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Related papers: Exact diagonalization study of the anisotropic Hei…

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Numerical investigations of the XY model, the Heisenberg model and the J-J' Heisenberg model are conducted, using the exact diagonalisation, the numerical renormalisation and the density matrix renormalisation group approach. The low-lying…

High Energy Physics - Lattice · Physics 2015-02-02 Marcin Szyniszewski

We apply the coupled cluster method and exact diagonalzation to study the uniform susceptibility and the ground-state magnetization curve of the triangular-lattice spin-1 Heisenberg antiferromagnet. Comparing our theoretical data for the…

Strongly Correlated Electrons · Physics 2013-01-25 J. Richter , O. Götze , R. Zinke , D. J. J. Farnell , H. Tanaka

Inspired by the recent theoretical suggestion that the random-bond $S=1/2$ antiferromagnetic Heisenberg model on the triangular and the kagome lattices might exhibit a randomness-induced quantum spin liquid (QSL) behavior when the strength…

Strongly Correlated Electrons · Physics 2015-10-28 Tokuro Shimokawa , Ken Watanabe , Hikaru Kawamura

We study the anisotropic Heisenberg spin-glass model in a three-dimensional hierarchical lattice (designed to approximate the cubic lattice), within a real-space renormalization-group approach. Two different initial probability…

Statistical Mechanics · Physics 2007-05-23 J. Ricardo de Sousa , Beatriz Boechat , Claudette Cordeiro , N. S. Branco

Magnetic order on the spatially anisotropic triangular lattice of $\alpha$-NaMnO$_2$ is studied via neutron diffraction measurements. The transition into a commensurate, collinear antiferromagnetic ground state with $\mathbf{k}=(0.5, 0.5,…

Strongly Correlated Electrons · Physics 2018-11-14 Rebecca L. Dally , Robin Chisnell , Leland Harriger , Yaohua Liu , Jeffrey W. Lynn , Stephen D. Wilson

Motivated by the rich physics of honeycomb magnetic materials, we obtain the phase diagram and analyze magnetic properties of the spin-1/2 and spin-1 J1-J2-J3 Heisenberg model on the honeycomb lattice. Based on the SU(2) and SU(3) symmetry…

Strongly Correlated Electrons · Physics 2018-05-16 J. Merino , A. Ralko

The spiral spin liquid (SSL) is a highly degenerate state characterized by a continuous contour or surface in reciprocal space spanned by a spiral propagation vector. Although the SSL state has been predicted in a number of various…

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

A large variety of materials can be approximately described by means of spin-1/2 Heisenberg ladders. Here, the Density Matrix Renormalization Group (DMRG) algorithm together with a previously established numerical self-consistent mean-field…

Strongly Correlated Electrons · Physics 2026-02-18 Mateo Cárdenes Wuttig , Andrew J. Millis

Recently there has been considerable excitement surrounding the promising realization of high-spin Kitaev material, such as the quasi-2D compound CrI$_3$ and CrGeTe$_3$. However, the stability of quantum spin liquids (QSL) against single…

Strongly Correlated Electrons · Physics 2025-04-01 Gui-Xin Liu , Ting-Long Wang , Yi-Fan Jiang

The triangular lattice of S=1/2 spins with XXZ anisotropy is a ubiquitous model for various frustrated systems in different contexts. We determine the quantum phase diagram of the model in the plane of the anisotropy parameter and the…

Strongly Correlated Electrons · Physics 2014-04-04 Daisuke Yamamoto , Giacomo Marmorini , Ippei Danshita

We report calorimetric, magnetic, and neutron scattering studies on an S = 5/2, nearly Heisenberg triangular-lattice antiferromagnet K2Mn(SeO3)2 with weak XXZ easy-axis anisotropy. Multiple magnetic phases are identified, including a…

Strongly Correlated Electrons · Physics 2026-05-13 Mengze Zhu , V. Romerio , D. Moser , K. Yu. Povarov , R. Sibille , R. Wawrzynczak , Z. Yan , S. Gvasaliya , A. L. Chernyshev , A. Zheludev

In the present paper we study the phase diagram of the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line $J_2=J_3$ that include the point $J_2=J_3=J_1/2$, corresponding to the…

Strongly Correlated Electrons · Physics 2015-03-13 D. C. Cabra , C. A. Lamas , H. D. Rosales

The spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice represents one of the simplest examples in which the effets of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order…

Strongly Correlated Electrons · Physics 2020-07-15 Francesco Ferrari , Federico Becca

We use density matrix renormalization group (DMRG) algorithm to study the phase diagram of the spin-1/2 Heisenberg model on honeycomb lattice with first (J1) and second (J2) neighbor antiferromagnetic interactions, where a Z2 spin liquid…

Strongly Correlated Electrons · Physics 2013-11-13 Shou-Shu Gong , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

Spin helix states-characterized by their spatially modulated spin textures-are exact eigenstates of the one-dimensional anisotropic spin-$\frac{1}{2}$ Heisenberg model under specific parameter conditions. In this work, we extend this…

Mathematical Physics · Physics 2025-07-23 Mingchen Zheng , Chenguang Liang , Shu Chen , Xin Zhang

The spin-1 anisotropic Heisenberg model with a single-ion anisotropy is studied using the Oguchi's pair approximation. Although the theory is developed for lattices with general coordination number, we treat in detail the three-dimensional…

Statistical Mechanics · Physics 2007-05-23 Jan Dely , Jozef Strecka , Lucia Canova

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

We perform a finite size scaling study of the three-dimensional Heisenberg spin glass in the presence of weak random anisotropic interactions, up to sizes L=32. Anisotropies have a major impact on the phase transition. The chiral-glass…

Disordered Systems and Neural Networks · Physics 2015-03-17 V. Martin-Mayor , S. Perez-Gaviro

We investigate the effect of dimensional crossover in the ground state of the antiferromagnetic spin-$1$ Heisenberg model on the anisotropic triangular lattice that interpolates between the regime of weakly coupled Haldane chains…

Strongly Correlated Electrons · Physics 2017-11-27 M. G. Gonzalez , E. A. Ghioldi , C. J. Gazza , L. O. Manuel , A. E. Trumper