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Related papers: Cluster-glass phase in pyrochlore XY antiferromagn…

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We study effects of quenched bond disorder in frustrated easy-plane antiferromagnets in two space dimensions, using a combination of analytical and numerical techniques. We consider local-moment systems which display non-collinear…

Strongly Correlated Electrons · Physics 2020-09-16 Santanu Dey , Eric C. Andrade , Matthias Vojta

XY pyrochlore antiferromagnets are well-known to exhibit order-by-disorder through both quantum and thermal selection. In this paper we consider the effect of substituting non-magnetic ions onto the magnetic sites in a pyrochlore XY model…

Disordered Systems and Neural Networks · Physics 2015-06-22 A. Andreanov , P. A. McClarty

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

We investigate the consequences for geometrically frustrated antiferromagnets of weak disorder in the strength of exchange interactions. Taking as a model the classical Heisenberg antiferromagnet with nearest neighbour exchange on the…

Strongly Correlated Electrons · Physics 2007-05-23 T. E. Saunders , J. T. Chalker

We consider frustrated Heisenberg antiferromagnets, whose clean-limit ground state is characterized by non-collinear long-range order with non-zero vector chirality, and study the effects of quenched bond disorder, i.e., random exchange…

Strongly Correlated Electrons · Physics 2020-02-03 Santanu Dey , Eric C. Andrade , Matthias Vojta

Examples of materials where an "order by disorder" mechanism is at play to select a particular ground state are scarce. It has recently been proposed, however, that the antiferromagnetic XY pyrochlore Er2Ti2O7, reveals a most convincing…

Strongly Correlated Electrons · Physics 2015-06-23 S. Petit , J. Robert , S. Guitteny , P. Bonville , C. Decorse , J. Ollivier , H. Mutka , M. J. P. Gingras , I. Mirebeau

We investigate the properties of the XY pyrochlore antiferromagnet with local <111> planar anisotropy. We find the ground states and show that the configurational ground state entropy is subextensive. By computing the free energy due to…

Statistical Mechanics · Physics 2014-04-11 Pawel Stasiak , Paul A. McClarty , Michel J. P. Gingras

The glassy behavior observed in the pyrochlore magnet Y2Mo2O7, where the magnetic Mo^{4+} ions interact predominantly via isotropic nearest neighbor antiferromagnetic exchange, possibly with additional weak disorder, is a distinct class of…

Statistical Mechanics · Physics 2010-09-08 Ka-Ming Tam , Adam J. Hitchcock , Michel J. P. Gingras

Ordering properties of XY-like spin-glass magnets with an easy-plane magnetic anisotropy are studied based on a symmetry consideration and the results of recent numerical simulations on the pure Heisenberg and XY spin-glass models. The…

Disordered Systems and Neural Networks · Physics 2015-05-27 Hikaru Kawamura

We investigate the effect of a unidirectional quenched random field on the anisotropic quantum spin-1/2 $XY$ model, which magnetizes spontaneously in the absence of the random field. We adopt mean-field approach to show that spontaneous…

Disordered Systems and Neural Networks · Physics 2016-07-25 Anindita Bera , Debraj Rakshit , Maciej Lewenstein , Aditi Sen De , Ujjwal Sen , Jan Wehr

Frustration in spin system can give rise to unique ordered states and as a consequence several physical phenomena are expected such as multiferroics, high temperature superconductors and anomalous hall effect. Here we report the "new…

Strongly Correlated Electrons · Physics 2018-08-01 GiBaik Sim , SungBin Lee

We consider a system of spins on the sites of a three-dimensional pyrochlore lattice of corner-sharing tetrahedra interacting with a predominant effective $xy$ exchange. In particular, we investigate the selection of a long-range ordered…

Statistical Mechanics · Physics 2015-06-22 Behnam Javanparast , Alexander G. R. Day , Zhihao Hao , Michel J. P. Gingras

Motivated by recent neutron scattering experiments, we derive and study an effective "pseudo-dipolar" spin-1/2 model for the XY pyrochlore antiferromagnet Er2Ti2O7. While a bond-dependent in-plane exchange anisotropy removes any continuous…

Strongly Correlated Electrons · Physics 2012-08-17 M. E. Zhitomirsky , M. V. Gvozdikova , P. C. W. Holdsworth , R. Moessner

We investigate the nature of phase transitions induced by Dzyaloshinskii-Moriya (DM) interactions on a classical pyrochlore antiferromagnet. For both symmetry-allowed antisymmetric exchange interactions, the macroscopic degeneracy due to…

Strongly Correlated Electrons · Physics 2010-08-19 Gia-Wei Chern

We study an effective spin model derived perturbatively from random transverse-field Ising model on the pyrochlore lattice. The model consists of spin-configurations on the pyrochlore lattice, restricted to the spin-ice subspace, with spins…

Strongly Correlated Electrons · Physics 2020-05-27 Anirudha Menon , Tom Pardini , Rajiv R. P. Singh

We develop a theory to investigate how geometrically frustrated clusters that become decorated affect the Cluster Spin Glass phase. The cluster structure is assumed to be a tetrahedron composed of Ising spins with z-anisotropy placed at its…

Statistical Mechanics · Physics 2025-07-31 S. G. Magalhaes , F. M. Zimmer , R. Erichsen

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

We demonstrate the appearance of thermal order by disorder in Ising pyrochlores with staggered antiferromagnetic order frustrated by an applied magnetic field. We use a mean-field cluster variational method, a low-temperature expansion and…

We study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Ryuichi Shindou , Gregory A. Fiete , Leon Balents

We study the effects of quenched charge disorder on the phase reconstruction near itinerant ferromagnetic quantum critical points in three spatial dimensions. Combining a replica disorder average with a fermionic version of the quantum…

Strongly Correlated Electrons · Physics 2013-06-27 S. J. Thomson , F. Krüger , A. G. Green
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