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We study the dependence of the magnetization M with magnetic field B at zero temperature in the spin-1/2 XXZ chain with nearest-neighbor (NN) J1 and next-NN J2 exchange interactions, with anisotropies Delta1 and Delta2 respectively. The…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia

It is widely accepted that the low-energy physics in edge-sharing cuprate materials has one-dimensional (1D) character. The relevant model to study such systems is believed to be the 1D extended Heisenberg model with ferromagnetic…

Strongly Correlated Electrons · Physics 2015-11-24 Evgeny Plekhanov , Adolfo Avella , Ferdinando Mancini

The magnetization process of the one-dimensional antiferromagnetic Heisenberg model with the Ising-like anisotropic exchange interaction is studied by the exact diagonalization technique. It results in the evidence of the first-order spin…

Statistical Mechanics · Physics 2009-10-31 Toru Sakai , Minoru Takahashi

Using Monte Carlo techniques, we show that the two--dimensional anisotropic Heisenberg model reproducing nicely inelastic neutron scattering measurements on La_5 Ca_9 Cu_24 O_41 (Matsuda et al. [Phys. Rev. B 68, 060406(R) (2003)]) seems to…

Statistical Mechanics · Physics 2009-11-10 R. Leidl , W. Selke

We investigate groundstate energies and magnetization curves in the one dimensional XXZ-model with next to nearest neighbour coupling $\alpha>0$ and anisotropy $\Delta$ ($-1 \le \Delta \le 1$) at T=0. In between the familiar ferro- and…

Condensed Matter · Physics 2016-08-15 C. Gerhardt , K. -H. Mütter , H. Kröger

The zero-temperature magnetization process of a one-dimensional S=1/2 spin system with next-nearest-neighbour coupling alpha and anisotropy delta is studied. There is a region in the parameter space where the magnetization has a jump at…

Strongly Correlated Electrons · Physics 2007-05-23 Shunsaku Hirata

The electronic states and magnetic properties for the copper oxides containing edge-sharing Cu-O chains such as Li$_2$CuO$_2$, La$_6$Ca$_8$Cu$_{24}$O$_{41}$ and CuGeO$_3$ are systematically studied. The optical conductivity $\sigma(\omega)$…

Strongly Correlated Electrons · Physics 2009-10-30 Yoshiaki Mizuno , Takami Tohyama , Sadamichi Maekawa , Tatsuaki Osafune , Naoki Motoyama , Hiroshi Eisaki , Shinichi Uchida

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 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

Magnetism in recently discovered van der Waals materials has opened new avenues in the study of fundamental spin interactions in truly two-dimensions. A paramount question is what effect higher-order interactions beyond bilinear Heisenberg…

Mesoscale and Nanoscale Physics · Physics 2020-10-30 Alexey Kartsev , Mathias Augustin , Richard F. L. Evans , Kostya S. Novoselov , Elton J. G. Santos

Many microscopic models with the interaction between the next-nearest neighbours as a key parameter for cuprate physics have inspired us to study the diagonal superexchange interaction in a CuO$_2$ layer. Our investigation shows that models…

Strongly Correlated Electrons · Physics 2025-10-23 V. A. Gavrichkov , S. I. Polukeev , S. G. Ovchinnikov

The mapping transformation technique is applied to obtain exact results for the spin-1/2 and spin-S (S=1/2,1) Ising-Heisenberg antiferromagnetic chain in the presence of an external magnetic field. Within this scheme, a field-induced…

Statistical Mechanics · Physics 2009-11-10 Jozef Strecka , Michal Jascur

Motivated by the complex phase diagram of MnWO4, we investigate competition between anisotropy, magnetic field, and helicity for the anisotropic next-nearest-neighbor Heisenberg model. Apart from two competing exchanges, which favor a…

Strongly Correlated Electrons · Physics 2016-07-15 M. V. Gvozdikova , T. Ziman , M. E. Zhitomirsky

We study the magnetization process of a 1D extended Heisenberg model, the $J$-$Q$ model, as a function of an external magnetic field. In this model, $J$ represents the traditional antiferromagnetic Heisenberg exchange and $Q$ is the…

Strongly Correlated Electrons · Physics 2017-05-30 Adam Iaizzi , Kedar Damle , Anders W. Sandvik

We investigate entanglement dynamics in the antiferromagnetic Heisenberg model in two dimensions following a spatially anisotropic quench of the exchange interactions. Opposed to established results in one dimension, the magnon…

Strongly Correlated Electrons · Physics 2022-03-16 G. Fabiani , J. H. Mentink

Inelastic neutron scattering (INS) from polycrystalline antiferromagnetic LaMnAsO, LaMnSbO, and BaMnAsF are analyzed using a $J_1-J_2-J_c$ Heisenberg model in the framework of the linear spin-wave theory. All three systems show clear…

Strongly Correlated Electrons · Physics 2020-05-04 Farhan Islam , Elijah Gordon , Pinaki Das , Yong Liu , Liqin Ke , Douglas L. Abernathy , Robert J. McQueeney , David Vaknin

We have considered the $S=1/2$ antiferromagnetic Heisenberg model in two dimensions, with an additional Ising \nnn interaction. Antiferromagnetic \nnn interactions will lead to frustration, and the system responds with flipping the spins…

Strongly Correlated Electrons · Physics 2015-06-25 J. Hove , A. Sudbø

Using density matrix renormalization group calculations, ground state properties of the spin-1 Heisenberg chain with exchange and single-ion anisotropies in an external field are studied. Our findings confirm and refine recent results by…

Statistical Mechanics · Physics 2009-04-27 D. Peters , I. P. McCulloch , W. Selke

The effect of the anisotropy in the exchange interaction on the phase diagrams and magnetization behavior of the Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling…

Statistical Mechanics · Physics 2015-06-17 Ümit Akıncı

Using Monte Carlo techniques, Ising models with ferromagnetic nearest-neighbor interactions on a simple cubic lattice are studied. At the surface transition, the critical exponent $\beta_2$ of the edge magnetization is found to be…

Condensed Matter · Physics 2009-10-31 M. Pleimling , W. Selke
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