Quantum skyrmions in frustrated ferromagnets

Abstract

We develop a quantum theory of magnetic skyrmions and antiskyrmions in a spin-1/2 Heisenberg magnet with frustrating next-nearest neighbor interactions. Using exact diagonalization we show numerically that a quantum skyrmion exists as a stable many-magnon bound state and investigate its quantum numbers. We then derive a phenomenological Schrödinger equation for the quantum skyrmion and its internal degrees of freedom. We find that quantum skyrmions have highly unusual properties. Their bandwidth is exponentially small and arises from tunneling processes between skyrmion and antiskyrmion. The bandstructure changes both qualitatively and quantitatively when a single spin is added or removed from the quantum skyrmion, reflecting a locking of angular momentum and spin quantum numbers characteristic for skyrmions. Additionally, while for weak forces the quantum skyrmion is accelerated parallel to the force, it moves in a perpendicular direction for stronger fields.

arXiv comment14 pages, 10 figures, added force-magnetization coupling and periodic potential to skyrmion Hamiltonian

References in corpus (21)

• Skyrmion Lattice in a Chiral Magnet
• Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
• Spin Transfer Torques in MnSi at Ultra-low Current Densities
• Emergent electrodynamics of skyrmions in a chiral magnet
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Skyrmions in Magnetic Multilayers
• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
• Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition
• Inertia, diffusion and dynamics of a driven skyrmion
• Edge states and skyrmion dynamics in nanostripes of frustrated magnets
• Trochoidal motion and pair generation in skyrmion and antiskyrmion dynamics under spin-orbit torques
• Quantum Dynamics of Skyrmions in Chiral Magnets
• Magnetic field gradient driven dynamics of isolated skyrmions and antiskyrmions in frustrated magnets
• Quantum Collapse of a Magnetic Skyrmion
• Current-Driven Dynamics of Frustrated Skyrmions in a Synthetic Antiferromagnetic Bilayer
• Quantum Skyrmions in Two-Dimensional Chiral Magnets
• Quantum motion and level quantization of a skyrmion in a pinning potential in chiral magnets
• Controlling skyrmion helicity via engineered Dzyaloshinskii-Moriya interactions

Cited by in corpus (48)

• Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Universal quantum computation based on nanoscale skyrmion helicity qubits in frustrated magnets
• Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer
• Skyrmion Qubits: Challenges For Future Quantum Computing Applications
• Probing the topology of the quantum analog of a classical skyrmion
• Current-driven skyrmionium in a frustrated magnetic system
• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Controlled Creation of Quantum Skyrmions
• Skyrmion crystal in the RKKY system on the two-dimensional triangular lattice
• Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• Multifarious skyrmion phases on a trilayer triangular lattice
• Topological dynamical quantum phase transition in a quantum skyrmion phase
• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
• Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
• Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
• Laminar and transiently disordered dynamics of a magnetic skyrmion pipe flow
• A Frustrated Bimeronium: Static Structure and Dynamics
• Quantum topological phase transitions in skyrmion crystals
• Quantum fluctuations in the order parameter of quantum skyrmion crystals
• Skyrmion Helicity: Quantization and Quantum Tunneling Effects
• Estimating Patterns of Classical and Quantum Skyrmion States
• Magnetic frustration driven by conduction carrier blocking in Nd${}_2$Co${}_{0.85}$Si${}_{2.88}$
• Anisotropic skyrmion and multi-$q$ spin dynamics in centrosymmetric Gd${}_2$PdSi${}_3$
• Dynamic transformation between a skyrmion string and a bimeron string in a layered frustrated system
• Quantum Depinning of a Magnetic Skyrmion
• Reconstruction of classical skyrmions from Anderson towers: quantum Darwinism in action
• Materials for Quantum Technologies: a Roadmap for Spin and Topology
• Current-Induced Dynamics of Chiral Magnetic Structures: Creation, Motion, and Applications
• Ground State Properties of Quantum Skyrmions described by Neural Network Quantum States
• Quantum States of a Skyrmion in a 2D Antiferromagnet
• Photocontrol of spin scalar chirality in centrosymmetric itinerant magnets
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• The quantum skyrmion Hall effect in f electron systems
• Reversible magnetic domain reorientation induced by magnetic field pulses with fixed direction
• Momentum-space theory for topological magnons in 2D ferromagnetic skyrmion lattices
• Spin-orbit coupled Hubbard skyrmions
• Quantum computing of magnetic-skyrmion-like patterns in Heisenberg ferromagnets
• Theory of magnetic vortex crystals induced by electric dipole interactions
• Field-induced magnetic phases in the Kitaev candidate Na${}_3$Co${}_2$SbO${}_6$
• Quantum Magnetic Skyrmions on Kondo-type Lattices
• Hidden quantum correlations in the ground states of quasiclassical spin systems
• Skyrmionic qubits stabilized by Dzyaloshinskii-Moriya interaction as platforms for qubits and quantum gates
• Optical signatures of quantum skyrmions
• Skyrmionic Schrödinger cat states in monoaxial chiral magnets
• Janus skyrmion: Interfacial quasiparticle with two-faced helicity
• Dynamics of Quantum Chiral Solitons