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We study numerically a two-dimensional random-bond Ising model where frustration can be tuned by varying the fraction $a$ of antiferromagnetic coupling constants. At low temperatures the model exhibits a phase with ferromagnetic order for…

Statistical Mechanics · Physics 2017-11-08 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Sanjay Puri

In the present study we investigate the effects of geometrical frustration on the XY model with antiferromagnetic (AFM) coupling on a triangular lattice, generalized by the inclusion of a third-order antinematic term (AN3). We demonstrate…

Strongly Correlated Electrons · Physics 2020-07-08 Matúš Lach , Milan Žukovič

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 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

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 investigate the effect of geometrical frustration on the $H$--$T$ phase diagrams of the classical Heisenberg antiferromagnets on triangular and kagome lattices. The phase diagrams for the two models are obtained from large scale Monte…

Strongly Correlated Electrons · Physics 2011-04-08 M. V. Gvozdikova , P. -E. Melchy , M. E. Zhitomirsky

The interplay of Coulomb repulsion and geometrical frustration on charge-driven quantum phase transitions is explored. The ground state phase diagram of an extended Hubbard model on an anisotropic triangular lattice relevant to…

Strongly Correlated Electrons · Physics 2011-10-27 L. Cano-Cortes , A. Ralko , C. Fevrier , J. Merino , S. Fratini

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the…

Statistical Mechanics · Physics 2021-10-15 Vanja Marić , Fabio Franchini , Domagoj Kuić , Salvatore Marco Giampaolo

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

We investigate the magnetocaloric properties of certain antiferromagnetic spin systems that have already been or very likely can be synthesized as magnetic molecules. It turns out that the special geometric frustration which is present in…

Strongly Correlated Electrons · Physics 2008-07-23 J. Schnack , R. Schmidt , J. Richter

The small-cluster exact-diagonalization calculations and the projector quantum Monte Carlo method are used to examine the competing effects of geometrical frustration and interaction on ferromagnetism in the Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-05-23 Pavol Farkasovsky

The effect of nonmagnetic impurities on the phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice is investigated. We present analytical arguments confirmed by numerical calculations that at zero temperature…

Strongly Correlated Electrons · Physics 2013-12-17 V. S. Maryasin , M. E. Zhitomirsky

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti

Within the framework of the effective-field theory with correlations we investigate effects of an external magnetic field and random site dilution on basic thermodynamic quantities, such as the magnetization and the magnetic susceptibility,…

Statistical Mechanics · Physics 2023-07-19 M. Borovský , M. Žukovič , A. Bobák

We examine theoretically a possibility of ferroelectricity caused by electronic charge order without inversion symmetry, motivated by layered iron oxides. Quantum electronic models in a paired-triangular lattice are analyzed by utilizing…

Strongly Correlated Electrons · Physics 2015-05-13 Tsutomu Watanabe , Sumio Ishihara

Geometric frustration is a broad phenomenon that results from an intrinsic incompatibility between some fundamental interactions and the underlying lattice geometry1-7. Geometric frustration gives rise to new fundamental phenomena and is…

Materials Science · Physics 2011-10-26 Narayani Choudhury , Laura Walizer , Sergey Lisenkov , L. Bellaiche

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

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

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
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