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Unconventional features of the magnetization curve at zero temperature such as plateaus or jumps are a hallmark of frustrated spin systems. Very little is known about their behavior at non-zero temperatures. Here we investigate the…

Strongly Correlated Electrons · Physics 2022-09-02 H. Schlüter , J. Richter , J. Schnack

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

We investigate the origin of the 1/3 magnetization plateau in the $S=1/2$ kagome antiferromagnetic Heisenberg model using the variational Monte Carlo and exact diagonalization methods, to account for the recent experimental observations in…

Strongly Correlated Electrons · Physics 2025-09-23 Li-Wei He , Xinzhe Wang , Shun-Li Yu , Jian-Xin Li

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 discuss the ground-state degeneracy of spin-$1/2$ kagome-lattice quantum antiferromagnets on magnetization plateaus by employing two complementary methods: the adiabatic flux insertion in closed boundary conditions and a 't Hooft anomaly…

Strongly Correlated Electrons · Physics 2020-11-30 Shunsuke C. Furuya , Yusuke Horinouchi , Tsutomu Momoi

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

The magnetization process of an S=1/2 antiferromagnet on the kagome lattice, [Cu_3(titmb)_2(OCOCH_3)_6]H_2O {titmb= 1,3,5-tris(imidazol-1-ylmethyl)-2,4,6 trimethylbenzene} has been measured at very low temperatures in both pulsed and steady…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Narumi , K. Katsumata , Z. Honda , J. -C. Domenge , P. Sindzingre , C. Lhuillier , Y. Shimaoka , T. C. Kobayashi , K. Kindo

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

Three different tensor network optimization algorithms are employed to accurately determine the ground state and thermodynamic properties of the spin-3/2 kagome Heisenberg antiferromagnet. We found that the $\sqrt{3} \times \sqrt{3}$ state,…

Strongly Correlated Electrons · Physics 2016-09-20 Tao Liu , Wei Li , Gang Su

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

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…

We study kagome lattice antiferromagnets where the effects of easy axis single-ion anisotropy ($D$) dominates over the Heisenberg exchange $J$. For $S \ge 3/2$, virtual quantum fluctuations help lift the extensive classical degeneracy. We…

Strongly Correlated Electrons · Physics 2009-11-13 Arnab Sen , Kedar Damle , Ashvin Vishwanath

We clarify the existence of several magnetization plateaux for the kagome $S=1/2$ antiferromagnetic Heisenberg model in a magnetic field. Using approximate or exact localized magnon eigenstates, we are able to describe in a similar manner…

Strongly Correlated Electrons · Physics 2013-10-30 Sylvain Capponi , Oleg Derzhko , Andreas Honecker , Andreas M. Läuchli , Johannes Richter

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 magnetization process of the S=1/2 Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. We successfully obtain a new result of the magnetization process of a 42-site cluster in the entire…

Strongly Correlated Electrons · Physics 2014-10-02 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

The nature of the 1/9-magnetization plateau of the spin-1/2 kagome Heisenberg antiferromagnet remains controversial due to the exotic physical properties and high complexity induced by the geometrical frustration. Instead of a Z3 quantum…

Strongly Correlated Electrons · Physics 2023-06-19 Da-zhi Fang , Ning Xi , Shi-Ju Ran , Gang Su

We perform high-field magnetization measurements on the triangular lattice antiferromagnet Fe$_{1/3}$NbS$_2$. We observe a plateau in the magnetization centered at approximately half the saturation magnetization over a wide range of…

For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagome lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finite-temperature Lanczos method for system sizes of up…

Strongly Correlated Electrons · Physics 2018-10-03 J. Schnack , J. Schulenburg , J. Richter

Numerical simulations find that there are multiple plateaus in the magnetization curve of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model(KAFH) at fractional magnetization $m=1/9,1/3,5/9,7/9$. While it is well known that…

Strongly Correlated Electrons · Physics 2025-07-29 Rong Cheng , Tao Li
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