Magnetic vortex crystals in frustrated Mott insulator

Abstract

Quantum fluctuations become particularly relevant in highly frustrated quantum magnets and can lead to new states of matter. We provide a simple and robust scenario for inducing magnetic vortex crystals in frustrated Mott insulators. By considering a quantum paramagnet that has a gapped spectrum with six-fold degenerate low energy modes, we study the magnetic field induced condensation of these modes. We use a dilute gas approximation to demonstrate that a plethora of multi-$\mathbf{Q}$ condensates are stabilized for different combinations of exchange interactions. This rich quantum phase diagram includes magnetic vortex crystals, which are further stabilized by symmetric exchange anisotropies. Because magnetic skyrmion and domain wall crystals have already been predicted and experimentally observed, this novel vortex phase completes the picture of emergent crystals of topologically nontrivial spin configurations.

12 pages, 12 figures; published in Phys. Rev. X

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Bose-Einstein Condensation in Magnetic Insulators
• Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
• Magnetization Process and Collective Excitations in the S=1/2 Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9
• Formation and rotation of skyrmion crystal in the chiral-lattice insulator Cu2OSeO3
• Electronic Orbital Currents and Polarization in Mott Insulators
• Magnetoelectric nature of skyrmions in a chiral magnetic insulator Cu2OSeO3
• Electric-field control of the skyrmion lattice in Cu2OSeO3
• Formation of Magnetic Microphases in Ca${}_3$Co${}_2$O${}_6$
• Ground states of a frustrated spin-1/2 antifferomagnet: Cs_2CuCl_4 in a magnetic field
• Singlet-triplet dispersion reveals additional frustration in the triangular dimer compound Ba${}_3$Mn${}_2$O${}_8$
• Asymmetric quintuplet condensation in the frustrated S=1 spin dimer compound Ba3Mn2O8
• Ordered magnetic phases of the frustrated spin-dimer compound Ba3Mn2O8
• Frustrated antiferromagnets at high fields: the Bose-Einstein condensation in degenerate spectra
• Anisotropic phase diagram of the frustrated spin dimer compound Ba3Mn2O8

Cited by in corpus (43)

• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• Bubble and Skyrmion Crystals in Frustrated Magnets with Easy-Axis Anisotropy
• Spiral spin-liquid and the emergence of a vortex-like state in MnSc${}_2$S${}_4$
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Topological spin crystals by itinerant frustration
• Néel- and Bloch-Type Magnetic Vortices in Rashba Metals
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Face centered cubic and hexagonal close packed skyrmion crystals in centro-symmetric magnets
• Phases of triangular lattice antiferromagnet near saturation
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Multiple-$q$ states of the $J_1$-$J_2$ classical honeycomb-lattice Heisenberg antiferromagnet under magnetic fields
• Replica symmetry breaking in the RKKY skyrmion crystal system
• Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation
• Spirals and skyrmions in antiferromagnetic triangular lattices
• Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
• Magnon condensation with finite degeneracy on the triangular lattice
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Field-induced double dome and Bose-Einstein condensation in the crossing quantum spin chain system AgVOAsO4
• Skyrmion Crystals in the Triangular Kondo Lattice Model
• Magnetic phase diagram slightly below the saturation field in the stacked $J_1$-$J_2$ model in the square lattice with the $J_{\text{C}}$ interlayer coupling
• Phase Crystals
• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Anyonic Liquids in Nearly Saturated Spin Chains
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves
• Frustration-driven topological textures on the honeycomb lattice: antiferromagnetic meron-antimeron and skyrmion crystals emerging from spiral spin liquids
• Field induced non-BEC transitions in frustrated magnets
• From Frustrated to Unfrustrated: Coupling two triangular-lattice itinerant Quantum Magnets
• Entanglement of condensed magnons via momentum-space fragmentation
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• Theory of magnetic vortex crystals induced by electric dipole interactions
• Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice