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In antiferromagnets, the interplay of spin frustration and spin-lattice coupling has been extensively studied as the source of complex spin patterns and exotic magnetism. Here, we demonstrate that, although neglected in the past, the…

Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. % As in many Fully Frustrated Lattices, the constraint due to the…

强关联电子 · 物理学 2009-11-07 Benjamin Canals , Dmitry Garanin

The zero-temperature ground-state (GS) properties and phase diagram of a frustrated spin-1 $J_{1}$--$J_{2}$ Heisenberg model on the checkerboard square lattice are studied, using the coupled cluster method. We consider the case where the…

强关联电子 · 物理学 2014-08-20 P H Y Li , R F Bishop , C E Campbell

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

强关联电子 · 物理学 2015-12-08 Owen Benton , Nic Shannon

Weak bond disorder disrupts the expected spin-liquid ground-state of the ideal $S$ = 1/2 Heisenberg pyrochlore antiferromagnet. Here we introduce a single crystal study of the structural and magnetic properties of the bond-disordered…

强关联电子 · 物理学 2023-07-12 Andrej Kancko , Gerald Giester , Ross H. Colman

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. The model is expected to serve as a reference system of SrCrGaO compound studied extensively. In…

统计力学 · 物理学 2015-06-24 Takuya Arimori , Hikaru Kawamura

Effects of local lattice distortions on the spin ordering are investigated for the antiferromagnetic classical Heisenberg model on the pyrochlore lattice. It is found by Monte Carlo simulations that the spin-lattice coupling (SLC)…

强关联电子 · 物理学 2016-07-19 Kazushi Aoyama , Hikaru Kawamura

We study the low-temperature physics of the $SU(2)$-symmetric spin-$1/2$ Heisenberg antiferromagnet on a pyrochlore lattice and find fingerprint evidence for the thermal spin-ice state in this frustrated quantum magnet. Our conclusions are…

强关联电子 · 物理学 2016-05-04 Yuan Huang , Kun Chen , Youjin Deng , Nikolay Prokof'ev , Boris Svistunov

Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction…

强关联电子 · 物理学 2009-11-10 Chenglong Jia , Jung Hoon Han

The antiferromagnetic Heisenberg model with easy-axis exchange anisotropy on the Kagome lattice is studied by means of Monte Carlo simulations. From equilibrium properties, we find that the values of the critical exponents associated with…

统计力学 · 物理学 2009-11-07 S. Bekhechi , B. W. Southern

We propose the idea of a spin-lattice liquid, in which spin and lattice degrees of freedom are strongly coupled and remain disordered and fluctuating down to low temperatures. We show that such a state arises naturally from a microscopic…

强关联电子 · 物理学 2019-06-12 Andrew Smerald , George Jackeli

The mixed spin-1/2 and spin-S Ising model on a decorated planar lattice accounting for lattice vibrations of decorating atoms is treated by making use of the canonical coordinate transformation, the decoration-iteration transformation, and…

统计力学 · 物理学 2018-11-19 Jozef Strecka , Matus Rebic , Onofre Rojas , Sergio Martins de Souza

For Ising spin models which bear the spin-ice type macroscopic (quasi-)degeneracy, conventional classical Monte Carlo (MC) simulation using single spin flips suffers from dynamical freezing at low temperatures ($T$). A similar difficulty is…

统计力学 · 物理学 2011-07-27 Hiroshi Shinaoka

Magnetoelastic properties of the spin-1/2 Ising-Heisenberg model on doubly decorated planar lattices partially amenable to lattice vibrations are examined within the framework of the harmonic approximation and decoration-iteration…

统计力学 · 物理学 2015-05-30 Jozef Strecka , Onofre Rojas , S. M. de Souza

The classical Heisenberg antiferromagnet on the pyrochlore lattice is macroscopically and continuously degenerate and the system remains disordered at all temperatures, even in the presence of weak dilution with nonmagnetic ions. We show…

无序系统与神经网络 · 物理学 2009-10-31 L. Bellier-Castella , M. J. P. Gingras , P. C. W. Holdsworth , R. Moessner

Magnetoelastic coupling, i.e., the change of crystal lattice induced by a spin order, is not only scientifically interesting, but also technically important. In this work, we propose a general microscopic model from first-principles…

材料科学 · 物理学 2015-06-24 X. Z. Lu , Xifan Wu , H. J. Xiang

Sm$_2$Ti$_2$O$_7$, a member of rare-earth titanate pyrochlores, exhibits dipolar-octupolar antiferromagnetism below $T_N$ = 0.35 K. We observed two ferroelectric transitions at 182 ($T_{FE1}$) and 52 K ($T_{FE2}$), significantly higher than…

材料科学 · 物理学 2024-07-30 S. Mukherjee , O. Ivashko , S. Majumdar , A. Kumar , S. Giri

As materials with suppressed ordering temperatures and enhanced ground state entropies, frustrated magnetic oxides are ideal candidates for cryogenic magnetocaloric refrigeration. While previous materials design has focused on tuning the…

The ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model with spatially anisotropic couplings on a square lattice are investigated by a spin-rotation-invariant Green's-function approach and by Lanczos diagonalizations…

强关联电子 · 物理学 2007-05-23 D. Ihle , C. Schindelin , A. Weisse , H. Fehske

We consider the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

强关联电子 · 物理学 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter