From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
arXiv:2311.08468 · doi:10.1103/PhysRevB.109.064426
Abstract
The physics of skyrmions, and in particular the issue of how to isolate and manipulate them individually, is a subject of major importance nowadays in the community of magnetism. In this article we present an in-depth extension of a study on this issue that was recently proposed by some of the authors [H. D. Rosales, et al. Phys. Rev. Lett. \textbf{130}, 106703 (2023)]. More precisely, we analyse the competition between skyrmions and a chiral spin liquid in a model on the kagome lattice. We first present an analytical overview of the low-energy states using the Luttinger-Tisza approximation. We then study the effect of thermal fluctuations thanks to large-scale Monte-Carlo simulations, and explore the entire parameter space with a magnetic field , in-plane and out-of-plane Dzyaloshinskii-Moriya interactions. While skyrmions and the chiral spin liquid live in different regions of the parameter space, we show how to bring them together, stabilizing a skyrmion fluid in between; a region where the density of well-defined skyrmions can be tuned before obtaining an ordered phase. We investigate in particular the melting of the skyrmion solid. Our analysis also brings to light a long-range ordered phase with Z symmetry. At last, we initiate the study of this rich magnetic background on conduction electrons that are coupled to the local spins. We study how the different chiral magnetic textures stabilized in this model (skyrmion solid, liquid and gas and chiral spin liquid) induce a topological Quantum Hall effect. We observe in the ordered skyrmion phase the appearance of Landau levels which persist even in the skyrmion-liquid regime and gradually disappear as the skyrmion density decreases to form a gas.
arXiv comment19 pages, 16 figures
References in corpus (59)
- Skyrmion Lattice in a Chiral Magnet
- Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
- Spontaneous Skyrmion Ground States in Magnetic Metals
- Massive Dirac fermions in a ferromagnetic kagome metal
- Anomalous Hall effect arising from noncollinear antiferromagnetism
- Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
- Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
- Transport Properties of the Kondo Lattice Model in the Limit and
- The "Coulomb phase" in frustrated systems
- Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
- Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
- Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
- Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
- Quantized Anomalous Hall Effects in Skyrmion Crystal
- Skyrmion Lattice in Two-Dimensional Chiral Magnet
- Compact Skyrmions, Merons and Bimerons in Thin Chiral Magnetic Films
- Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
- Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space
- Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
- Melting a skyrmion lattice topologically: through the hexatic phase to a skyrmion liquid
- Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
- Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
- Square skyrmion crystal in centrosymmetric itinerant magnets
- Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
- Role of higher-order exchange interactions for skyrmion stability
- Spontaneous magnetic skyrmions in single-layer CrInX3(X=Te, Se)
- Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
- Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
- Magnetic charge and ordering in kagome spin ice
- Reversible Transformation between Isolated Skyrmions and Bimerons
- Resistivity Minimum in Highly Frustrated Itinerant Magnets
- Non-Kondo mechanism for resistivity minimum in spin ice conduction systems
- Two step disordering of the vortex lattice across the peak effect in a weakly pinned Type II superconductor, Co0.0075NbSe2
- Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin liquid states in the frustrated triangular lattice
- Propagation and Ghosts in the Classical Kagome Antiferromagnet
- A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
- Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
- Skymrion lattice melting in the quantum Hall system
- Phonon thermal Hall effect in a metallic spin ice
- Solid--liquid transition of skyrmions in a two-dimensional chiral magnet
- Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
- Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
- Quantum Anomalous Hall Effect in Kagome Ice
- Anisotropy driven response of skyrmion lattice in MnScS to applied magnetic fields
- Half moons are pinch points with dispersion
- The family of topological Hall effects for electrons in skyrmion crystals
- Combined approach to analyze and classify families of classical spin liquids
- Signatures of lattice geometry in quantum and topological Hall effect
- Kagome lattice promotes chiral spin fluctuations
- Electronic transport in the Coulomb phase of the pyrochlore spin ice
- Skyrmion fluid and bimeron glass protected by a chiral spin liquid on a kagome lattice
- Rashba-Zener mechanism for nanoscale skyrmions and topological metals
- Quantum Hall ice
- Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
- Electronic chiralization as an indicator of the anomalous Hall effect in unconventional magnetic systems
- Thermal Creation of Skyrmions in Ferromagnetic Films with Perpendicular Anisotropy and Dzyaloshinskii-Moriya Interaction
- Signatures of a liquid-crystal transition in spin-wave excitations of skyrmions
- Skyrmion Crystals in the Triangular Kondo Lattice Model
- From frustrated magnetism to spontaneous Chern insulators
Cited by in corpus (4)
- Robustness of topological magnons in disordered arrays of skyrmions
- Probing Random-Bond Disorder Effects on Ferromagnetic Skyrmion Arrays
- Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
- Fermion-Vortex Interactions in Axion Electrodynamics