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We develop a novel method based in the sparse random graph to account the interplay between geometric frustration and disorder in cluster magnetism. Our theory allows to introduce the cluster network connectivity as a controllable…

Statistical Mechanics · Physics 2021-05-12 Alexandre Silveira , R. Erichsen , S. G. Magalhaes

In this work, we theoretically demonstrate that a strong enhancement of the Magnetocaloric Effect is achieved in geometrically frustrated cluster spin-glass systems just above the freezing temperature. We consider a network of clusters…

Disordered Systems and Neural Networks · Physics 2023-05-24 F. M. Zimmer , R. Mourao , M. Schmidt , M. A. Tumelero , S. G. Magalhaes

We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2015-07-10 M. Schmidt , F. M. Zimmer , S. G. Magalhaes

Quenched disorder effects on frustrated systems are explored by considering random fluctuations on the antiferromagnetic (AF) interactions between spins on the checkerboard lattice. The replica framework is adopted within a cluster…

Disordered Systems and Neural Networks · Physics 2022-04-13 F. M. Zimmer , W. C. Silva , M. Schmidt , S. G. Magalhaes

Recent studies of networks representing complex systems from the brain to social graphs have revealed their higher-order architecture, which can be described by aggregates of simplexes (triangles, tetrahedrons, and higher cliques). Current…

Soft Condensed Matter · Physics 2026-03-11 Bosiljka Tadic , Neelima Gupte

The interplay between geometric frustration (GF) and bond disorder is studied in the Ising kagome lattice within a cluster approach. The model considers antiferromagnetic (AF) short-range couplings and long-range intercluster disordered…

Strongly Correlated Electrons · Physics 2017-03-23 M. Schmidt , F. M. Zimmer , S. G. Magalhaes

Dimensionality is a critical factor in determining the properties of solids and is an apparent built-in character of the crystal structure. However, it can be an emergent and tunable property in geometrically frustrated spin systems. Here,…

Geometrically frustrated spin systems often do not exhibit long-range ordering, resulting in either quantum-mechanically disordered states, such as quantum spin liquids, or classically disordered states, such as spin ices or spin glasses.…

Strongly Correlated Electrons · Physics 2013-11-07 F. Kagawa , T. Sato , K. Miyagawa , K. Kanoda , Y. Tokura , K. Kobayashi , R. Kumai , Y. Murakami

Geometrically frustrated clusters of Ising spins of different shapes on a triangular lattice are studied by exact enumeration and Monte Carlo simulation. The focus is laid on the ground-state energy and residual entropy behaviors as…

Statistical Mechanics · Physics 2014-12-19 M. Žukovič , A. Bobák

Electron pairing and ferromagnetism in various cluster geometries are studied with emphasis on tetrahedron and square pyramid under variation of interaction strength, electron doping and temperature. These exact calculations of charge and…

Strongly Correlated Electrons · Physics 2008-04-08 A. N. Kocharian , G. W. Fernando , K. Palandage , J. W. Davenport

We study the impact of quenched disorder (random exchange couplings or site dilution) on easy-plane pyrochlore antiferromagnets. In the clean system, order-by-disorder selects a magnetically ordered state from a classically degenerate…

Strongly Correlated Electrons · Physics 2018-03-06 Eric C. Andrade , José A. Hoyos , Stephan Rachel , Matthias Vojta

Reentrant spin glasses are frustrated disordered ferromagnets developing vortex-like textures under an applied magnetic field. Our study of a Ni$_{0.81}$Mn$_{0.19}$ single crystal by small angle neutron scattering clarifies their internal…

Strongly Correlated Electrons · Physics 2018-07-24 I. Mirebeau , N. Martin , M. Deutsch , L. J. Bannenberg , C. Pappas , G. Chaboussant , R. Cubitt , C. Decorse , A. O. Leonov

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

Based on extensive parallel-tempering Monte Carlo simulations, we investigate the relationship between cluster percolation and equilibrium ordering phenomena in the three-dimensional $\pm J$ random-bond Ising model as one varies the…

Disordered Systems and Neural Networks · Physics 2026-03-05 Lambert Münster , Martin Weigel

We consider the effect of geometric frustration induced by the random distribution of loop lengths in the "fat" graphs of the dynamical triangulations model on coupled antiferromagnets. While the influence of such connectivity disorder is…

Disordered Systems and Neural Networks · Physics 2008-11-26 Martin Weigel , Des Johnston

We consider a regular random network where each node has exactly three neighbours. Ising spins at the network nodes interact antiferromagnetically along the links. The clustering coefficient $C$ is tuned from zero to 1/3 by adding new…

Disordered Systems and Neural Networks · Physics 2009-06-17 Anna Manka-Krason , Krzysztof Kulakowski

In spin-glass systems, frustration can be adjusted continuously and considerably, without changing the antiferromagnetic bond probability p, by using locally correlated quenched randomness, as we demonstrate here on hypercubic lattices and…

Disordered Systems and Neural Networks · Physics 2014-06-03 Efe Ilker , A. Nihat Berker

We present a computational study of sliding between gold clusters and a highly oriented pyrolytic graphite substrate, a material system that exhibits ultra-low friction due to structural lubricity. By means of molecular dynamics, it is…

Computational Physics · Physics 2023-03-27 Wai H. Oo , Mehmet Z. Baykara , Hongyu Gao

In the context of magnetism, frustration arises when a group of spins cannot find a configuration that minimizes all of their pairwise interactions simultaneously. We consider the effects of the geometric frustration that arises in a…

Statistical Mechanics · Physics 2015-05-19 A. Jagannathan , B. Motz , E. Vedmedenko

Magnetization, entropy and magnetocaloric properties of various geometrically frustrated tetrahedra-based Ising antiferromagnetic nanoclusters with corner-, edge-, and face-sharing topologies are studied by exact enumeration. It is found…

Strongly Correlated Electrons · Physics 2019-06-26 M. Mohylna , M. Žukovič
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