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We have studied the Heisenberg model on the triangular lattice using several Quantum Monte Carlo (QMC) techniques (up to 144 sites), and exact diagonalization (ED) (up to 36 sites). By studying the spin gap as a function of the system size…

Condensed Matter · Physics 2009-10-31 L. Capriotti , A. Trumper , S. Sorella

The correlation length of the square-lattice spin-1/2 Heisenberg antiferromagnet is studied in the low-temperature (asymptotic-scaling) regime. Our novel approach combines a very efficient loop cluster algorithm -- operating directly in the…

Strongly Correlated Electrons · Physics 2009-10-30 B. B. Beard , R. J. Birgeneau , M. Greven , U. -J. Wiese

The thermodynamics of the antiferromagnetic ordering transition in NiO and the photoelectron spectra in the antiferromagnetic phase are studied by the Variational Cluster Approximation. Using realistic Racah parameters to describe the…

Strongly Correlated Electrons · Physics 2015-04-01 R. Eder

In this work, we present an analysis of magnetic properties of weak ferrimagnets of the YFe$_{1-x}$Cr$_x$O$_3$ type. Taking into account the main spin interactions - isotropic Heisenberg superexchange, antisymmetric Dzyaloshinskii-Moriya…

Strongly Correlated Electrons · Physics 2024-12-24 E. V. Vasinovich , A. S. Moskvin

The temperature-dependent uniform magnetic susceptibility of interacting electrons in one dimension is calculated using several methods. At low temperature, the renormalization group reaveals that the Luttinger liquid spin susceptibility…

Strongly Correlated Electrons · Physics 2009-10-31 H. Nélisse , C. Bourbonnais , H. Touchette , Y. M. Vilk , A. -M. S. Tremblay

We have studied a classical antiferromagnet on a garnet lattice by means of Monte Carlo simulations in an attempt to examine the role of geometrical frustration in Gadolinium Gallium Garnet, Gd3Ga5O12 (GGG). Low-temperature specific heat,…

Strongly Correlated Electrons · Physics 2009-10-31 O. A. Petrenko , D. McK Paul

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently…

Strongly Correlated Electrons · Physics 2021-12-16 Sauri Bhattacharyya , Pinaki Majumdar

The behavior of the compensation temperature of a mixed Ising ferrimagnetic system on a square lattice in which the two interpenetrating square sublattices have spins $\sigma$ ($\pm 1/2$) and spins $S$ ($\pm 1,0$) has been studied with…

Materials Science · Physics 2007-05-23 G. M. Buendia , E. Machado , M. A. Novotny

We report an ultrasonic investigation of the elastic moduli on a single crystal of hexagonal YMnO_3 as a function of temperature. Stiffening anomalies in the antiferromagnetic N\'eel state below T_N = 72.4 K are observed on all the four…

Strongly Correlated Electrons · Physics 2007-08-07 Mario Poirier , Francis Laliberte , Loreynne Pinsard , Alexandre Revcolevschi

Specific heat and ac magnetic susceptibility measurements, spanning low temperatures ($T \geq 40$ mK) and high magnetic fields ($B \leq 14$ T), have been performed on a two-dimensional (2D) antiferromagnet Cu(tn)Cl$_{2}$ (tn =…

Using an approximation method for eigenvalue distribution functions, we study the temperature dependence of specific heat of the antiferromagnetic Heisenberg model on the asymmetric railroad-trestle lattice. This model contains both the…

Strongly Correlated Electrons · Physics 2007-05-23 Shunsuke Takemura , Yoshiyuki Fukumoto

The antiferromagnetic Heisenberg model on a pyrochlore lattice under external magnetic field is studied by classical Monte Carlo simulation. The model includes bilinear and biquadratic interactions; the latter effectively describes the…

Strongly Correlated Electrons · Physics 2007-05-23 Yukitoshi Motome , Karlo Penc , Nic Shannon

The three-dimensional XY model is investigated in the presence of a uniform magnetic field applied in the $X$-direction. The nearest neighbour intraplanar interaction is considered ferromagnetic, and the interplanar nearest neighbour…

Statistical Mechanics · Physics 2022-08-30 Muktish Acharyya , Erol Vatansever

The Heisenberg antiferromagnet on the maple-leaf lattice has recently gathered a great deal of attention. Competition between three nonequivalent bond interactions results in various ground-state quantum phases, the exact dimer-product…

Strongly Correlated Electrons · Physics 2025-09-03 Taras Hutak

We report calorimetric, magnetic, and neutron scattering studies on an S = 5/2, nearly Heisenberg triangular-lattice antiferromagnet K2Mn(SeO3)2 with weak XXZ easy-axis anisotropy. Multiple magnetic phases are identified, including a…

Strongly Correlated Electrons · Physics 2026-05-13 Mengze Zhu , V. Romerio , D. Moser , K. Yu. Povarov , R. Sibille , R. Wawrzynczak , Z. Yan , S. Gvasaliya , A. L. Chernyshev , A. Zheludev

The low temperature magnetization process of the ferromagnetic-antiferromagnetic Heisenberg chain is studied using the interacting boson approximation. In the low field regime and near the saturation field, the spin wave excitations are…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuo Hida

We study the low temperature properties of the triangular-lattice Heisenberg antiferromagnet with a mean field Schwinger spin-1/2 boson scheme that reproduces quantitatively the zero temperature energy spectrum derived previously using…

Strongly Correlated Electrons · Physics 2012-12-21 A. Mezio , L. O. Manuel , R. R. P. Singh , A. E. Trumper

We consider the square lattice Heisenberg antiferromagnet with plaquette ring exchange and a finite interlayer coupling leading to a consistent description of the spin-wave excitation spectrum in La2CuO4. The values of the in-plane exchange…

Strongly Correlated Electrons · Physics 2009-11-07 A. A. Katanin , A. P. Kampf

It is shown that a quasi two dimensional (layered) Heisenberg antiferromagnet with fully frustrated interplane couplings ({\it e.g.} on a body-centered tetragonal lattice) generically exhibits two thermal phase transitions with lowering…

Strongly Correlated Electrons · Physics 2009-11-11 Fang Chen , Jiangping Hu , Steven Kivelson , Stuart Brown

We study the ground-state properties of the S=1/2 antiferromagnetic Heisenberg model on the Union Jack strip lattice by using the exact-diagonalization and density matrix renormalization group methods. We confirm a region of the…

Strongly Correlated Electrons · Physics 2014-04-10 Tokuro Shimokawa , Hiroki Nakano