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We show that short-range resonating-valence-bond correlations and long-range order can coexist in the ground state (GS) of a frustrated spin system. Our study comprises a comprehensive investigation of the quantum magnetism on the…

Strongly Correlated Electrons · Physics 2022-08-16 Long Yuan , Yuqian Zhao , Boqiang Li , Yiru Song , Yuanhua Xia , Benqiong Liu , Junfeng Wang , Yuesheng Li

We present specific-heat and neutron-scattering results for the \emph{S}=1/2 quantum antiferromagnet (dimethylammonium)(3,5-dimethylpyridinium)CuBr$_4$. The material orders magnetically at \emph{T}$_N$=1.99(2)\,K, and magnetic excitations…

The zero-temperature phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on an $AA$-stacked square-lattice bilayer is studied using the coupled cluster method implemented to very high orders. Both…

Strongly Correlated Electrons · Physics 2019-07-03 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter

Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum phases. In particular, a spin-liquid phase is present in…

Strongly Correlated Electrons · Physics 2007-05-23 M. Q. Weng , D. N. Sheng , Z. Y. Weng , Robert J. Bursill

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

Quantum Gases · Physics 2018-05-08 Ahmet Keles , Erhai Zhao

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

Strongly Correlated Electrons · Physics 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

We study the ground state properties of the S=$\frac{1}{2}$ Heisenberg antiferromagnet (HAF) on the triangular lattice with nearest-neighbour ($J$) and next-nearest neighbour ($\alpha J$) couplings. Classically, this system is known to be…

Condensed Matter · Physics 2009-10-22 R. Deutscher , H. U. Everts

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

Phase diagram of an Ising-spin Kondo lattice model on a triangular lattice near 1/3-filling is investigated by Monte Carlo simulation. We identify a partially disordered phase with coexistence of magnetic order and paramagnetic moments,…

Strongly Correlated Electrons · Physics 2012-10-23 Hiroaki Ishizuka , Yukitoshi Motome

We consider a spin-1/2 ladder with a ferromagnetic rung coupling J_\perp and inequivalent chains. This model is obtained by a twist (\theta) deformation of the ladder and interpolates between the isotropic ladder (\theta=0) and the SU(2)…

Strongly Correlated Electrons · Physics 2008-05-16 C. Brünger , F. F. Assaad , S. Capponi , F. Alet , D. N. Aristov , M. N. Kiselev

Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv…

Strongly Correlated Electrons · Physics 2013-09-18 R. F. Bishop , P. H. Y. Li , C. E. Campbell

Motivated by the recent experiment in NiGa$_2$S$_4$, the spin-1 Heisenberg model on a triangular lattice with the ferromagnetic nearest- and antiferromagnetic third-nearest-neighbor exchange interactions, $J_1 = -(1-p)J$ and $J_3 = pJ, J >…

Strongly Correlated Electrons · Physics 2014-06-12 P. Rubin , A. Sherman , M. Schreiber

We study magnetically ordered phases and their phase boundaries in the $J_1-J_2-J_3$ Heisenberg models on the honeycomb lattice using series expansions around N\'eel and different colinear and non-colinear magnetic states. An Ising…

Strongly Correlated Electrons · Physics 2013-05-29 J. Oitmaa , R. R. P. Singh

One dimensional S=1 antiferromagnetic Heisenberg chains with bond alternation and uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite size systems. We calculate the ground state phase diagram using…

Statistical Mechanics · Physics 2009-10-31 Wei Chen , Kazuo Hida , Bryan C. Sanctuary

Stimulated by recent experiments on materials representing the realization of the anisotropic Heisenberg spin-$1/2$ model on the triangular lattice, we explore further properties of such a model in the easy-axis regime $\alpha = J_\perp/J_z…

Strongly Correlated Electrons · Physics 2025-10-15 Martin Ulaga , Jure Kokalj , Takami Tohyama , Peter Prelovšek

We use linked-cluster expansions to analyze the quantum phase transitions between symmetry unbroken trivial and topological Haldane phases in two different spin-one chains. The first model is the spin-one Heisenberg chain in the presence of…

Strongly Correlated Electrons · Physics 2017-12-20 P. Adelhardt , J. Gritsch , M. Hille , D. A. Reiss , K. P. Schmidt

We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical…

Strongly Correlated Electrons · Physics 2020-12-08 Atanu Maity , Yasir Iqbal , Saptarshi Mandal

We consider a lattice model of itinerant electrons coupled to an array of localized classical Heisenberg spins. The nature of the ground state ordered magnetic phases that result from the indirect spin-spin coupling mediated by the…

Strongly Correlated Electrons · Physics 2017-05-25 Wenjian Hu , Richard T. Scalettar , Rajiv R. P. Singh

We study an isotropic Heisenberg spin-1/2 model on a trellis ladder which is composed of two $J_1-J_2$ zigzag ladders interacting through anti-ferromagnetic rung couplings $J_3$. The $J_1$ and $J_2$ are ferromagnetic zigzag spin interaction…

Strongly Correlated Electrons · Physics 2019-12-25 Debasmita Maiti , Manoranjan Kumar