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We study a bilayer Ising spin system consisting of antiferromagnetic (AF) and ferromagnetic (FM) triangular planes, coupled by ferromagnetic exchange interaction, by standard Monte Carlo and parallel tempering methods. The AF/FM bilayer is…

Statistical Mechanics · Physics 2016-09-01 M. Žukovič , A. Bobák

Motivated by recent quantum Monte Carlo (QMC) simulations of the quantum Kagome ice model by Juan Carrasquilla, et al., [Nature Communications 6, 7421 (2015)], we study the ground state properties of this model on the triangular lattice. In…

Strongly Correlated Electrons · Physics 2016-03-30 S. A. Owerre

The entropy that an insulating magnetic material releases upon cooling can reveal important information about the properties of spin states in that material. In many geometrically frustrated (GF) magnetic compounds, the heat capacity…

Strongly Correlated Electrons · Physics 2025-11-06 Siyu Zhu , Arthur P. Ramirez , Sergey Syzranov

The tight binding model for an electron on an anisotropic triangular lattice in a uniform magnetic field is studied using a decimation scheme. The model exhibits a transition from critical to localized phase and the phase diagram is…

Condensed Matter · Physics 2007-05-23 Jukka A. Ketoja , Indubala I. Satija

We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation we show how a quench from a broken symmetry state leads to…

Quantum Physics · Physics 2024-03-06 Joseph Tindall , Dries Sels

The temperature and transverse field dependence of the entropy and the specific heat of ferroics in the quantum paramagnetic (QPa) state is investigated using the transverse Ising model (TIM) with different spin values within mean field and…

Strongly Correlated Electrons · Physics 2019-08-22 Cong Thanh Bach , Niem Tu Nguyen , Giang Huong Bach

The partition functions for two-dimensional nearest neighbour Ising model in a non-zero magnetic field have been derived for finite square lattices with the help of graph theoretical procedures, show-bit algorithm, enumeration of…

Statistical Mechanics · Physics 2010-06-03 G. Nandhini , M. Vinoth Kumar , M. V. Sangaranarayanan

Quantum simulation of the XXZ model with a two-component Bose or Fermi Hubbard model based on a Mott insulator background has been widely used in the investigations of quantum magnetism with ultracold neutral atoms. In most cases, the…

The interest in the physical properties of kagome lattices has risen considerably. In addition to the synthesis of new materials, the possibility of realizing ultracold atoms on an optical kagome lattice (KL) raises interesting issues. For…

Strongly Correlated Electrons · Physics 2023-04-26 Lucas O. Lima , Andressa R. Medeiros-Silva , Raimundo R. dos Santos , Thereza Paiva , Natanael C. Costa

Owing to a high degree of geometrical frustration an Ising antiferromagnet on a kagome lattice (IAKL) is known to exhibit no long-range ordering at any temperature, including the ground state. Nevertheless, at low temperatures it shows a…

Statistical Mechanics · Physics 2020-07-08 M. Semjan , M. Žukovič

The hexagonal polymorph of Ba$_3$Tb(BO$_3$)$_3$ contains Tb$^{3+}$ ions on a quasi-2D triangular lattice, resulting in geometric magnetic frustration. Powder samples of Ba$_3$Tb(BO$_3$)$_3$ have been investigated using specific heat, powder…

Strongly Correlated Electrons · Physics 2025-02-21 Nicola Kelly , Manh Duc Le , Denis Sheptyakov , Camilla Tacconis , Cheng Liu , Gavin Stenning , Peter Baker , Siân Dutton

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field $H$. The model consists of ferromagnetic interaction $J_{x}(J_{z})$ in the $x(z)$…

Statistical Mechanics · Physics 2012-06-29 Octavio D. R. Salmon , Minos A. Neto , J. Roberto Viana , Igor T. Padilha , J. R. de Sousa

The antiferromagnetic Ising model on a triangular lattice (AFIT) exemplifies the most classical frustration system, arising from its triangular geometry that prevents all interactions from being simultaneously satisfied. Understanding…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Ke Wang , Xing-Jian Liu , Li-Ming Tu , Jia-Jie Zhang , Vladimir N. Gladilin , Jun-Yi Ge

Ferromagnetism emerges when the Moire superlattice formed by stacking two graphene monolayers in a magic twist angle are filled with integer number electrons. This work investigates the ferromagnetism based on the Ising models for a…

Statistical Mechanics · Physics 2022-06-30 H. X. Zhang , Y. X. Gao , Z. J. Ding

We report new results on complex-temperature properties of Ising models. These include studies of the $s=1/2$ model on triangular, honeycomb, kagom\'e, $3 \cdot 12^2$, and $4 \cdot 8^2$ lattices. We elucidate the complex--$T$ phase diagrams…

High Energy Physics - Lattice · Physics 2009-10-28 Robert Shrock

The complex interplay of spin frustration and quantum fluctuations in low-dimensional quantum materials leads to a variety of intriguing phenomena. This research focuses on a detailed analysis of the magnetic behavior exhibited by NdZnPO, a…

We use an effective field model (transverse Ising model) to describe the dependence on the temperature of the energy gap of some two-dimensional $(2-D)$ superconducting systems. The order parameter of this model is put in a direct…

Superconductivity · Physics 2007-05-23 E. C. Bastone , P. R. Silva

Moire systems offer an exciting playground to study many-body effects of strongly correlated electrons in regimes that are not easily accessible in conventional material settings. Motivated by a recent experiment on…

Strongly Correlated Electrons · Physics 2023-06-07 Kyungmin Lee , Prakash Sharma , Oskar Vafek , Hitesh J. Changlani

Inspired by the program of discrete holography, we show that Jackiw-Teitelboim (JT) gravity on a hyperbolic tiling of Euclidean AdS$_2$ gives rise to an Ising model on the dual lattice, subject to a topological constraint. The Ising model…

High Energy Physics - Theory · Physics 2024-07-10 Johanna Erdmenger , Jonathan Karl , Yanick Thurn , Matthias Vojta , Zhuo-Yu Xian

We study the equilibrium properties of the nearest-neighbor Ising antiferromagnet on a triangular lattice in the presence of a staggered field conjugate to one of the degenerate ground states. Using a mapping of the ground states of the…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , Pinaki Chaudhuri , Chandan Dasgupta
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