English
Related papers

Related papers: Frustrated Ising Model on a Diamond Hierarchical L…

200 papers

We employ an effective-field theory with correlations in order to study the phase diagram and ground-state magnetizations of a selectively diluted Ising antiferromagnet on triangular and honeycomb lattices. Dilution of different sublattices…

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

We examine the $S=1/2$ Heisenberg magnet on four three-dimensional lattices - simple-cubic, diamond, pyrochlore, and hyperkagome ones - for ferromagnetic and antiferromagnetic signs of the exchange interaction in order to illustrate the…

Strongly Correlated Electrons · Physics 2025-12-30 T. Krokhmalskii , T. Hutak , O. Derzhko

We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sign. This model presents precursor phenomena of a glass…

Statistical Mechanics · Physics 2009-10-31 Giancarlo Franzese

We study the magnetization for the classical antiferromagnetic Ising model on the Shastry-Sutherland lattice using the tensor renormalization group approach. With this method, one can probe large spin systems with little finite-size effect.…

Strongly Correlated Electrons · Physics 2009-03-12 Ming-Che Chang , Min-Fong Yang

The spin-1/2 Ising diamond chain in a magnetic field displays a remarkable pseudo-transition whenever it is driven sufficiently close to a ground-state phase boundary between a classical ferrimagnetic phase and a highly degenerate…

Statistical Mechanics · Physics 2020-07-06 Jozef Strecka

We study a model for itinerant, strongly interacting fermions where a judicious tuning of the interactions leads to a supersymmetric Hamiltonian. On the triangular lattice this model is known to exhibit a property called superfrustration,…

Strongly Correlated Electrons · Physics 2014-12-04 L. Huijse , D. Mehta , N. Moran , K. Schoutens , J. Vala

We have studied the antiferromagnetic Ising model on the icosahedral bcc lattice, as a model system of 1/1 approximant Tsai-type quasicrystals. We addressed thermal equilibrium properties of this system with Markov-chain Monte Carlo…

Strongly Correlated Electrons · Physics 2026-04-03 Oscar Novat , Ludovic D. C. Jaubert , Masafumi Udagawa

We consider the $\pm J$ Ising model on a cubic lattice with a gauge-invariant disorder distribution. Disorder depends on a parameter $\beta_G$ that plays the role of a chemical potential for the amount of frustration. We study the model at…

Disordered Systems and Neural Networks · Physics 2019-04-30 Angelo Giorgio Cavaliere , Andrea Pelissetto

We study the frustrated dimer-plaquette quantum spin chain for ferromagnetic dimer bonds. This quantum system undergoes a series of first-order ground-state phase transitions driven by frustration or by a magnetic field. We find that the…

Strongly Correlated Electrons · Physics 2009-11-07 J. Schulenburg , J. Richter

The interplay between topology and energy-hierarchy plays a vital role in the collective magnetic order in artificial ferroic systems. Here we investigate, experimentally, the effect of having one or two activation energies of interacting…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Henry Stopfel , Unnar B. Arnalds , Aaron Stein , Thomas P. A. Hase , Björgvin Hjörvarsson , Vassilios Kapaklis

The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for different temperatures and construct the resulting phase diagram.…

Condensed Matter · Physics 2009-10-30 A. Z. Akheyan , N. S. Ananikian , S. K. Dallakian

In self-assembling systems, geometric frustration leads to complex states characterized by internal gradients of shape misfit. Frustrated assemblies have drawn recent interest due to the unique possibility that their thermodynamics can…

Soft Condensed Matter · Physics 2023-08-08 Nicholas W. Hackney , Christopher Amey , Gregory M. Grason

The thermodynamics of coupled frustrated ferromagnetic chains is studied within a spin-rotation-invariant Green's function approach. We consider an isotropic Heisenberg spin-half system with a ferromagnetic in-chain coupling $J_1<0$ between…

Strongly Correlated Electrons · Physics 2017-04-28 P. Müller , J. Richter , D. Ihle

As materials with suppressed ordering temperatures and enhanced ground state entropies, frustrated magnetic oxides are ideal candidates for cryogenic magnetocaloric refrigeration. While previous materials design has focused on tuning the…

It is predicted that strongly interacting spins on a frustrated lattice may lead to a quantum disordered ground state or even form a quantum spin liquid with exotic low-energy excitations. However, a thorough tuning of the frustration…

Strongly Correlated Electrons · Physics 2024-01-08 Jierong Wang , Y. -S. Su , M. Spitaler , P. Puphal , C. Krellner , S. E. Brown , A. Pustogow

We investigate the Ising model on a spherical surface, utilizing a Fibonacci lattice to approximate uniform coverage. This setup poses challenges in achieving consistent lattice distribution across the sphere for comparison with planar…

Computational Physics · Physics 2025-12-09 Zheng Zhou , Chen-Hui Song , Xu-Yang Hou , Hao Guo

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

In this work we revisit the Axial Third Nearest Neighbour Ising (A3NNI) chain and examine in detail some aspects of its phase behaviour ensuing from competing interactions and resulting frustration. We probe the phase behaviour with two…

Statistical Mechanics · Physics 2025-07-16 Soumen Khatua , Riekshika Sanwari , Vikram Patil , Anurag Sahay

Quantum antiferromagnets have proven to be some of the cleanest realizations available for theoretical, numerical, and experimental studies of quantum fluctuation effects. At finite temperatures, however, the additional effects of thermal…

Strongly Correlated Electrons · Physics 2016-04-28 A. Honecker , S. Wessel , R. Kerkdyk , T. Pruschke , F. Mila , B. Normand

Metastable Co$_2$Ti$_3$O$_8$ was synthesized through a topochemical reaction using Li$_2$CoTi$_3$O$_8$ as the precursor, resulting in a vacancy-ordered spinel structure. Crystal structure analysis confirmed that Co ions selectively occupy…

Strongly Correlated Electrons · Physics 2025-07-03 Rio Kumeda , Yuya Haraguchi , Daisuke Nishio-Hamane , Akira Matsuo , Koichi Kindo , Hiroko Aruga Katori