ in magnetic field in a spin-liquid regime, i.e., above the Néel temperature of 1.3 K but below the temperature of the crossover to in-chain correlations of pseudospins ($\approx 6$ K). Our experiments reveal two bright branches of excitations which strongly differ both from excitations in the low-temperature ordered phases and from high-temperature paramagnetic resonance of uncorrelated pseudospins and spins. These two branches are interpreted as excitations with zero momentum of an anisotropic spin-$\frac{1}{2}$ chain. In addition, we observe several weak modes of unknown origin which arise mostly as satellites of one of the bright modes.

We study spin dynamics of ordered phases of ${\mathrm{Cs}}_2{\mathrm{CoBr}}_4$ in a magnetic field using electron-spin resonance (ESR) technique and theoretical analysis. This material hosts weakly interacting distorted-triangular-lattice planes of spin-$\frac{3}{2}{\mathrm{Co}}^{2+}$ ions which can be viewed as spin chains coupled by frustrating interactions. Strong single-ion anisotropy allows us to describe the low-energy spin dynamics of this system by an effective strongly anisotropic pseudospin-$\frac{1}{2}$ model. Our ESR data show up to seven branches of magnetic resonance in four magnetic phases arising due to subtle interplay of frustration, low dimensionality, and strong anisotropy. In particular, in the low-field collinear stripe phase, the field evolution of modes lying below 200 GHz is described reasonably well by spectra of spin-1 and spin-0 quasiparticles which we obtain using the bond-operator technique. These well-defined excitations can be treated as conventional magnons and bound states of two magnons, respectively. In contrast, numerous excitations lying above 200 GHz are not captured by our theory due to pronounced one-dimensional correlations inside spin chains which govern the spin dynamics at high enough energies. As was shown before, these modes can be most naturally interpreted as bound states of domain walls in individual chains and their sequence resembles the so-called “Zeeman ladder” in anisotropic Ising-like spin chains. Thus, ${\mathrm{Cs}}_2{\mathrm{CoBr}}_4$ is a system showing spin-dynamics in an ordered state characteristic of both two-dimensional and one-dimensional magnets.

We discuss theoretically a ferromagnetic monolayer with an interfacial Dzyaloshinskii-Moriya interaction (iDMI) and a small axial anisotropy. It is shown that the system has a long-period cycloid magnetic order slightly distorted by the anisotropy whose modulation vector $\mathbf{k}$ can have several orientations. We find that due to iDMI-induced umklapp terms in the Hamiltonian, the spectrum of long-wavelength magnons is essentially anisotropic: it is linear and quadratic for momenta directed along and perpendicular to $\mathbf{k}$, respectively. Due to such a quasi-1D spectrum, the temperature correction to the mean spin value has a power-law singularity hampering the magnetic ordering at $T\ne 0$. We demonstrate that the umklapps lead to a peculiar band structure of the magnon spectrum similar to electronic bands in solids. We discuss also the effect of vacancies and defect bonds on system properties at $T=0$. Owing to the quasi-1D character of the spectrum, the distortion of the cycloid structure by a single defect bond is described at long distances by the field of a 1D electric dipole. As a result, even infinitesimal concentrations of defects $c$ destroy the long-range order and establish a short-range order whose correlation length shows a power-law dependence on $1/c$. Our findings should also be applicable to ultrathin films with strong enough iDMI.

We theoretically discuss dynamical properties of spin-1/2 Heisenberg antiferromagnet on the triangular lattice in magnetic field $\bf H$. We use the recently proposed bond-operator theory which operates with quantum states of the whole magnetic unit cell containing three spins. This technique describes accurately short-range spin correlations and provides a quantitative description of elementary excitations which appear in other approaches as bound states of conventional low-energy quasiparticles (e.g., magnons). In quantitative agreement with previous numerical and analytical findings, we observe four phases with coplanar spin arrangements upon the field increasing: the three-sublattice Y-phase, the collinear "up-up-down" (UUD) state, the non-collinear V-phase, and the collinear fully polarized (FP) state. We demonstrate that apart from magnons there are spin-0 elementary excitations in the UUD state one of which is long lived and its spectrum lies below magnon branches. This mode originates from a high-energy quasiparticle at $H=0$ and it produces anomalies only in the longitudinal spin correlator. In the V-phase, we obtain multiple short-wavelength spin excitations which have no counterparts in the semiclassical spin-wave theory. We demonstrate a highly nontrivial field evolution of quasiparticles spectra on the way from one collinear state (UUD) to another one (FP) via the non-collinear V-phase (in which the longitudinal and the transverse channels are mixed). In particular, some parts of the spin-0 branch in the UUD state become parts of the spin-1 (magnon) branch in the FP phase whereas some parts of one magnon branch turn into parts of spin-2 branch. Such evolution would be very difficult to find by any conventional analytical approach. Our results are in good agreement with neutron experimental data obtained recently in $\rm Ba_3CoSb_2O_9$, $\rm KYbSe_2$, and $\rm CsYbSe_2$.

By the example of Heisenberg $d$-dimensional disordered non-frustrated antiferromagnets, we discuss quantum transitions at $d\ge2$ from magnetically ordered (superfluid) to various disorder-induced insulating phases (Bose-glass, Mott-glass, etc.) in Bose systems with quenched disorder. We perform a scaling consideration as well as a discussion based on the hydrodynamic description of long-wavelength excitations and on the assumption that the ordered part of the system shows fractal properties near the transition point. We propose that the scaling ansatz for the singular part of the free energy suggested before for the transition to the Bose-glass phase is applicable also for other transitions if the quenched disorder does not produce a local imbalance in sublattices magnetizations. We show using the scaling consideration that $\eta=2-z$ and $\beta=\nu d/2$, where $\eta$, $\beta$, and $\nu$, are critical exponents of the correlation function, the order parameter, and the correlation length, respectively, and $z$ is the dynamical critical index. These relations were missed in previous analytical discussions of Bose-glass and Mott-glass phases. They signify, in particular, that $z=d/2$ for the transition to the Mott-glass phase and that the density of states of localized excitations shows a superuniversal (i.e., independent of $d$) behavior near the transitions. Being derived solely from the scaling analysis, the above relations for $\eta$ and $\beta$ are valid also for the transition to the random-singlet phase.

We discuss spin-$\frac12$ $J_1$--$J_2$ model on the triangular lattice using recently proposed bond-operator theory (BOT). In agreement with previous discussions of this system, we obtain four phases upon $J_2$ increasing: the phase with $120^\circ$ ordering of three sublattices, the spin-liquid phase, the state with the collinear stripe order, and the spiral phase. The $120^\circ$ and the stripe phases are discussed in detail. All calculated static characteristics of the model are in good agreement with previous numerical findings. In the $120^\circ$ phase, we observe the evolution of quasiparticles spectra and dynamical structure factors (DSFs) upon approaching the spin-liquid phase. Some of the considered elementary excitations were introduced first in our recent study of this system at $J_2=0$ using the BOT. In the stripe phase, we observe that the doubly degenerate magnon spectrum known from the spin-wave theory (SWT) is split by quantum fluctuations which are taken into account more accurately in the BOT. As compared with other known findings of the SWT in the stripe state, we observe additional spin-1 and spin-0 quasiparticles which give visible anomalies in the transverse and longitudinal DSFs. We obtain also a special spin-0 quasiparticle named singlon who produces a peak only in four-spin correlator and who is invisible in the longitudinal DSF. We show that the singlon spectrum lies below energies of all spin-0 and spin-1 excitations in some parts of the Brillouin zone. Singlon spectrum at zero momentum can be probed by the Raman scattering.