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We analyze the magnetization curve of the spin-1/2 kagome Heisenberg model in a magnetic field. Using state-of-the-art variational wavefunctions based on neural networks, we confirm the presence of robust magnetization plateaus at $m=1/3$,…

Strongly Correlated Electrons · Physics 2026-02-16 Andreas Raikos , Sylvain Capponi , Fabien Alet

The magnetization process of the spin-S Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. Our numerical-diagonalization data for small finite-size clusters with S=1, 3/2, 2, and 5/2 suggest…

Materials Science · Physics 2015-05-27 Hiroki Nakano , Toru Sakai

Spin-1/2 Heisenberg model on kagome lattice is a typical frustrated quantum spin system. A basic structure of kagome lattice is also present in kagome-strip lattice in one dimension, where a similar type of frustration is expected. We thus…

Strongly Correlated Electrons · Physics 2018-01-19 K. Morita , T. Sugimoto , S. Sota , T. Tohyama

We propose a modified spin-wave theory to study the 1/3 magnetization plateau of the antiferromagnetic Heisenberg model on the kagome lattice. By the self-consistent inclusion of quantum corrections, the 1/3 plateau is stabilized over a…

Strongly Correlated Electrons · Physics 2016-06-23 Zhong-Chao Wei , Hai-Jun Liao , Jing Chen , Hai-Dong Xie , Zhi-Yuan Liu , Zhi-Yuan Xie , Wei Li , Bruce Normand , Tao Xiang

We present numerical evidence that the spin-1/2 Heisenberg model on the two-dimensional checkerboard lattice exhibits several magnetization plateaux for m=0, 1/4, 1/2 and 3/4, where m is the magnetization normalized by its saturation value.…

Strongly Correlated Electrons · Physics 2017-01-26 Sylvain Capponi

We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group (DMRG) method with the sine-square deformation. We obtain magnetization plateaus at…

Strongly Correlated Electrons · Physics 2016-10-19 Katsuhiro Morita , Naokazu Shibata

Magnetization plateaus in quantum spin systems emerges in two-dimensional frustrated systems such as kagome lattice. The spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice is also appropriate for the study of magnetization…

Strongly Correlated Electrons · Physics 2018-03-16 Katsuhiro Morita , Takami Tohyama

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

The two-dimensional (2D) spin-1/2 kagome Heisenberg antiferromagnet is believed to host quantum spin liquid (QSL) states with no magnetic order, but its ground state remains largely elusive. An important outstanding question concerns the…

Strongly Correlated Electrons · Physics 2024-05-30 S. Suetsugu , T. Asaba , Y. Kasahara , Y. Kohsaka , K. Totsuka , B. Li , Y. Zhao , Y. Li , M. Tokunaga , Y. Matsuda

The magnetization process of the S=1 and 1/2 kagome Heisenberg antiferromagnet is studied by means of the numerical exact diagonalization method. It is found that the magnetization curve at zero temperature has a plateau at 1/3 of the full…

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

We generalize a class of Heisenberg antiferromagnets in one, two and three dimensions, which have been shown to exhibit magnetization plateaus for spin-1/2. In a certain parameter range of the general model, which is formally defined in D…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Naveen Surendran

A recently discovered kagome antiferromagnet $\rm{Y}_3\rm{Cu}_9(\rm{OH})_{19}\rm{Cl}_8$ has attracted significant interest due to its unique kagome lattice structure and magnetic properties. The kagome lattice has three types of exchange…

Strongly Correlated Electrons · Physics 2024-09-27 Kazu Bodaiji , Katsuhiro Morita , Yoshiyuki Fukumoto

The magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on two-dimensional square-kagome lattice is studied theoretically. The metamagnetic jumps exist in the magnetization process at the higher edge of the 1/3 and 2/3…

Strongly Correlated Electrons · Physics 2018-07-06 Yasumasa Hasegawa , Hiroki Nakano , Toru Sakai

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

We study the $S=1/2$ pyrochlore Heisenberg antiferromagnet in a magnetic field. Using large scale density-matrix renormalization group (DMRG) calculations for clusters up to $128$ spins, we find indications for a finite triplet gap, causing…

Strongly Correlated Electrons · Physics 2022-09-14 Imre Hagymási , Robin Schäfer , Roderich Moessner , David J. Luitz

We investigate the $S=2$ antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters and the level spectroscopy analysis. It is…

Strongly Correlated Electrons · Physics 2019-08-09 Tôru Sakai , Kiyomi Okamoto , Takashi Tonegawa

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 magnetization curve of the Heisenberg model on the quasi-one-dimensional kagome-strip lattice that shares the same lattice structure in the inner part with the two-dimensional kagome lattice. Our numerical calculations based on…

Strongly Correlated Electrons · Physics 2015-06-11 Tokuro Shimokawa , Hiroki Nakano

Magnetization processes of spin-1/2 Heisenberg ladders are studied using strong-coupling expansions, numerical diagonalization of finite systems and a bosonization approach. We find that the magnetization exhibits plateaux as a function of…

Strongly Correlated Electrons · Physics 2009-10-30 D. C. Cabra , A. Honecker , P. Pujol

The spin-1/2 antiferromagnetic Heisenberg model on a Kagome lattice is geometrically frustrated, which is expected to promote the formation of many-body quantum entangled states. The most sought-after among these is the quantum spin liquid…

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