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A quantum spin liquid (QSL) is an exotic state of matter in which electrons' spins are quantum entangled over long distances, but do not show symmetry-breaking magnetic order in the zero-temperature limit. The observation of QSL states is a…

Strongly Correlated Electrons · Physics 2017-03-08 J. A. M. Paddison , M. Daum , Z. L. Dun , G. Ehlers , Y. Liu , M. B. Stone , H. D. Zhou , M. Mourigal

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…

Strongly Correlated Electrons · Physics 2024-04-09 Xiangjian Qian , Mingpu Qin

We investigate the phase diagram of the half-filled SU(N) Hubbard-Heisenberg model with hopping t, exchange J and Hubbard U, on a square lattice. In the large-N limit, and as a function of decreasing values of t/J, the model shows a…

Strongly Correlated Electrons · Physics 2009-11-10 F. F. Assaad

Using density-matrix renormalization-group calculations for infinite cylinders, we elucidate the properties of the spin-liquid phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ Heisenberg model on the triangular lattice. We find four distinct…

Strongly Correlated Electrons · Physics 2018-04-13 S. N. Saadatmand , I. P. McCulloch

We study the zero-temperature phase diagram and the low-energy excitations of a mixed-spin ($S_1>S_2$) $J_1-J_2$ Heisenberg model defined on a square lattice by using a spin-wave analysis, the coupled cluster method, and the Lanczos…

Strongly Correlated Electrons · Physics 2009-11-07 N. B. Ivanov , J. Richter , D. J. J. Farnell

The $J_1-J_2$ spin chain model with nearest neighbor $J_1$ and next nearest neighbor anti-ferromagnetic $J_2$ interaction is one of the most popular frustrated magnetic models. This model system has been extensively studied theoretically…

Strongly Correlated Electrons · Physics 2017-08-16 Aslam Parvej , Manoranjan Kumar

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

We employ a variational Monte Carlo approach to efficiently obtain the dynamical structure factor for the spin-1/2 $J_1-J_2$ Heisenberg model on the square lattice. Upon increasing the frustrating ratio $J_2/J_1$, the ground state undergoes…

Strongly Correlated Electrons · Physics 2018-09-26 Francesco Ferrari , Federico Becca

We investigate the ground-state and finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a honeycomb lattice with frustrated nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by the…

Strongly Correlated Electrons · Physics 2018-10-24 Kazuki Uematsu , Hikaru Kawamura

The spin-1/2 Heisenberg antiferromagnetic chain is ideal for realizing one of the simplest gapless quantum spin-liquids (QSLs), supporting a many-body ground state whose elementary excitations are fractional fermionic excitations called…

Strongly Correlated Electrons · Physics 2020-07-01 Thao T. Tran , Chris A. Pocs , Yubo Zhang , Michal J. Winiarski , Jianwei Sun , Minhyea Lee , Tyrel M. McQueen

We study thermodynamic properties as well as the dynamical spin and quadrupolar structure factors of the O(3)-symmetric spin-1 Heisenberg model with bilinear-biquadratic exchange interactions on the triangular lattice. Based on a…

Strongly Correlated Electrons · Physics 2016-03-01 Annika Völl , Stefan Wessel

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…

Strongly Correlated Electrons · Physics 2014-06-23 Yang Qi , 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…

Strongly Correlated Electrons · Physics 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

We study different ways of symmetry fractionalization in $Z_{2}$ spin liquids on the triangular lattice. Our classification can be used to identify the symmetry fractionalization in the $Z_{2}$ spin liquid reported in recent…

Strongly Correlated Electrons · Physics 2015-06-19 Wayne Zheng , Jia-Wei Mei , Yang Qi

The frustrated spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice has been extensively studied since 1988 because of its close relationship to the high-temperature superconductivity in cuprates and more importantly involved novel…

Strongly Correlated Electrons · Physics 2023-10-16 Yun-Tong Yang , Fu-Zhou Chen , Chen Cheng , Hong-Gang Luo

The Kitaev model with an applied magnetic field in the $H||[111]$ direction shows two transitions: from a non-abelian gapped quantum spin liquid (QSL) to a gapless QSL at $H_{c1} \simeq 0.2K$ and a second transition at a higher field…

Strongly Correlated Electrons · Physics 2019-06-11 Niravkumar D. Patel , Nandini Trivedi

We study a ferromagnetic Heisenberg spin system on the square lattice, with nearest neighbors interaction J_1 frustrated by second J_2 and third J_3 neighbors antiferromagnetic interactions, using a mean field theory for the Schwinger boson…

Strongly Correlated Electrons · Physics 2012-03-16 H. Feldner , D. C. Cabra , G. L. Rossini

Focusing on the recently-discovered candidate topological insulator $\alpha$-(BEDT-TSeF)$_2$I$_3$ -- having two-dimensional charge-neutral Dirac cones in a low symmetry lattice -- we combine ab-initio and extended-Hubbard model calculations…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Daigo Ohki , Kazuyoshi Yoshimi , Akito Kobayashi

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

Strongly Correlated Electrons · Physics 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

We investigate possible quantum ground states as well as the classical limit of a frustrated J1-J2 Heisenberg model on the three-dimensional (3D) hyperhoneycomb lattice. Our study is inspired by the recent discovery of beta-Li2IrO3, where…

Strongly Correlated Electrons · Physics 2014-11-05 SungBin Lee , Jae-Seung Jeong , Kyusung Hwang , Yong Baek Kim