Spin ordering induced by lattice distortions in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice

Abstract

We theoretically investigate effects of lattice distortions on the spin ordering of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. In the model, local lattice distortions originating from the site vibration are taken into account to yield effective spin interactions via the spin-lattice coupling (SLC). The breathing lattice-alternation is characterized by the ratio of the nearest-neighbor interaction for large tetrahedra to that for small ones, J'/J. It is found by Monte Carlo simulations that the system exhibits a first-order transition into four different types of collinear magnetic ordered states. In the uniform case (J'/J=1), the state realized at stronger SLC is cubic-symmetric characterized by the (1/2,1/2,1/2) magnetic Bragg peaks, while the one at weaker SLC is tetragonal-symmetric characterized by the (1,1,0) ones. With increasing the breathing distortion (decreasing J'/J), the ordering pattern of the (1/2,1/2,1/2) state becomes non-cubic with its magnetic Bragg reflections almost unchanged, while the (1,1,0) state is robust. The non-cubic state peculiar to the breathing pyrochlores is further categorized into two types. We demonstrate that these two non-cubic orderings result in the massive degeneracy of the ground state and that the associated residual entropy per spin takes characteristic values of k_B ln(4)/16 and k_B ln(6)/16. Experimental implications of the results are discussed.

arXiv comment14 pages, 9 figures, 1 table

References in corpus (47)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet
• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
• Order by distortion and string modes in pyrochlore antiferromagnet
• Spin Driven Jahn-Teller Distortion in a Pyrochlore system
• Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
• Probing spin correlations with phonons in the strongly frustrated magnet ZnCr2O4
• Statics and dynamics of an incommensurate spin order in a geometrically frustrated antiferromagnet CdCr${}_2$O${}_4$
• Spin-Peierls phases in pyrochlore antiferromagnets
• Breathing Pyrochlore Lattice Realized in A-Site Ordered Spinel Oxides LiGaCr4O8 and LiInCr4O8
• Magnetic-induced phonon anisotropy in ZnCr${}_2$O${}_4$ from first principles
• Spin-phonon coupling in antiferromagnetic chromium spinels
• Spin-lattice instability to a fractional magnetization state in the spinel HgCr2O4
• Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Optical phonons, spin correlations, and spin-phonon coupling in the frustrated pyrochlore magnets CdCr2O4 and ZnCr2O4
• Spin phonon induced colinear order and magnetization plateaus in triangular and kagome antiferromagnets. Applications to CuFeO_2
• Experimental Realization of a Quantum Breathing Pyrochlore Antiferromagnet
• Short-range Magnetic interactions in the Spin-Ice compound Ho${}_2$Ti${}_2$O${}_7$
• Anisotropic exchange within decoupled tetrahedra in the quantum breathing pyrochlore Ba3Yb2Zn5O11
• 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
• Novel Phase Transitions in the Breathing Pyrochlore Lattice: 7Li-NMR on LiInCr4O8 and LiGaCr4O8
• Negative thermal expansion and magnetoelastic coupling in the breathing pyrochlore lattice material LiGaCr4S8
• Broken parity and a chiral ground state in the frustrated magnet CdCr2O4
• Spin phonon coupling in frustrated magnet CdCr${}_2$O${}_4$
• Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice
• Low-Energy Excitations and Ground State Selection in Quantum Breathing Pyrochlore Antiferromagnet Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$
• Magnetic Phase Diagram of the Breathing Pyrochlore Antiferromagnet LiGa1-xInxCr4O8
• Ground-state selection and spin-liquid behaviour in the classical Heisenberg model on the breathing pyrochlore lattice
• Novel Magnetic Phases Revealed by Ultra-High Magnetic Field in the Frustrated Magnet ZnCr2O4
• Monte Carlo study of half-magnetization plateau and magnetic phase diagram in pyrochlore antiferromagnetic Heisenberg model
• Magnetic and Structural Properties of A-Site Ordered Chromium Spinel Sulfides: Alternating Antiferromagnetic and Ferromagnetic Interactions in the Breathing Pyrochlore Lattice
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• 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
• Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder
• Classical Spin Nematic Transition in LiGa${}_{0.95}$In${}_{0.05}$Cr${}_4$O${}_8$
• Crystal Field Excitations in Breathing Pyrochlore Antiferromagnet Ba3Yb2Zn5O11
• Theory of antiferromagnetic Heisenberg spins on breathing pyrochlore lattice
• 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
• Lattice-coupled Antiferromagnet on Frustrated Lattices
• Magnetic Order and Charge Disproportionation in a Spin-ice type Kondo Lattice Model: Large Scale Monte Carlo Study
• Investigation of the complex magnetism in the breathing pyrochlore LiIn(Cr${}_{1-x}$Rh${}_x$)${}_4$O${}_8$

Cited by in corpus (16)

• Breathing chromium spinels: a showcase for a variety of pyrochlore Heisenberg Hamiltonians
• Hedgehog-lattice spin texture in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Magnetization process of the breathing pyrochlore magnet CuInCr${}_4$S${}_8$ in ultra-high magnetic fields up to 150 T
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Thermal Expansion and Volume Magnetostriction in Breathing Pyrochlore Magnets LiACr${}_4$X${}_8$ (A = Ga, In, X = O, S)
• Signatures of a magnetic superstructure phase induced by ultrahigh magnetic fields in a breathing pyrochlore antiferromagnet
• Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Hedgehog lattice and field-induced chirality in breathing-pyrochlore Heisenberg antiferromagnets
• Complex magnetic phase diagram with a small phase pocket in a three-dimensional frustrated magnet CuInCr${}_4$S${}_8$
• Zero-field miniature skyrmion crystal and chiral domain state in breathing-kagome antiferromagnets
• Breathing pyrochlore magnet CuGaCr${}_4$S${}_8$: Magnetic, thermodynamic, and dielectric properties
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Phase Diagram of a Spin-ice Kondo Lattice Model in a Breathing Pyrochlore Lattice
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Analytic description of spin waves in dipolar/octupolar pyrochlore magnets