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The spin-1/2 J1-J2 antiferromagnet is a prototypical model for frustrated magnetism and one possible candidate for a realization of a spin liquid phase. The generalization of this system on the anisotropic square lattice is given by the…

强关联电子 · 物理学 2014-06-25 Alexandros Metavitsiadis , Daniel Sellmann , Sebastian Eggert

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation…

强关联电子 · 物理学 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

强关联电子 · 物理学 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

Searching for spin liquid states has long been attracting both experimentalists and theorists. In this article, we review recent density matrix renormalization group studies of the spin-1/2 XY model on the honeycomb lattice, with…

强关联电子 · 物理学 2014-12-16 Zhenyue Zhu , Steven R. White

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

强关联电子 · 物理学 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

Recent work has shown that the triangular lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg and XXZ antiferromagnets may exhibit coplanar or supersolid orders proximate to a gapless Dirac spin liquid phase. We explore a distinct…

强关联电子 · 物理学 2025-06-05 Anjishnu Bose , Kathleen Hart , Ruairidh Sutcliffe , Arun Paramekanti

Motivated by recent numerical discovery of a gapped spin liquid phase in spin-$1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model, we classify symmetric $Z_2$ spin liquids on triangular lattice in the Abrikosov-fermion representation. We…

强关联电子 · 物理学 2016-04-14 Yuan-Ming Lu

We study the $S=1/2$ Heisenberg model on the triangular lattice with nearest neighbor interaction $J_1$ and next nearest neighbor interaction $J_2$ with the density matrix renormalization group. We are able to study long open cylinders with…

强关联电子 · 物理学 2015-07-08 Zhenyue Zhu , Steven R. White

Recent numerical work (Nature 464, 847 (2010)) indicates the existence of a spin liquid phase (SL) that intervenes between the antiferromagnetic and semimetallic phases of the half filled Hubbard model on a honeycomb lattice. To better…

强关联电子 · 物理学 2011-08-18 B. K. Clark , D. A. Abanin , S. L. Sondhi

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

强关联电子 · 物理学 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

The intricate interplay between frustration and spin chirality has the potential to give rise to unprecedented phases in frustrated quantum magnets. We examine the ground state phase diagram of the spin-1/2 square lattice J1-J2-Jx model by…

强关联电子 · 物理学 2025-04-22 Jianwei Yang , Zhao Liu , Ling Wang

We study the spin-1/2 Heisenberg model on the square lattice with first- and second-neighbor antiferromagnetic interactions J1 and J2, which possesses a nonmagnetic region that has been debated for many years and might realize the…

强关联电子 · 物理学 2015-06-18 Shou-Shu Gong , Wei Zhu , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

Recent numerical studies of the $J_1$-$J_2$ model on a square lattice suggest a possible continuous phase transition between the N\'eel state and a gapped spin-liquid state with Z$_2$ topological order. We show that such a phase transition…

强关联电子 · 物理学 2014-06-23 Yang Qi , Zheng-Cheng Gu

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

强关联电子 · 物理学 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

We present extensive Monte Carlo simulations for a classical antiferromagnetic Heisenberg model with both nearest ($J_1$) and next-nearest ($J_2$) exchange couplings on the square lattice coupled to the lattice degrees of freedom. The…

强关联电子 · 物理学 2009-11-11 Cedric Weber , Federico Becca , Frederic Mila

Based on the mapping between $s=1/2$ spin operators and hard-core bosons, we extend the cluster perturbation theory to spin systems and study the whole excitation spectrum of the antiferromagnetic $J_{1}$-$J_{2}$ Heisenberg model on the…

强关联电子 · 物理学 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

强关联电子 · 物理学 2011-11-09 Seiji Yunoki , Sandro Sorella

Using variational wave functions and Monte Carlo techniques, we study the antiferromagnetic Heisenberg model with first-neighbor $J_1$ and second-neighbor $J_2$ antiferromagnetic couplings on the honeycomb lattice. We perform a systematic…

强关联电子 · 物理学 2017-10-06 Francesco Ferrari , Samuel Bieri , Federico Becca

We study possible spin liquids on square lattice that respect all lattice symmetries and time-reversal symmetry within the framework of Schwinger boson (mean-field) theory. Such spin liquids have spin gap and emergent Z_2 gauge field…

强关联电子 · 物理学 2016-08-03 Xu Yang , Fa Wang

We study the spin-$1/2$ Heisenberg model on the square lattice with the first and second nearest-neighbor antiferromagnetic couplings $J_1$, $J_2$, as well as the three-spin scalar chiral coupling $J_{\chi}$. Using density matrix…

强关联电子 · 物理学 2024-03-27 Xiao-Tian Zhang , Yixuan Huang , Han-Qing Wu , D. N. Sheng , Shou-Shu Gong
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