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We use Monte Carlo (MC) methods to simulate a two-dimensional (2D) bond-diluted Ising model on the square lattice which has frustration between the nearest-neighbor interaction J1 and the next-nearest-neighbor interaction J2. In this paper,…

Statistical Mechanics · Physics 2018-06-27 Yining Xu , Dao-Xin Yao

The spin dynamics of the semiclassical Heisenberg model with uniaxial anisotropy, on the layered triangular lattice with antiferromagnetic coupling for both intralayer nearest neighbor interaction and interlayer interaction is studied both…

Strongly Correlated Electrons · Physics 2007-05-23 Ranjan Chaudhury

Geometrically frustrated materials have a ground-state degeneracy that may be lifted by subtle effects, such as higher order interactions causing small energetic preferences for ordered structures. Alternatively, ordering may result from…

Statistical Mechanics · Physics 2011-08-03 Yair Shokef , Anton Souslov , Tom C. Lubensky

Recent results for the Ising model with first ($J_1$) and second ($J_2$) neighbour interactions on the body-centered cubic (bcc) lattice suggest that this model can host signatures of strong frustration, including Schottky anomalies and…

Statistical Mechanics · Physics 2022-04-06 M. Schmidt , G. L. Kohlrausch , F. M. Zimmer

We study the phase diagram of the frustrated $t{-}t^\prime$ Hubbard model on the square lattice by using a novel variational wave function. Taking the clue from the backflow correlations that have been introduced long-time ago by Feynman…

Strongly Correlated Electrons · Physics 2010-09-23 Federico Becca , Luca F. Tocchio , Sandro Sorella

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

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…

Strongly Correlated Electrons · Physics 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

We study the thermodynamics of Ising spins on the triangular kagome lattice (TKL) using exact analytic methods as well as Monte Carlo simulations. We present the free energy, internal energy, specific heat, entropy, sublattice…

Statistical Mechanics · Physics 2008-04-28 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson

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…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. J. Arenzon , F. Ricci-Tersenghi , D. A. Stariolo

In this paper we study the spin transport in frustrated antiferromagnetic FCC films by Monte Carlo simulation. In the case of Ising spin model, we show that the spin resistivity versus temperature exhibits a discontinuity at the phase…

Materials Science · Physics 2015-05-19 Yann Magnin , K. Akabli , Hung The Diep

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…

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

Frustration in magnetic interactions can give rise to disordered ground states with subtle and beautiful properties. The spin ices Ho2Ti2O7 and Dy2Ti2O7 exemplify this phenomenon, displaying a classical spin liquid state, with…

Strongly Correlated Electrons · Physics 2017-12-11 Mathieu Taillefumier , Owen Benton , Han Yan , L. D. C. Jaubert , Nic Shannon

We study the ground-state properties of frustrated Heisenberg ferrimagnetic ladders with antiferromagnetic exchange interactions and two types of alternating sublattice spins. In the limit of strong rung couplings, we show that the mixed…

Strongly Correlated Electrons · Physics 2007-07-29 Shu Chen , Li Wang , Yupeng Wang

In this work a site diluted antiferromagntic Ising model in the FCC lattice is studied by Monte Carlo simulation. At low temperatures, we find that as the external field is increased the transition from the antiferromagnetic phase to the…

Statistical Mechanics · Physics 2007-05-23 A. J. F. de Souza , F. G. B. Moreira , J. R. L. de Almeida

We have studied a spin-1/2, ABA, Ising trilayer system with two different types of interactions, in-plane ferromagnetic and out-of-plane anti-ferromagnetic, among the lattice sites, on different layers. In the pure case, devoid of any…

Statistical Mechanics · Physics 2020-05-07 Soham Chandra , Muktish Acharyya

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

We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R = J_2/J_1 > 1/4$. It is known that for…

Statistical Mechanics · Physics 2020-07-08 M. Žukovič , M. Borovský , A. Bobák , T. Balcerzak , K. Szałowski

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

Quantum spin liquids (QSLs) represent a novel state where spins are highly entangled but do not order even at zero temperature due to strong quantum fluctuations. Such a state is mostly studied in Heisenberg models defined on geometrically…