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The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

Strongly Correlated Electrons · Physics 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

Spin liquid ground states are predicted to arise within several distinct scenarios in condensed matter physics. The observation of these disordered magnetic states is particularly pervasive amongst a class of materials known as frustrated…

It is demonstrated that novel spin frustration can be induced in ferromagnets with nonuniform Land\'{e} $g$-factors. The frustrated state is characterized by a mutual interplay of typical ferromagnetic (FM) and antiferromagnetic (AF)…

Strongly Correlated Electrons · Physics 2024-02-28 Wei-Guo Yin , Christopher R. Roth , Alexei M. Tsvelik

Spin nematic order is investigated for a S=1 spin model on triangular lattice with bilinear-biquadratic interactions. We particularly studied an antiferro nematic order phase with three-sublattice structure, and magnetic properties are…

Strongly Correlated Electrons · Physics 2007-05-23 Hirokazu Tsunetsugu , Mitsuhiro Arikawa

The spin-1/2 Ising-Heisenberg three-leg tube composed of the Heisenberg spin triangles mutually coupled through the Ising inter-triangle interaction is exactly solved in a zero magnetic field. By making use of the local conservation for the…

Statistical Mechanics · Physics 2016-12-16 Jozef Strecka , Raphael Cavalcante Alecio , Marcelo Lyra , Onofre Rojas

The three-dimensional frustrated spin lattice in MgCrGaO4, where Cr3+ ions occupy a pyrochlore-like network, exemplifies a quantum magnet with competing interactions, macroscopic degeneracy, and exotic low-energy excitations. Using…

Strongly Correlated Electrons · Physics 2026-03-17 U. Jena , S. Kundu , Suheon Lee , Q. Faure , F. Damay , S. Rols , Adam Berlie , S. Petit , Kwang-Yong Choi , P. Khuntia

Frustration refers to the inability to satisfy competing interactions simultaneously, often leading to a large number of degenerate ground states. This can suppress ordering tendencies, sometimes resulting in a spin liquid phase. An…

Strongly Correlated Electrons · Physics 2014-07-30 Stefan Buhrandt , Lars Fritz

In this paper, we study the spin excitation properties of the frustrated triangular-lattice antiferromagnet Yb(BaBO$_3$)$_3$ with nuclear magnetic resonance. From the spectral analysis, neither magnetic ordering nor spin freezing is…

Strongly Correlated Electrons · Physics 2020-08-03 K. Y. Zeng , Long Ma , Y. X. Gao , Z. M. Tian , L. S. Ling , Li Pi

The spin-$\frac12$ triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this model has been proposed to be realized in the…

Strongly Correlated Electrons · Physics 2022-03-30 Matías G. Gonzalez , Bernard Bernu , Laurent Pierre , Laura Messio

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 study multilayer triangular lattice Ising antiferromagnets with interlayer interactions that are weak and frustrated in an abc stacking. By analysing a coupled height model description of these systems, we show that they exhibit a…

Statistical Mechanics · Physics 2016-01-05 F. J. Burnell , J. T. Chalker

Recent experiment on a honeycomb-lattice Heisenberg antiferromagnet (AF) Bi$_3$Mn$_4$O$_{12}$(NO$_3$) revealed a novel spin-liquid-like behavior down to low temperature, which was ascribed to the frustration effect due to the competition…

Strongly Correlated Electrons · Physics 2015-05-18 Soichiro Okumura , Hikaru Kawamura , Tsuyoshi Okubo , Yukitoshi Motome

A "supercooled" liquid develops when a fluid does not crystallize upon cooling below its ordering temperature. Instead, the microscopic relaxation times diverge so rapidly that, upon further cooling, equilibration eventually becomes…

Magnetic skyrmions are topological quasiparticles of great interest for data storage applications because of their small size, high stability, and ease of manipulation via electric current. Antiferromagnetic (AF) skyrmions, with new…

Strongly Correlated Electrons · Physics 2023-05-09 M. Mohylna , F. A. Gómez Albarracín , M. Žukovič , H. D. Rosales

Quantum spin liquids are a new class of magnetic ground state in which spins are quantum mechanically entangled over macroscopic scales. Motivated by recent advances in the control of polar molecules, we show that dipolar interactions…

Strongly Correlated Electrons · Physics 2018-04-23 Norman Y. Yao , Michael P. Zaletel , Dan M. Stamper-Kurn , Ashvin Vishwanath

Frustrated magnetic systems exhibit highly degenerate ground states and strong fluctuations, often leading to new physics. An intriguing example of current interest is the antiferromagnet on a diamond lattice, realized physically in A-site…

Materials Science · Physics 2011-09-21 G. J. MacDougall , D. Gout , J. L. Zarestky , G. Ehlers , A. Podlesnyak , M. A. McGuire , D. Mandrus , S. E. Nagler

Triangular Heisenberg antiferromagnets are prototypes of geometric frustration, even if for nearest-neighbor interactions quantum fluctuations are not usually strong enough to destroy magnetic ordering: stronger frustration is required to…

Strongly Correlated Electrons · Physics 2021-11-04 C. Wellm , W. Roscher , J. Zeisner , A. Alfonsov , R. Zhong , R. J. Cava , A. Savoyant , R. Hayn , J. van den Brink , B. Büchner , O. Janson , V. Kataev

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