Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice

Abstract

Magnetization plateaus, visible as anomalies in magnetic susceptibility at low temperatures, are one of the hallmarks of frustrated magnetism. We show how an extremely robust half-magnetization plateau can arise from coupling between spin and lattice degrees of freedom in a pyrochlore antiferromagnet, and develop a detailed symmetry of analysis of the simplest possible scenario for such a plateau state. The application of this theory to the spinel oxides CdCr2O4 and HgCr2O4, where a robust half magnetization plateau has been observed, is discussed.

4 pages, 4 figures

References in corpus (11)

• Emergent excitations in a geometrically frustrated magnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet
• Order by distortion and string modes in pyrochlore antiferromagnet
• Spin Driven Jahn-Teller Distortion in a Pyrochlore system
• Spin-Peierls phases in pyrochlore antiferromagnets
• Magnetic transition and orbital degrees of freedom in vanadium spinels
• Field induced transitions in a kagome antiferromagnet
• Field induced ordering in highly frustrated antiferromagnets
• Peierls-like transition induced by frustration in a two-dimensional antiferromagnet
• Magnetization plateau in a two-dimensional multiple-spin exchange model

Cited by in corpus (122)

• Magnetic Pyrochlore Oxides
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Effects of frustration on magnetic molecules: a survey from Olivier Kahn till today
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Electronic band structure and exchange coupling constants in ACr2X4 spinels
• Spin-lattice instability to a fractional magnetization state in the spinel HgCr2O4
• Magnetic order induced crystal symmetry lowering in ACr${}_2$O${}_4$ ferrimagnetic spinels
• Disordered Ground State and Magnetic Field-Induced Long-Range Order in an S=3/2 Antiferromagnetic Honeycomb Lattice Compound Bi3Mn4O12(NO3)
• Unconventional magnetostructural transition in CoCr2O4 at high magnetic fields
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Spin phonon induced colinear order and magnetization plateaus in triangular and kagome antiferromagnets. Applications to CuFeO_2
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Magnetic phases of a highly frustrated magnet, ZnCr2O4, up to an ultra-high magnetic field of 600 T
• Quantum effects in a half-polarized pyrochlore antiferromagnet
• Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba${}_3$NiSb${}_2$O${}_9$
• Multiferroicity in the generic easy-plane triangular lattice antiferromagnet RbFe(MoO4)2
• Novel Phase Transitions in the Breathing Pyrochlore Lattice: 7Li-NMR on LiInCr4O8 and LiGaCr4O8
• Multicritical end-point of the first-order ferromagnetic transition in colossal magnetoresistive manganites
• Classical dimers and dimerized superstructure in orbitally degenerate honeycomb antiferromagnet
• Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
• Mapping the B,T phase diagram of frustrated metamagnet CuFeO2
• Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice
• Ground-state selection and spin-liquid behaviour in the classical Heisenberg model on the breathing pyrochlore lattice
• Multiple nearest-neighbor exchange model for the frustrated magnetic molecules Mo72Fe30 and Mo72Cr30
• Fragmentation in Frustrated Magnets -- A review
• Novel Magnetic Phases Revealed by Ultra-High Magnetic Field in the Frustrated Magnet ZnCr2O4
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Magneto-elastic quantum fluctuations and phase transitions in the iron superconductors
• Monte Carlo study of half-magnetization plateau and magnetic phase diagram in pyrochlore antiferromagnetic Heisenberg model
• Magnons and electromagnons in a spin-lattice-coupled frustrated magnet CuFeO2 as seen via inelastic neutron scattering
• Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• High-field recovery of the undistorted triangular lattice in the frustrated metamagnet CuFeO2
• Order by quenched disorder in the model triangular antiferromagnet RbFe(MoO4)2
• Interplay of Spin and Lattice Degrees of Freedom in the Frustrated Antiferromagnet CdCr_2O_4: High-field and Temperature Induced Anomalies of the Elastic Constants
• Magnetic Transitions under Ultrahigh Magnetic Fields of up to 130 T in the Breathing Pyrochlore Antiferromagnet LiInCr4O8
• Competition between supersolid phases and magnetisation plateaux in the frustrated easy-axis antiferromagnet on a triangular lattice
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet
• Semiclassical theory of the magnetization process of the triangular lattice Heisenberg model
• Magnetization Process of the Classical Heisenberg Model on the Shastry-Sutherland Lattice
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Magnetization plateaux induced by a coupling to the lattice
• Evidence for biquadratic exchange in the quasi-two-dimensional antiferromagnet FePS${}_3$
• Control of ferroelectric polarization via uniaxial pressure in the spin-lattice-coupled multiferroic CuFe1-xGaxO2
• Effective Hamiltonian for the Pyrochlore antiferromagnet: semiclassical derivation and degeneracy
• Frustration effects in antiferromagnetic molecules: the cuboctahedron
• Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds
• Manifolds of magnetic ordered states and excitations in the almost Heisenberg pyrochlore antiferromagnet MgCr2O4
• Broken discrete symmetries in a frustrated honeycomb antiferromagnet
• Partially disordered state and spin-lattice coupling in an S=3/2 triangular lattice antiferromagnet Ag2CrO2
• Method for Estimating Spin-Spin Interactions from Magnetization Curves
• Spin ordering induced by lattice distortions in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Magnetization process of the breathing pyrochlore magnet CuInCr${}_4$S${}_8$ in ultra-high magnetic fields up to 150 T
• Spin-lattice coupling in a ferrimagnetic spinel: The exotic $H$-$T$ phase diagram of MnCr${}_2$S${}_4$ up to 110 T
• Monopole holes in a partially ordered spin liquid
• Spin-lattice-coupled order in Heisenberg antiferromagnets on the pyrochlore lattice
• Neel to Spin-Glass-like Phase Transition versus Dilution in Geometrically Frustrated ZnCr_{2-2x}Ga_{2x}O_4
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field
• Supersolid phases in a realistic three-dimensional spin model
• Magnetic structure of the spin-1/2 frustrated quasi-one-dimensional antiferromagnet Cu3Mo2O9: Appearance of a partial disordered state
• Negative thermal expansion in the plateau state of a magnetically-frustrated spinel
• Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction
• Exact eigenstates of highly frustrated spin lattices probed in high fields
• Molecular spin-liquid state in spin-3/2 frustrated spinel HgCr${}_2$O${}_4$
• Realization of the Exactly Solvable Kitaev Honeycomb Lattice Model in a Spin Rotation Invariant System
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• Origin of magnetic freezing in the pyrochlore Y2Mo2O7
• Anharmonic Ground state selection in the pyrochlore antiferromagnet
• Electron spin resonance for the detection of long-range spin nematic order
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Symmetry considerations on the magnetization process of the Heisenberg model on the pyrochlore lattice
• Charge and spin correlations in the Monopole Liquid
• Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Signatures of a magnetic superstructure phase induced by ultrahigh magnetic fields in a breathing pyrochlore antiferromagnet
• High-Temperature Criticality in Strongly Constrained Quantum Systems
• Giant Magnetoelastic-Coupling Driven Spin-Lattice Liquid State in Molybdate Pyrochlores
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Field driven magnetostructural transitions in GeCo${}_2$O${}_4$
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Spin-Driven Bond Order in a 1/5-Magnetization Plateau Phase in a Triangular Lattice Antiferromagnet CuFeO2
• Chiral magnetism and helimagnons in a pyrochlore antiferromagnet
• Half-magnetization plateaux in Cr spinels
• Novel quantum phase of the chromium spinel oxide HgCr${}_2$O${}_4$ in high magnetic fields
• Spin-phonon induced magnetic order in Kagome ice
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• Magnetisation plateaux of the quantum pyrochlore Heisenberg antiferromagnet
• Coherent strong-coupling of terahertz magnons and phonons in a Van der Waals antiferromagnetic insulator
• The complex non-collinear magnetic orderings in Ba2YOsO6: A new approach to tuning spin-lattice interactions and controlling magnetic orderings in frustrated complex oxides
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet
• Hierarchical excitations from correlated spin tetrahedra on the breathing pyrochlore lattice
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• Topological solitons and bulk polarization switch in collinear type II multiferroics
• Optical detection of magnetic orders in HgCr${}_2$O${}_4$ frustrated spin magnet under pulsed high magnetic fields
• Unconventional magnets in external magnetic fields
• Metastable and localized Ising magnetism in $\alpha$-CoV${}_2$O${}_6$ magnetization plateaus
• Magnetization plateau of the $S=2$ antiferromagnetic Heisenberg chain with anisotropies
• Complex magnetic phase diagram with a small phase pocket in a three-dimensional frustrated magnet CuInCr${}_4$S${}_8$
• Degenerate ground state in the classical pyrochlore antiferromagnet Na${}_3$Mn(CO${}_3$)${}_2$Cl
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Determination of spin Hamiltonian in the Ni${}_4$ magnetic molecule
• Magnetoelectric coupling in a frustrated spinel studied using high-field scanning probe microscopy
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Influence of lattice distortions in classical spin systems
• On the complexity of spinels: Magnetic, electronic, and polar ground states
• Lattice dynamics and spin-phonon coupling in the kagome spin ice HoAgGe
• High-field phase diagram of the chiral-lattice antiferromagnet Sr(TiO)Cu4(PO4)4
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Magneto-elastic effects and magnetization plateaus in two dimensional systems
• Structural transition, spontaneous formation of strong singlet dimers and metamagnetism in $S=3/2$ magnetoelastic spin chains
• Quintuplet condensation in the skyrmionic insulator Cu2OSeO3 at ultrahigh magnetic fields
• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition
• Field-induced Multi-$\vec{\mathbf{Q}}$ States in a Pyrochlore Heisenberg Magnet
• Magnetic-field-induced transition from metastable spin glass to possible antiferromagnetic-ferromagnetic phase separation in $C{d}_{0.5}C{u}_{0.5}C{r}_2{O}_4$
• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice