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Using a specially designed Monte Carlo algorithm with directed loops, we investigate the triangular lattice Ising antiferromagnet with coupling beyond nearest neighbour. We show that the first-order transition from the stripe state to the…

Strongly Correlated Electrons · Physics 2016-05-11 Andrew Smerald , Sergey Korshunov , Frederic Mila

We study Ising antiferromagnets that have nearest-neighbour interactions on multilayer triangular lattices with frustrated ($abc$ and $abab$) stacking, and make comparisons with the unfrustrated ($aaa$) stacking. If interlayer couplings are…

Statistical Mechanics · Physics 2016-12-14 D. T. Liu , F. J. Burnell , L. D. C. Jaubert , J. T. Chalker

We report an excellent realization of the highly non-classical incommensurate spin-density wave (SDW) state in the quantum frustrated antiferromagnetic insulator Cs$_2$CoBr$_4$. In contrast to the well-known Ising spin chain case, here the…

Strongly Correlated Electrons · Physics 2022-08-19 L. Facheris , K. Yu. Povarov , S. D. Nabi , D. G. Mazzone , J. Lass , B. Roessli , E. Ressouche , Z. Yan , S. Gvasaliya , A. Zheludev

Magnetic frustrations and dimensionality play an important role in determining the nature of the magnetic long-range order and how it melts at temperatures above the ordering transition $T_N$. In this work, we use large-scale Monte Carlo…

Statistical Mechanics · Physics 2022-01-03 Matthew W. Butcher , Makariy A. Tanatar , Andriy H. Nevidomskyy

Low-temperature magnetization curves and thermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer with the antiferromagnetic intradimer interaction and either ferromagnetic or antiferromagnetic interdimer interaction are…

Statistical Mechanics · Physics 2018-11-28 Jozef Strecka , Katarina Karlova , Vasyl Baliha , Oleg Derzhko

Few years ago, application of the mean field Bethe scheme on a given system was shown to produce a systematic change of the system intrinsic symmetry. For instance, once applied on a ferromagnet, individual spins are no more equivalent.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Serge Galam , Pierre-Vincent Koseleff

We study low-temperature magnetization processes in a stacked triangular Ising antiferromagnet by Monte Carlo simulations. In increasing and decreasing magnetic fields we observe multiple steps and hysteresis corresponding to formation of…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , L. Mižišin , A. Bobák

Spin ice magnetic monopoles are fractionalized emergent excitations in a class of frustrated magnets called spin ices. The classical spin ice model has an extensive number of ground state spin configurations, whereas magnetic monopoles can…

Strongly Correlated Electrons · Physics 2018-07-09 Olga Petrova

In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. Therefore, it is explained how the respective ground state…

Disordered Systems and Neural Networks · Physics 2015-05-19 O. Melchert , A. K. Hartmann

The magnetic ground state of geometrically frustrated antiferromagnet attracts great research interests due to the possibility to realize novel quantum magnetic state such as a quantum spin liquid. Here we present a comprehensive magnetic…

Strongly Correlated Electrons · Physics 2025-06-09 Feihao Pan , Nan Zhao , Songnan Sun , Chenglin Shang , Peng Cheng , Jieming Sheng , Liusuo Wu

We synthesized a quasi-two-dimensional distorted triangular lattice antiferromagnet Ca$_3$CoNb$_2$O$_9$, in which the effective spin of Co$^{2+}$ is 1/2 at low temperatures, whose magnetic properties were studied by dc susceptibility and…

Strongly Correlated Electrons · Physics 2015-12-25 J. Dai , P. Zhou , P. S. Wang , F. Pang , T J. Munsie , G. M. Luke , J. S. Zhang , Weiqiang Yu

We investigate magnetic properties of a two-dimensional periodic structure with Ising spins and antiferromagnetic nearest neighbor interaction. The structure is topologically equivalent to the Archimedean (3,12^2) lattice. The ground state…

Statistical Mechanics · Physics 2007-05-23 M. J. Krawczyk , K. Malarz , B. Kawecka-Magiera , A. Z. Maksymowicz , K. Kulakowski

The Kitaev model, a honeycomb network of spins with bond-dependent anisotropic interactions, is a rare example of having a quantum spin liquid ground state. Although most Kitaev model candidate materials eventually order magnetically due to…

We consider an alternative to the usual spin glass paradigm for disordered magnetism, consisting of the previously unstudied combination of frustrated magnetic interactions and pseudo-dipolar disorder in spin positions. We argue that this…

Other Condensed Matter · Physics 2011-11-02 S. T. Banks , S. T. Bramwell

The three-dimensional (3D) magnet KBaFe$_2$(PO$_4$)$_3$ hosts a double-trillium lattice of Fe$^{3+}$ (spin, $S=5/2$) ions offering a prototypical platform to study the frustration induced effects in 3D. Through magnetization, specific heat,…

We use spin wave theory to investigate the ground state properties of the $Z_2$-invariant quantum XXZ model on the triangular lattice in the ferromagnetic phase. The Hamiltonian comprises nearest and next-nearest-neighbour Ising couplings,…

Strongly Correlated Electrons · Physics 2016-04-06 S. A. Owerre

We study the stationary properties of the Ising model that, while evolving towards its equilibrium state at temperature $T$ according to the Glauber dynamics, is stochastically reset to its fixed initial configuration with magnetisation…

Statistical Mechanics · Physics 2020-08-12 Matteo Magoni , Satya N. Majumdar , Gregory Schehr

The ground state, the entropy and the magnetic Gr\"uneisen parameter of the antiferromagnetic spin-1/2 Ising-Heisenberg model on a double sawtooth ladder are rigorously investigated using the classical transfer-matrix technique. The model…

Statistical Mechanics · Physics 2025-10-07 Hamid Arian Zad , Vadim Ohanyan , Azam Zoshki , Jozef Strečka

Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into a partially magnetized state occurs via…

Strongly Correlated Electrons · Physics 2009-11-11 M. E. Zhitomirsky , H. Tsunetsugu

We investigate the ground-state magnetic structure of the spin-$1/2$ XXZ antiferromagnet on the triangular lattice in the easy-axis regime using the density-matrix renormalization group. By applying spiral boundary conditions, we exactly…

Strongly Correlated Electrons · Physics 2026-04-17 Masahiro Kadosawa , Masaaki Nakamura , Yukinori Ohta , Satoshi Nishimoto