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A complete and exact solution of the ground-state problem for the Ising model on the Shastry-Sutherland lattice in the applied magnetic field is found. The magnetization plateau at the one third of the saturation value is shown to be the…

Strongly Correlated Electrons · Physics 2015-03-09 Yuriy Dublenych

We investigated the classical Shastry-Sutherland lattice under an external magnetic field in order to understand the recently discovered magnetization plateaux in the rare-earth tetraborides compounds RB$_4$. A detailed study of the role of…

Strongly Correlated Electrons · Physics 2009-03-12 M. Moliner , D. C. Cabra , A. Honecker , P. Pujol , F. Stauffer

In the presence of a magnetic field frustrated spin systems may exhibit plateaus at fractional values of saturation magnetization. Such plateau states are stabilized by classical and quantum mechanisms including order-by-disorder, triplon…

Materials Science · Physics 2017-05-10 Linda Ye , Takehito Suzuki , Joseph. G. Checkelsky

A complete solution of the ground-state problem for an Ising model on the Shastry-Sutherland lattice with an additional interaction along the diagonals of "empty" squares in an applied magnetic field is presented. A rigorous proof is given…

Statistical Mechanics · Physics 2015-06-12 Yu. I. Dublenych

We present a simple model for a description of magnetization processes in rare-earth tetraborides. The model is based on the coexistence of two subsystems, and namely, the spin subsystem described by the Ising model and the electronic…

Strongly Correlated Electrons · Physics 2015-05-18 Pavol Farkašovský , Hana Čenčariková , Slavomir Mataš

Frustrated magnetic systems arising in geometrically constrained lattices represent rich platforms for exploring unconventional phases of matter, including fractional magnetization plateaus, incommensurate orders, and complex domain…

Motivated by the rapid experimental progress on the rare-earth Shastry-Sutherland lattice magnets, we propose a generic effective spin model that describes interacting non-Kramers local moments on the Shastry-Sutherland lattice. We point…

Strongly Correlated Electrons · Physics 2025-07-14 Guijing Duan , Rong Yu , Changle Liu

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

Under magnetic fields, quantum magnets often undergo exotic phase transitions with various kinds of order. The discovery of a sequence of fractional magnetization plateaus in the Shastry-Sutherland compound SrCu2(BO3)2 has played a central…

Strongly Correlated Electrons · Physics 2023-06-27 T. Nomura , P. Corboz , A. Miyata , S. Zherlitsyn , Y. Ishii , Y. Kohama , Y. H. Matsuda , A. Ikeda , C. Zhong , H. Kageyama , F. Mila

We investigate the low temperature magnetic phases in TmB_4, a metallic quantum magnet on the geometrically frustrated Shastry-Sutherland lattice, using co-ordinated experimental and theoretical studies. Our results provide an explanation…

Strongly Correlated Electrons · Physics 2015-12-30 Keola Wierschem , Sai Swaroop Sunku , Tai Kong , Toshimitsu Ito , Paul C. Canfield , Christos Panagopoulos , Pinaki Sengupta

The competing spin orders and fractional magnetization plateaus of classical Heisenberg model with long-range interactions on a Shastry-Sutherland lattice are investigated using Monte Carlo simulations, in order to understand the…

Strongly Correlated Electrons · Physics 2015-06-12 Liu Huo , Weichuan Huang , Zhibo Yan , Xingtao Jia , Xingsen Gao , Minghui Qin , Junming Liu

A review is given of the experimental situation and theoretical predictions concerning unconventional magnetic ordering in dense Kondo 4f- and 5f-systems, including recently investigated on cerium, ytterbium, and actinide based ternary…

Strongly Correlated Electrons · Physics 2017-11-16 V. Yu. Irkhin

We find unconventional Mott insulators in a quasi-2D version of the Shastry-Sutherland model in a magnetic field. In our realization on a 4-leg tube geometry, these are stabilized by correlated hopping of localized magnetic excitations.…

Strongly Correlated Electrons · Physics 2014-09-29 G. R. Foltin , S. R. Manmana , K. P. Schmidt

The experimental realization of various spin ladder systems has prompted their detailed theoretical investigations. Here we study the evolution of ground state magnetization with an external magnetic field for two different…

Strongly Correlated Electrons · Physics 2009-10-31 Kunj Tandon , Siddhartha Lal , Swapan K. Pati , S. Ramasesha , Diptiman Sen

An exact analytical solution of the ground state problem of the isotropic classical Heisenberg model on the Shastry-Sutherland lattice in external magnetic field $H$ is found for arbitrary ratio of diagonal to edge exchange constants…

Strongly Correlated Electrons · Physics 2013-08-06 Alexei Grechnev

The quantum phase transitions induced by a magnetic field are theoretically studied in a frustrated two-leg spin ladder. Using the density-matrix renormalization-group method, we find some magnetic phase transitions and plateaux in two…

Strongly Correlated Electrons · Physics 2015-09-16 Takanori Sugimoto , Michiyasu Mori , Takami Tohyama , Sadamichi Maekawa

Plateaus can be observed in the zero-temperature magnetization curve of quantum spin systems at rational values of the magnetization. In one dimension, the appearance of a plateau is controlled by a quantization condition for the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , J. Schulenburg , J. Richter

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

Both the basic electronic structure of tetraborides, and the changes across the lanthanide series in $R$B$_4$ ($R$ = rare earth) compounds, are studied using the correlated band theory LDA+U method in the all-electron Full Potential Local…

Materials Science · Physics 2013-05-29 Z. P. Yin , W. E. Pickett

Resonant magnetic x-ray diffraction experiments on the Shastry-Sutherland lattice TbB$_4$ were carried out under strong pulsed magnetic fields up to 30 T. TbB$_4$ exhibits a multi-step magnetization process above 16 T when magnetic fields…

Other Condensed Matter · Physics 2008-08-21 T. Inami , K. Ohwada , Y. H. Matsuda , Z. W. Ouyang , H. Nojiri , D. Okuyama , T. Matsumura , Y. Murakami
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