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Using both exact diagonalizations and diagonalizations in a subset of short-range valence bond singlets, we address the nature of the groundstate of the Heisenberg spin-1/2 antiferromagnet on the square lattice with competing next-nearest…

Strongly Correlated Electrons · Physics 2007-05-23 M. Mambrini , A. Laeuchli , D. Poilblanc , F. Mila

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

We study the phase diagram of a frustrated spin-1/2 ferromagnetic chain with anisotropic exchange interactions in an external magnetic field, using the density matrix renormalization group method. We show that an easy-axis anisotropy…

Strongly Correlated Electrons · Physics 2009-10-29 F. Heidrich-Meisner , I. P. McCulloch , A. K. Kolezhuk

By means of the density matrix renormalization group (DMRG) method, the static spin structure factors and the magnetization plateaus of the trimerized Heisenberg ferromagnet-ferromagnet-antiferromagnet and…

Strongly Correlated Electrons · Physics 2008-03-11 Shou-Shu Gong , Bo Gu , Gang Su

Motivated by the experimental realization of quantum spin models of polar molecule KRb in optical lattices, we analyze the spin 1/2 dipolar Heisenberg model with competing anisotropic, long-range exchange interactions. We show that, by…

Quantum Gases · Physics 2017-08-03 Haiyuan Zou , Erhai Zhao , W. Vincent Liu

We use a recently proposed perturbative numerical renormalization group algorithm to investigate ground-state properties of a frustrated three dimensional Heisenberg model on an anisotropic lattice. We analyze the ground state energy, the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri , J. V. Alvarez

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

The exactly solvable spin-1/2 Ising-Heisenberg model on diamond chain has been considered. We have found the exact results for the magnetization by using recursion relation method. The existence of the magnetization plateau has been…

Statistical Mechanics · Physics 2014-07-23 N. S. Ananikian , V. V. Hovhannisyan

We have studied the ground state phase diagram of a spin ladder with alternating rung exchange $J^{n}_{\perp} = J_{\perp}[1 + (-1)^{n} \delta ]$ in a magnetic filed, in the limit where the rung coupling is dominant. In this limit the model…

Strongly Correlated Electrons · Physics 2015-06-25 G. I. Japaridze , E. Pogosyan

The two-dimensional spin-gap system ${\rm SrCu_2(BO_3)_2}$ shows unique physical properties due to the low-dimensionality character and the strong quantum fluctuations. Experimentally, 1/8-, 1/4-, and 1/3-plateaus have been observed in the…

Strongly Correlated Electrons · Physics 2009-11-10 Shin Miyahara , Federico Becca , Frederic Mila

The one dimensional spin-1/2 Heisenberg antiferromagnet in a weak magnetic field h is studied using the bosonization method. We derive a set of renormalization group equations. The fixed point is reached when the field is scaled to the…

Strongly Correlated Electrons · Physics 2009-10-31 Ping Sun , D. Schmeltzer

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

To search for a conceptual picture describing the magnetization plateau phenomenon, we surveyed the crystal structures and the spin lattices of those magnets exhibiting plateaus in their magnetization vs. magnetic field curves by probing…

Materials Science · Physics 2024-10-24 Myung-Hwan Whangbo , Hyun-Joo Koo , Reinhard K. Kremer , Alexander N. Vasiliev

Employing a method of exact diagonalization for finite-size systems, we investigate the magnetization curve in the ground state of an antiferromagnetic spin-1/2 ladder with additional exchange interactions on diagonal bonds, which is…

Strongly Correlated Electrons · Physics 2009-10-30 Takashi Tonegawa , Takeshi Nishida , Makoto Kaburagi

Motivated by theoretical and experimental studies reported by Yamaguchi et al. (Phys. Rev. B 98, 094402 (2018)), we performed a cluster mean-field analysis of an anisotropic Heisenberg model with six competing exchange interactions. We…

Strongly Correlated Electrons · Physics 2025-07-04 L. M. Ramos , F. M. Zimmer , M. Schmidt

The magnetization process of the $S=3/2$ quantum spin chain with the $XXZ$ anisotropy and the single-ion anisotropy $D$ is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. We…

Strongly Correlated Electrons · Physics 2025-05-13 Tomohide Kawatsu , Haruto Suzuki , Masaru Hashimoto , Koki Doi , Tomoki Houda , Rito Furuchi , Hiroki Nakano , Kiyomi Okamoto , Tôru Sakai

We study the magnetization process of the $S=1$ Heisenberg model on a two-leg ladder with farther neighbor spin-exchange interaction. We consider the interaction that couples up to the next-nearest neighbor rungs and find an exactly…

Strongly Correlated Electrons · Physics 2022-02-07 Hidehiko Kohshiro , Ryui Kaneko , Satoshi Morita , Hosho Katsura , Naoki Kawashima

The field induced magnetic phase transitions of Cs$_2$CuBr$_4$ were investigated by means of magnetization process and neutron scattering experiments. This system undergoes magnetic phase transition at Ne\'{e}l temperature…

Strongly Correlated Electrons · Physics 2009-11-10 T. Ono , H. Tanaka , O. Kolomiyets , H. Mitamura , T. Goto , K. Nakajima , A. Oosawa , Y. Koike , K. Kakurai , J. Klenke , P. Smeibidle , M. Meissner

The $S=1/2$ Heisenberg chains with bond alternation and randomness on the strong bonds are studied by the density matrix renormalization group method. It is assumed that the odd-th bond is antiferromagnetic with strength $J$ and even-th…

Strongly Correlated Electrons · Physics 2009-11-07 Kazuo Hida

Motivated by the numerous examples of 1/3 magnetization plateaux in the triangular lattice Heisenberg an- tiferromagnet with spins ranging from 1/2 to 5/2, we revisit the semiclassical calculation of the magnetization curve of that model,…

Strongly Correlated Electrons · Physics 2016-09-19 Tommaso Coletta , Tamás Tóth , Karlo Penc , Frédéric Mila
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