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Mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice with sublattices A, B and C are studied for two spin value distributions $(S_{\rm A},S_{\rm B},S_{\rm C})=(1/2,1/2,1)$ and $(1/2,1,1)$ by Monte Carlo simulations. The…

统计力学 · 物理学 2015-06-02 M. Žukovič , A. Bobák

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

统计力学 · 物理学 2019-01-31 Ran Huang , Purushottam D. Gujrati

Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

We report the single-crystal growth and the fundamental magnetic and thermodynamic properties of a rare-earth triangular lattice antiferromagnet CeCd$_3$As$_3$. In this rare-earth antiferromagnet, the Ce local moments form a perfect…

强关联电子 · 物理学 2016-12-13 Y. Q. Liu , S. J. Zhang , J. L. Lv , S. K. Su , T. Dong , Gang Chen , N. L. Wang

We investigate the role of a transverse field on the Ising square antiferromagnet with first-($J_1$) and second-($J_2$) neighbor interactions. Using a cluster mean-field approach, we provide a telltale characterization of the frustration…

统计力学 · 物理学 2019-01-23 N. Kellermann , M. Schmidt , F. M. Zimmer

We study the frustrated Ising model on the two-dimensional $L \times L$ square lattice with ferromagnetic (FM) nearest-neighbor and antiferromagnetic diagonal-neighbor interactions using the D-wave quantum annealing machine (D-QAM) with…

量子物理 · 物理学 2022-06-15 Hayun Park , Hunpyo Lee

We demonstrate that the Ising model on a general triangular graph with 3 distinct couplings $K_1,K_2,K_3$ corresponds to an affine transformed conformal field theory (CFT). Full conformal invariance of the $c= 1/2$ minimal CFT is restored…

高能物理 - 理论 · 物理学 2023-08-02 Richard C. Brower , Evan K. Owen

Neutron scattering experiment on NiS2 single crystal revealed a honeycomb pattern of the intensity distribution in reciprocal lattice space (continuous-line structure along the fcc zone boundary) providing the first direct evidence for…

强关联电子 · 物理学 2007-05-23 M. Matsuura , Y. Endoh , H. Hiraka , K. Yamada , K. Hirota , A. S. Mishchenko , N. Nagaosa , I. V. Solovyev

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

The mixed spin-(1/2, 3/2) Ising model on a decorated square lattice, which takes into account lattice vibrations of the spin-3/2 decorating magnetic ions at a quantum-mechanical level under the assumption of a perfect lattice rigidity of…

统计力学 · 物理学 2020-07-06 Jozef Strecka , Onofre Rojas , Sergio Martins de Souza

We present a treatment of the triangular lattice antiferromagnetic Ising model (TAFIM) based on a small number of elementary ideas common to statistical and solid-state physics. The TAFIM is represented as a reduced BCS model in one space,…

统计力学 · 物理学 2025-07-24 Amir Nourhani , Vincent H. Crespi , Paul E. Lammert

A triangulation is an embedding of a graph into a closed Riemann surface so that each face boundary is a 3-cycle of the graph. In this work, groundstate degeneracy in the antiferromagnetic Ising model on triangulations is studied. We show…

组合数学 · 数学 2011-10-13 Andrea Jiménez

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…

强关联电子 · 物理学 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

Obtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional…

强关联电子 · 物理学 2019-04-04 S. N. Saadatmand , S. D. Bartlett , I. P. McCulloch

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to…

凝聚态物理 · 物理学 2009-10-28 C. Zeng , C. L. Henley

The dynamical properties of a three dimensional model glass, the frustrated Ising lattice gas (FILG) are studied by Monte Carlo simulations. We present results of compression experiments, where the chemical potential is either slowly or…

无序系统与神经网络 · 物理学 2009-10-31 J. J. Arenzon , F. Ricci-Tersenghi , D. A. Stariolo

We report an artificial geometrically frustrated magnet based on an array of lithographically fabricated single-domain ferromagnetic islands. The islands are arranged such that the dipole interactions create a two-dimensional analogue to…

无序系统与神经网络 · 物理学 2009-11-11 R. F. Wang , C. Nisoli , R. S. Freitas , J. Li , W. McConville , B. J. Cooley , M. S. Lund , N. Samarth , C. Leighton , V. H. Crespi , P. Schiffer

Ca3Co2O6 is a frustrated magnet consisting of a triangular arrangement of chains of Ising spins. It shows regular magnetization steps vs magnetic field every 1.2 T that are metastable with very slow dynamics. This has puzzled the community…

We propose a class of quantum simulators for antiferromagnetic spin systems, based on coupled photonic cavities in presence of two-photon driving and dissipation. By modeling the coupling between the different cavities through a hopping…

量子物理 · 物理学 2019-07-24 Riccardo Rota , Vincenzo Savona

We study a three-leg spin-1/2 ladder with geometrically frustrated interleg interactions. We call this model an anisotropic triangular-strip (ATS) model. We numerically and field-theoretically show that its ground state belongs to a gapless…

强关联电子 · 物理学 2022-11-01 Yuichiro Hidaka , Shunsuke C. Furuya , Atsushi Ueda , Yasuhiro Tada