Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice

Abstract

We theoretically investigate spin-lattice coupling (SLC) effects on the in-field ordering properties of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. Here, we use the two possible simplified models describing the effect of local lattice distortions on the spin ordering via the SLC, the bond-phonon and site-phonon models. It is found by means of Monte Carlo simulations that in both models, the $\frac{1}{2}$ plateau shows up in the magnetization curve being relatively robust against the breathing bond-alternation, although magnetic long-range orders (LRO's) are realized only in the site-phonon model. In the bond-phonon model, additional further neighbor interactions are necessary to induce a magnetic LRO. In the site-phonon model, it is also found that in addition to the low-field, middle-field 1/2-plateau, and high-field phases appearing on both the uniform and breathing pyrochlore lattices, various types of unconventional phases which can be viewed as LRO's in units of tetrahedron are induced by the breathing bond-alternation just below the 1/2 plateau and the saturation field. The occurrence of these tetrahedron-based orders could be attributed to the nature characteristic of the breathing pyrochlore lattice, i.e., the existence of the nonequivalent small and large tetrahedra. Experimental implications of our result are also discussed.

arXiv comment18 pages, 13 figures

References in corpus (43)

• 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
• 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
• 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
• Spin-lattice instability to a fractional magnetization state in the spinel HgCr2O4
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• 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
• Breathing chromium spinels: a showcase for a variety of pyrochlore Heisenberg Hamiltonians
• 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
• Magnetic Phase Diagram of the Breathing Pyrochlore Antiferromagnet LiGa1-xInxCr4O8
• Low-Energy Excitations and Ground State Selection in Quantum Breathing Pyrochlore Antiferromagnet Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$
• 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
• Universal magnetic structure of the half-magnetization phase in Cr-based spinels
• Magnetic and Structural Properties of A-Site Ordered Chromium Spinel Sulfides: Alternating Antiferromagnetic and Ferromagnetic Interactions in the Breathing Pyrochlore Lattice
• Magnetic Transitions under Ultrahigh Magnetic Fields of up to 130 T in the Breathing Pyrochlore Antiferromagnet LiInCr4O8
• Cluster Frustration in the Breathing Pyrochlore Magnet LiGaCr4S8
• 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
• 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-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
• Negative thermal expansion in the plateau state of a magnetically-frustrated spinel
• Lattice-coupled Antiferromagnet on Frustrated Lattices
• Behavior of the breathing pyrochlore lattice Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$ in applied magnetic field
• Thermal Expansion and Volume Magnetostriction in Breathing Pyrochlore Magnets LiACr${}_4$X${}_8$ (A = Ga, In, X = O, S)
• Investigation of the complex magnetism in the breathing pyrochlore LiIn(Cr${}_{1-x}$Rh${}_x$)${}_4$O${}_8$
• Optical detection of magnetic orders in HgCr${}_2$O${}_4$ frustrated spin magnet under pulsed high magnetic fields

Cited by in corpus (4)

• Signatures of a magnetic superstructure phase induced by ultrahigh magnetic fields in a breathing pyrochlore antiferromagnet
• 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${}_8$
• Beyond Single Tetrahedron Physics of Breathing Pyrochlore Compound Ba3Yb2Zn5O11