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A method for the study of the ground states of lattice-gas models or equivalent spin models with extended-range interactions is developed. It is shown that effect of longer-range interactions can be studied in terms of the solution of the…

Statistical Mechanics · Physics 2015-06-19 Yu. I. Dublenych

Quasi-one-dimensional magnets can host an ordered longitudinal spin-density wave state (LSDW) in magnetic field at low temperature, when longitudinal correlations are strengthened by Ising anisotropies. In the S = 1/2 Heisenberg…

Strongly Correlated Electrons · Physics 2025-12-04 P. Mokhtari , S. Galeski , U. Stockert , S. E. Nikitin , R. Wawrzynczak , R. Kuechler , M. Brando , L. Vasylechko , O. A. Starykh , E. Hassinger

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 orthogonal dimer structure in the SrCu2(BO3)2 spin-1/2 magnet provides a realization of the Shastry-Sutherland model. Using a dimer-product variational wave function, we map out the phase diagram of the Shastry-Sutherland model…

Strongly Correlated Electrons · Physics 2015-03-17 Judit Romhanyi , Keisuke Totsuka , Karlo Penc

We study a generalized Shastry-Sutherland model for the material SrCu$_2$(BO$_3$)$_2$. Along a line in the parameter space, we can show rigorously that the model has a first order phase transition between Dimerized and N\'eel-ordered ground…

Strongly Correlated Electrons · Physics 2009-10-31 Erwin Müller-Hartmann , Rajiv R. P. Singh , Christian Knetter , Götz S. Uhrig

We present a magnetic model for an antiferromagnetic compound $\gamma$-Mn$_3$(PO$_4$)$_2$, which was previously shown to exhibit a 1/3 magnetization plateau due to the trimer-based structure of the lattice of magnetic Mn$^{2+}$ ions with…

Strongly Correlated Electrons · Physics 2026-04-24 P. A. Maksimov , L. V. Shvanskaya , O. S. Volkova , A. N. Vasiliev

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

Magnetoelectric properties are studied by a combined experimental and theoretical study of a quasi-two-dimensional material composed of square cupolas, Ba(TiO)Cu$_4$(PO$_4$)$_4$. The magnetization is measured up to above the saturation…

The quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer interactions in a magnetic field is considered by a rigorous approach. The model conserves the z-component of total spin on vertical…

Statistical Mechanics · Physics 2013-10-30 Taras Verkholyak , Jozef Strecka

The magnetization process of the orthogonal-dimer antiferromagnet SrCu2(BO3)2 is investigated in high magnetic fields of up to 118 T. A 1/2 plateau is clearly observed in the field range 84 to 108 T in addition to 1/8, 1/4 and 1/3 plateaux…

Strongly Correlated Electrons · Physics 2013-09-30 Y. H. Matsuda , N. Abe , S. Takeyama , H. Kageyama , P. Corboz , A. Honecker , S. R. Manmana , G. R. Foltin , K. P. Schmidt , F. Mila

Magnetization plateaus are some of the most striking manifestations of frustration in low-dimensional spin systems. We present numerical studies of magnetization plateaus in the fascinating spin-1/2 skewed ladder system obtained by…

Strongly Correlated Electrons · Physics 2020-05-27 Dayasindhu Dey , Sambunath Das , Manoranjan Kumar , S. Ramasesha

We investigate classical Heisenberg spins on the Shastry-Sutherland lattice and under an external magnetic field. A detailed study is carried out both analytically and numerically by means of classical Monte-Carlo simulations. Magnetization…

Strongly Correlated Electrons · Physics 2009-04-03 M. Moliner , D. C. Cabra , A. Honecker , P. Pujol , F. Stauffer

We investigate the phase diagram of TmB4, an Ising magnet on a frustrated Shastry-Sutherland lattice by neutron diffraction and magnetization experiments. At low temperature we find Neel order at low field, ferrimagnetic order at high field…

Strongly Correlated Electrons · Physics 2009-11-13 K. Siemensmeyer , E. Wulf , H. -J. Mikeska , K. Flachbart , S. Gabani , S. Matas , P. Priputen , A. Efdokimova , N. Shitsevalova

We study the one-dimensional spin-1/2 model with nearest and next-to-nearest-neighbor couplings exposed to a homogeneous magnetic field $h_{3}$ and a dimer field with period $q$ and strength $\delta$. The latter generates a magnetization…

Strongly Correlated Electrons · Physics 2016-08-15 A. Fledderjohann , C. Gerhardt , M. Karbach , K. -H. Mütter , R. Wießner

Magnetization plateaus, visible as anomalies in magnetic susceptibility at low temperatures, are one of the hallmarks of frustrated magnetism. We show how an extremely robust half-magnetization plateau can arise from coupling between spin…

Strongly Correlated Electrons · Physics 2009-11-10 K. Penc , N. Shannon , H. Shiba

We address the physical mechanism responsible for the emergence of magnetization plateaux in the Shastry-Sutherland model. By using a hierarchical mean-field approach we demonstrate that a plateau is stabilized in a certain {\it spin…

Strongly Correlated Electrons · Physics 2015-05-13 L. Isaev , G. Ortiz , J. Dukelsky

We show the importance of both strong frustration and spin-lattice coupling for the stabilization of magnetization plateaus in translationally invariant two-dimensional systems. We consider a frustrated spin-1/2 Heisenberg model coupled to…

Strongly Correlated Electrons · Physics 2009-11-13 Samuele Bissola , Valeria Lante , Alberto Parola , Federico Becca

In this work, we study the magnetization behaviors of the classical Ising model on the triangular lattice using Monte Carlo simulations, and pay particular attention to the effect of further-neighbor interactions. Several fascinating spin…

Strongly Correlated Electrons · Physics 2016-07-01 J. Chen , W. Z. Zhuo , M. H. Qin , S. Dong , M. Zeng , X. B. Lu , X. S. Gao , J. -M. Liu

We present a solvable ladder model which displays magnetization plateaus at fractional values of the total magnetization. Plateau signatures are also shown to exist along special lines. The model has isotropic Heisenberg interactions with…

Statistical Mechanics · Physics 2009-10-31 J. de Gier , M. T. Batchelor

We discuss magnetization curves of a toy-model trigonal and tetrahedral clusters. Nonlinearity of magnetization with local minimum of differential susceptibility resembling known magnetization plateaus of triangular-lattice and pyrochlore…

Strongly Correlated Electrons · Physics 2019-06-26 V. N. Glazkov