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We predict that an external field can induce a spin order in highly frustrated classical Heisenberg magnets. We find analytically stabilization of collinear states by thermal fluctuations at a one-third of the saturation field for kagome…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky , A. Honecker , O. A. Petrenko

We have simulated the classical Heisenberg antiferromagnet on a triangular lattice using a local Monte Carlo algorithm. The behavior of the correlation length $\xi$, the susceptibility at the ordering wavevector $\chi(\bf Q)$, and the spin…

Condensed Matter · Physics 2009-10-28 M. Wintel , H. U. Everts , W. Apel

We analyzed the magnetic susceptibilities of several Cr spinels using two recent models for the geometrically frustrated pyrochlore lattice, the Quantum Tetrahedral Mean Field model and a Generalized Constant Coupling model. Both models can…

Strongly Correlated Electrons · Physics 2010-03-01 Ch. Kant , J. Deisenhofer , V. Tsurkan , A. Loidl

Frustrated magnets with degenerate ground states exhibit exotic ground states and rich phase structures when perturbations and/or thermal fluctuations lift the degeneracy. In two-dimensional models with short-range interactions, continuous…

Statistical Mechanics · Physics 2024-03-20 Fumiya Kakizawa , Takahiro Misawa , Hiroshi Shinaoka

We investigate spin diffusion in geometrically frustrated Heisenberg antiferromagnets. It is found that the diffusion constant gradually increases from its high temperature limit as the temperature approaches the peak temperature of the…

Strongly Correlated Electrons · Physics 2009-11-10 D. L. Huber

Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively…

Statistical Mechanics · Physics 2007-07-27 John M. Hopkinson , Sergei V. Isakov , Hae-Young Kee , Yong Baek Kim

A two-leg quenched random bond disordered antiferromagnetic spin$-1/2$ Heisenberg ladder system is investigated by means of stochastic series expansion (SSE) quantum Monte Carlo (QMC) method. Thermal properties of the uniform and staggered…

Strongly Correlated Electrons · Physics 2020-10-28 Ulvi Kanbur , Hamza Polat , Erol Vatansever

The response of an open spin chain with isotropic antiferromagnetic interactions to a uniform magnetic field is studied by classical Monte Carlo simulations. It is observed how the induced on-site magnetization is non uniform, due to the…

Strongly Correlated Electrons · Physics 2009-10-31 S. Botti , A. Rosso , R. Santachiara , F. Tedoldi

We present extensive Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice coupled to the lattice degrees of freedom. The…

Strongly Correlated Electrons · Physics 2009-11-11 Cedric Weber , Federico Becca , Frederic Mila

Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral…

Strongly Correlated Electrons · Physics 2025-06-03 A. S. Gubina , T. Ziman , M. E. Zhitomirsky

We report results from spin trimer-based cluster quantum Monte Carlo simulations for the thermodynamic properties of two-dimensional frustrated quantum antiferromagnets that are composed of weakly-coupled three-spin (trimer) clusters. In…

Strongly Correlated Electrons · Physics 2022-08-31 Lukas Weber , Nils Caci , Stefan Wessel

We report a comprehensive microscopic study of the frustrated quantum magnet PHCC, (C$_4$H$_{12}$N$_2$)Cu$_2$Cl$_6$, using density-functional band-structure calculations combined with numerical quantum many-body simulations of the…

Strongly Correlated Electrons · Physics 2025-12-22 Alexander A. Tsirlin , Oleg Janson , Ioannis Rousochatzakis

Low-temperature magnetization curves of the classical frustrated ferromagnetic chain in the external magnetic field near the transition point between the ferromagnetic and the helical phases is studied. It is shown that the calculation of…

Statistical Mechanics · Physics 2013-05-29 D. V. Dmitriev , V. Ya. Krivnov , N. Yu. Kuzminyh

Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Chenglong Jia , Jung Hoon Han

We discuss new high-field magnetization data recently obtained by Tsirlin et al. for layered vanadium phosphates in the framework of the square-lattice model. Our predictions for the saturation fields compare exceptionally well to the…

Strongly Correlated Electrons · Physics 2010-05-07 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier , Alexander A. Tsirlin

A bi-layer quantum frustrated antiferromagnet is studied using an effective action approach. The action derived from the microscopical Hamiltonian has the form of the O(3) non-linear sigma model. It is solved in the mean field approximation…

Condensed Matter · Physics 2009-10-28 A. Dotsenko

We have used Monte Carlo simulations, combined with finite-size scaling and two different real-space renormalization group approaches, to study a fully frustrated three-dimensional XY model on a simple cubic lattice. This model corresponds…

Superconductivity · Physics 2009-11-11 Kwangmoo Kim , David Stroud

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

We analyze the frustrated Heisenberg antiferromagnet defined on a honeycomb lattice using a Schwinger-boson mean-field theory. The spin-wave velocity and the susceptibility are presented as functions of the strength of the frustrating…

Condensed Matter · Physics 2009-10-22 Ann Mattsson , Per Fröjdh , Torbjörn Einarsson

Frustrated magnets are a notorious example where usual perturbative methods fail. Having recourse to an exact renormalization group approach, one gets a coherent picture of the physics of Heisenberg frustrated magnets everywhere between d=2…

Statistical Mechanics · Physics 2009-11-07 M. Tissier , B. Delamotte , D. Mouhanna