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We study the ground-state (gs) phase diagram of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ antiferromagnet with $J_{2} = J_{3} =\kappa J_1$ on the honeycomb lattice, using coupled-cluster theory and exact diagonalization methods. We…

强关联电子 · 物理学 2011-07-11 D. J. J. Farnell , R. F. Bishop , P. H. Y. Li , J. Richter , C. E. Campbell

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

The ground state phase of spin-1/2 $J_1$-$J_2$ antiferromagnetic Heisenberg model on square lattice around the maximally frustrated regime ($J_2\sim 0.5J_1$) has been debated for decades. Here we study this model using the cluster update…

强关联电子 · 物理学 2016-08-24 Ling Wang , Zheng-Cheng Gu , Frank Verstraete , Xiao-Gang Wen

The theory for the vanishing of N\'eel order in the spin $S=1/2$ square lattice antiferromagnet has been the focus of attention for many decades. A consensus appears to have emerged in recent numerical studies on the antiferromagnet with…

强关联电子 · 物理学 2025-09-09 Leyna Shackleton , Alex Thomson , Subir Sachdev

Using the density-matrix renormalization group method for the ground state and excitations of the Shastry- Sutherland spin model, we demonstrate the existence of a narrow quantum spin liquid phase between the previously known…

强关联电子 · 物理学 2022-03-01 Jianwei Yang , Anders W. Sandvik , Ling Wang

We study a possible deconfined quantum phase transition in a realistic model of a two-dimensional Shastry-Sutherland quantum magnet, using both numerical and field theoretic techniques. Using the infinite density matrix renormalization…

强关联电子 · 物理学 2019-11-27 Jong Yeon Lee , Yi-Zhuang You , Subir Sachdev , Ashvin Vishwanath

We study possible paramagnetic phases of antiferromagnets on the Shastry-Sutherland lattice by a gauge-theoretic analysis of fluctuations in a theory with Sp(2N) symmetry. In addition to the familiar dimer phase, we find a confining phase…

强关联电子 · 物理学 2007-05-23 C. H. Chung , J. B. Marston , Subir Sachdev

We consider the zero-temperature properties of the spin-half two-dimensional Shastry-Sutherland antiferromagnet by using a high-order coupled cluster method (CCM) treatment. We find that this model demonstrates various groundstate phases…

强关联电子 · 物理学 2007-05-23 R. Darradi , J. Richter , D. J. J. Farnell

We investigate the ground-state phase diagram of the $S$=1/2 XXZ model on the two-dimensional Shastry-Sutherland lattice using exact diagonalization (ED), density-matrix renormalization group (DMRG), and cluster mean-field theory (CMFT)…

强关联电子 · 物理学 2026-02-02 Zhengpeng Yuan , Muwei Wu , Dao-Xin Yao , Han-Qing Wu

We perform an in-depth investigation of the phase diagram of the $J_1-J_2$ Heisenberg model on the square lattice. We take advantage of Density Matrix Renormalization Group and Fully-Augmented Matrix Product States methods and reach…

强关联电子 · 物理学 2024-04-09 Xiangjian Qian , Mingpu Qin

Using the density-matrix renormalization group, we determine the phase diagram of the spin 1/2 Heisenberg antiferromagnet on a honeycomb lattice with a nearest neighbor interaction J1 and a frustrating, next-neighbor exchange J2. As…

强关联电子 · 物理学 2013-05-14 R. Ganesh , Jeroen van den Brink , Satoshi Nishimoto

Berry phase interference arguments that underlie the theory of deconfined quantum criticality (DQC) for spin-$\frac{1}{2}$ antiferromagnets have also been invoked to allow for continuous transitions in spin-1 magnets including a N\'eel to…

强关联电子 · 物理学 2026-01-30 Vikas Vijigiri , Sumiran Pujari , Nisheeta Desai

Motivated by the novel phenomena observed in the layered material $\rm SrCu_2(BO_3)_2$, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for $\rm SrCu_2(BO_3)_2$. However, the nature of its quantum phase…

强关联电子 · 物理学 2024-07-11 Wen-Yuan Liu , Xiao-Tian Zhang , Zhe Wang , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

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 emergence of exotic quantum phenomena in frustrated magnets is rapidly driving the development of quantum many-body physics, raising fundamental questions on the nature of quantum phase transitions. Here we unveil the behaviour of…

强关联电子 · 物理学 2024-01-29 Wen-Yuan Liu , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find…

强关联电子 · 物理学 2010-05-03 Kingshuk Majumdar , Trinanjan Datta

The zero-temperature ground-state (GS) properties and phase diagram of a frustrated spin-1 $J_{1}$--$J_{2}$ Heisenberg model on the checkerboard square lattice are studied, using the coupled cluster method. We consider the case where the…

强关联电子 · 物理学 2014-08-20 P H Y Li , R F Bishop , C E Campbell

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two…

统计力学 · 物理学 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

We study the ground-state (gs) phase diagram of the frustrated spin-1/2 $J_{1}$--$J_{2}$ antiferromagnet with $J_{2}=\kappa J_1>0$ ($J_{1}>0$) on the honeycomb lattice, using the coupled-cluster method. We present results for the…

强关联电子 · 物理学 2012-05-15 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , C. E. Campbell

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
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