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A spin-1/2 antiferromagnetic(AFM) generalised ladder model is constructed which consists of four-spin plaquettes, coupled through weaker exchange interactions, to two-spin rungs. In an extended parameter regime, the exact ground state of…

Condensed Matter · Physics 2007-05-23 Emily Chattopadhyay , Indrani Bose

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

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 magnetization process of the $S$=1/2 antiferromagnetic spin ladder with the four-spin cyclic exchange interaction at T=0 is studied by the exact diagonalization of finite clusters and size scaling analyses. It is found that a…

Strongly Correlated Electrons · Physics 2009-10-31 Toru Sakai , Yasumasa Hasegawa

We analyze the phase diagram of a system of spin-1/2 Heisenberg antiferromagnetic chains interacting through a zig-zag coupling, also called zig-zag ladders. Using bosonization techniques we study how a spin-gap or more generally plateaux…

Strongly Correlated Electrons · Physics 2015-03-03 D. C. Cabra , A. Honecker , P. Pujol

We study the magnetisation process of the one dimensional spin-1/2 antiferromagnetic Heisenberg model with modulated couplings over j=1,2,3 sites. It turns out that the evolution of magnetisation plateaus depends on j and on the wave number…

Strongly Correlated Electrons · Physics 2016-08-31 R. M. Wiessner , A. Fledderjohann , K. -H. Muetter , M. Karbach

The magnetization curve in a frustrated two-leg spin-ladder system is theoretically studied using both analytical and numerical methods. This spin system is mapped onto a hard-core boson system, which is composed of bond-operators…

Strongly Correlated Electrons · Physics 2017-11-06 Takanori Sugimoto , Michiyasu Mori , Takami Tohyama , Sadamichi Maekawa

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

We study the plateau of the magnetization curve at $M = M_{\rm s}/3$ ($M_{\rm s}$ is the saturation magnetization) of the $S=1/2$ trimerized $XXZ$ spin chain. By examining the level crossing of low-lying excitations obtained from the…

Statistical Mechanics · Physics 2009-10-31 Kiyomi Okamoto , Atsuhiro Kitazawa

We have found an unusual competition of two frustration mechanisms in the 2D quantum antiferromagnet Cs$_2$CoBr$_4$. The key actors are the alternation of single-ion planar anisotropy direction of the individual magnetic Co$^{2+}$ ions, and…

Strongly Correlated Electrons · Physics 2020-12-18 K. Yu. Povarov , L. Facheris , S. Velja , D. Blosser , Z. Yan , S. Gvasaliya , A. Zheludev

We study the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice by numerical diagonalization method. This system shows various behaviours that are different from that of the Cairo-pentagonal-lattice antiferromagnet. The…

Strongly Correlated Electrons · Physics 2024-10-16 Rito Furuchi , Hiroki Nakano , Norikazu Todoroki , Toru Sakai

Using density matrix renormalization group (DMRG) and perturbative continuous unitary transformations (PCUTs), we study the magnetization process in a magnetic field for all coupling strengths of a quasi-1D version of the 2D…

Other Condensed Matter · Physics 2011-06-22 Salvatore R. Manmana , Jean-David Picon , Kai P. Schmidt , Frédéric Mila

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

The frustrated quantum spin system on the distorted diamond chain lattice is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. In the previous work this system was revealed to…

Strongly Correlated Electrons · Physics 2020-04-22 Yuki Ueno , Tomosuke Zenda , Yuta Tachibana , Kiyomi Okamoto , Tôru Sakai

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

I analytically study the plateau of the magnetization curve at $M/M_{\rm S} = 1/3$ (where $M_{\rm S}$ is the saturation magnetization) of the one-dimensional $S=1/2$ trimerized Heisenberg spin system with ferromagnetic ($J_{\rm…

Condensed Matter · Physics 2009-10-28 Kiyomi Okamoto

We investigate the magnetic properties of quasi-one-dimensional quantum spin-S antiferromagnets. We use a combination of analytical and numerical techniques to study the presence of plateaux in the magnetization curve. The analytical…

Strongly Correlated Electrons · Physics 2011-09-23 C. A. Lamas , S. Capponi , P. Pujol

Two legged skewed spin-$\frac{1}{2}$ ladders are frustrated and exhibit exotic quantum phases in ground state due to strong quantum fluctuations and competing spin exchanges. Here, we study ground state properties of a spin-$\frac{1}{2}$…

Strongly Correlated Electrons · Physics 2024-11-19 Sambunath Das , Dayasindhu Dey , Manoranjan Kumar , S. Ramasesha

The $S=1/2$ distorted diamond spin chain with the anisotropic ferromagnetic interaction is investigated using the numerical diagonalization and the level spectroscopy analysis. It is known that the system exhibits a plateau of the…

Strongly Correlated Electrons · Physics 2022-05-17 Tôru Sakai , Kiyomi Okamoto , Hiroki Nakano , Rito Furuchi

This short review surveys phenomena observed when a magnetic field is applied to a system of localised spins on a lattice. Its focus is on frustrated magnets in dimension $d \geq 2$. The interplay of field and entropy is illustrated in the…

Strongly Correlated Electrons · Physics 2010-04-14 R. Moessner