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We present a unified approach to the problem of degeneracy lifting in geometrically frustrated magnets with and without an external field. The method treats fluctuations around a classical spin configuration in terms of a real-space…

Strongly Correlated Electrons · Physics 2015-03-23 M. E. Zhitomirsky

Frustrated magnets in high magnetic field have a long history of offering beautiful surprises to the patient investigator. Here we present the results of extensive classical Monte Carlo simulations of a variety of models of two dimensional…

Strongly Correlated Electrons · Physics 2009-03-26 L. Seabra , N. Shannon , P. Sindzingre , T. Momoi , B. Schmidt , P. Thalmeier

We study the magnetization process of the $S=1/2$ antiferromagnetic spin ladder in the presence of the second and the third-neighbor couplings which lead to frustration with the typical nearest-neighbor coupling. We use degenerate…

Strongly Correlated Electrons · Physics 2009-10-31 Nobuhisa Okazaki , Kiyomi Okamoto , Toru Sakai

Spin-1/2 orthogonal-dimer chain composed of regularly alternating Ising and Heisenberg dimers is exactly solved in a presence of the magnetic field by the transfer-matrix method. It is shown that the ground-state phase diagram involves in…

Statistical Mechanics · Physics 2020-09-04 L. Gálisová , J. Strečka , T. Verkholyak , S. Havadej

We investigate the properties in finite magnetic field of an extended anisotropic XXZ spin-1/2 model on the Kagome lattice, originally introduced by Balents, Fisher, and Girvin [Phys. Rev. B, 65, 224412 (2002)]. The magnetization curve…

Strongly Correlated Electrons · Physics 2015-11-10 X. Plat , F. Alet , S. Capponi , K. Totsuka

The antiferromagnetic Heisenberg model on the frustrated Shastry-Sutherland lattice is studied by a mapping onto spinless fermions carrying one quantum of statistical flux. Using a mean-field approximation these fermions populate the bands…

Strongly Correlated Electrons · Physics 2009-11-07 G. Misguich , Th. Jolicoeur , S. M. Girvin

We investigate the ground state magnetization plateaux appearing in spin 1/2 two-leg ladders built up from dimerized antiferromagnetic Heisenberg chains and dimerized zig-zag interchain couplings. Using both Abelian bosonization and Lanczos…

Condensed Matter · Physics 2009-10-31 D. C. Cabra , M. D. Grynberg

The magnetocaloric effect is studied at the transition to saturation in the antiferromagnetic spin-1/2 Heisenberg model on the simplest two-dimensional lattices, namely the square and the triangular lattice. Numerical results are presented…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , S. Wessel

We study the magnetization for the classical antiferromagnetic Ising model on the Shastry-Sutherland lattice using the tensor renormalization group approach. With this method, one can probe large spin systems with little finite-size effect.…

Strongly Correlated Electrons · Physics 2009-03-12 Ming-Che Chang , Min-Fong Yang

We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting…

Strongly Correlated Electrons · Physics 2025-12-03 Anna Keselman , Xinyuan Xu , Hao Zhang , Cristian D. Batista , Oleg A. Starykh

Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin-1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice…

Strongly Correlated Electrons · Physics 2009-10-31 A. Honecker

A spin-1/2 Heisenberg model on honeycomb lattice is investigated by doing triplon analysis and quantum Monte Carlo calculations. This model, inspired by Cu$_2$(pymca)$_3$(ClO$_4$), has three different antiferromagnetic exchange interactions…

Strongly Correlated Electrons · Physics 2021-09-15 Meghadeepa Adhikary , Arnaud Ralko , Brijesh Kumar

We study a frustrated two-leg spin-1/2 ladder with alternate Ising and isotropic Heisenberg rung exchange interactions, whereas, interactions along legs and diagonals are Ising type. The ground-state (GS) of this model has four exotic…

Strongly Correlated Electrons · Physics 2025-06-25 Sk Saniur Rahaman , Manoranjan Kumar , Shaon Sahoo

We examine and identify magnetoresistance mechanisms in 2D system containing a sizable concentration of magnetic ions. We argue that some of these mechanisms can serve as a tool to measure spin polarization. Lack of spin degeneracy and…

Lattice stability in a model of antiferromagnetic ring coupled to adiabatic phonons is investigated for different values of the spin and numbers of magnetic sites. The magneto-elastic transition is shown to be heavily affected by the spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Spanu , A. Parola

We study an anisotropic Heisenberg antiferromagnet with ferromagnetic transverse spin exchange using exact quantum Monte Carlo methods. Such a model is relevant to a class of rare earth tetraboride materials that display a range of…

Strongly Correlated Electrons · Physics 2013-10-02 Keola Wierschem , Pinaki Sengupta

Inspired by recent observations of the $1/3$ magnetization plateau in kagome-based magnets, we investigate the $J_1-J_2$ Heisenberg model on the kagome lattice under the influence of an external magnetic field. Although the classical ground…

Strongly Correlated Electrons · Physics 2026-03-20 Gabriel Capelo , Eric C. Andrade

We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic…

Strongly Correlated Electrons · Physics 2009-05-16 Andreas Luscher , Andreas Laeuchli

We examine the properties of the Bethe Ansatz solvable two- and three-leg spin-$S$ ladders. These models include Heisenberg rung interactions of arbitrary strength and thus capture the physics of the spin-$S$ Heisenberg ladders for strong…

Statistical Mechanics · Physics 2009-11-10 M. Maslen , M. T. Batchelor , J. de Gier

We predict magnetisation plateaux ground states for $S=1/2$ Heisenberg antiferromagnets on pyrochlore lattices by formulating arguments based on gauge and spin-parity transformations. We derive a twist operator appropriate to the pyrochlore…

Strongly Correlated Electrons · Physics 2019-09-25 Santanu Pal , Siddhartha Lal