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Related papers: A new paradigm for two-dimensional spin-liquids

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We investigate a one-dimensional S=1 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. Investigating the ground state energy of the static bond-alternating chain, we find that the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita

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 investigate the effect of ring-exchange on the ground-state properties and magnetic excitations of the $S = 1/2$ Heisenberg model on the anisotropic triangular lattice with ring-exchange at $T = 0$ using linear spin-wave theory.…

Strongly Correlated Electrons · Physics 2014-05-15 Michael Holt , Ben J. Powell , Jaime Merino

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

We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a $J_1$-$J_2$ Heisenberg model at 45$^\circ$ around a cylinder. Using Schwinger boson theory and Density Matrix Renormalization Group (DMRG), we have…

Strongly Correlated Electrons · Physics 2024-09-02 João C. Getelina , Zekun Zhuang , Premala Chandra , Piers Coleman , Peter P. Orth , S. L. Sondhi

Twisting moir\'e heterostructures to the flatband regime allows for the formation of strongly correlated quantum states, since the dramatic reduction of the bandwidth can cause the residual electronic interactions to set the principal…

Strongly Correlated Electrons · Physics 2020-03-31 Dominik Kiese , Finn Lasse Buessen , Ciarán Hickey , Simon Trebst , Michael M. Scherer

Recent numerical and analytical work has shown that for the square-lattice Heisenberg model the boundary can induce Dimer correlations near the edge which are absent in spin-wave theories and non-linear sigma model approaches. Here, we…

Strongly Correlated Electrons · Physics 2009-11-13 T. Pardini , R. R. P. Singh

It is generally believed that the spin-$\tfrac{1}{2}$ triangular-lattice $J_1$-$J_2$ Heisenberg model hosts a quantum spin liquid in the intermediate regime between the $120^\circ$ and stripe ordered phases. Density matrix renormalization…

Strongly Correlated Electrons · Physics 2026-03-11 Oleksandra Kovalska , Ester Pagès Fontanella , Benedikt Schneider , Hong-Hao Tu , Jan von Delft

We study the S=1 Heisenberg antiferromagnet on a spatially anisotropic triangular lattice by the numerical diagonalization method. We examine the stability of the long-range order of a three-sublattice structure observed in the isotropic…

Strongly Correlated Electrons · Physics 2013-04-05 Hiroki Nakano , Synge Todo , Toru Sakai

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

Quasiperiodic structures possess long range positional order, but are freed of constraints imposed by translational invariance. For spins interacting via Heisenberg couplings, one may expect therefore to find novel magnetic configurations…

Strongly Correlated Electrons · Physics 2008-10-15 Anuradha Jagannathan , Attila Szallas

The spin-1/2 triangular lattice antiferromagnet YbMgGaO$_{4}$ has attracted recent attention as a quantum spin-liquid candidate with the possible presence of off-diagonal anisotropic exchange interactions induced by spin-orbit coupling.…

Fermionic valence bond approach in terms of SU(4) representation is proposed to describe the $J_{1}-J_{2}$ frustrated Heisenberg antiferromagnetic (AF) model on a {\it bipartite} square lattice. A uniform mean field solution without…

Strongly Correlated Electrons · Physics 2009-11-10 Guang-Ming Zhang , Hui Hu , Lu Yu

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

By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\times$SU(2)$\times$U(1) symmetry on the triangular lattice. This model was proposed to describe some triangular $d^1$ materials and was argued to host a…

Strongly Correlated Electrons · Physics 2024-06-19 Yang Liu , Z. Y. Xie , Hong-Gang Luo , Jize Zhao

Motivated by experimental observation of the non-magnetic phase in the compounds with frustration and disorder, we study the ground state of the spin-$1/2$ square-lattice Heisenberg model with randomly distributed nearest-neighbor $J_1$ and…

Strongly Correlated Electrons · Physics 2023-01-23 Huan-Da Ren , Tian-Yu Xiong , Han-Qing Wu , D. N. Sheng , Shou-Shu Gong

Motivated by recent reports of a quantum disordered ground state in the triangular lattice compound NaRuO$_2$, we derive a $j_{\rm eff}=1/2$ magnetic model for this system by means of first-principles calculations. The pseudospin…

We investigate the $J_1$-$J_2$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is…

Strongly Correlated Electrons · Physics 2017-02-01 Alexander Wietek , Andreas M. Läuchli

In this paper we present a study of magnetic order of quantum Heisenberg spins on pyrochlore type lattices: a lattice of corner sharing tetrahedra. We use the Cluster Variation Approximation with the tetrahedron as basic cluster. We find…

Strongly Correlated Electrons · Physics 2007-05-23 Wiebe Geertsma

We report a muSR study of LiCrO2, which has a magnetic lattice made up of a stacking of triangular Heisenberg antiferromagnetic (Cr3+, S = 3/2) layers. A static magnetically ordered state is observed below the transition temperature T_N =…

Strongly Correlated Electrons · Physics 2009-06-09 A. Olariu , P. Mendels , F. Bert , L. K. Alexander , A. V. Mahajan , A. D. Hillier , A. Amato