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Related papers: Deconfined pseudocriticality in a model spin-1 qua…

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We use quantum Monte Carlo simulations to study a quantum $S=1/2$ spin model with competing multi-spin interactions. We find a quantum phase transition between a columnar valence-bond solid (cVBS) and a N\'eel antiferromagnet (AFM), as in…

Strongly Correlated Electrons · Physics 2020-07-09 Bowen Zhao , Jun Takahashi , Anders W. Sandvik

We consider spin-half quantum antiferromagnets in two spatial dimensions in the quantum limit, where the spins are in a valence bond solid (VBS) phase. The transitions between two such VBS phases is studied. In some cases, an interesting…

Strongly Correlated Electrons · Physics 2009-11-10 Ashvin Vishwanath , L. Balents , T. Senthil

We study the N\'eel to four-fold columnar valence bond solid (cVBS) quantum phase transition in a sign free $S=1$ square lattice model. This is the same kind of transition that for $S=1/2$ has been argued to realize the prototypical…

Strongly Correlated Electrons · Physics 2020-01-22 Julia Wildeboer , Nisheeta Desai , Jonathan D'Emidio , Ribhu K. Kaul

Deconfined quantum critical point (DQCP) characterizes the continuous transition beyond Landau-Ginzburg-Wilson paradigm, occurring between two phases that exhibit distinct symmetry breaking. The debate over whether genuine DQCP exists in…

Strongly Correlated Electrons · Physics 2025-11-06 Xuan Zou , Shuai Yin , Zi-Xiang Li , Hong Yao

Deconfined quantum criticality of two-dimensional $SU(2)$ quantum antiferromagnets featuring a transition from an antiferromagnetically ordered ground state to a so-called valence-bond solid state, is governed by a non-compact CP$^1$ model…

Strongly Correlated Electrons · Physics 2013-12-24 Flavio S. Nogueira , Asle Sudbo

We perform a numerical study of a spin-1/2 model with $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensional deconfined quantum critical points (DQCP).…

Strongly Correlated Electrons · Physics 2019-05-08 Brenden Roberts , Shenghan Jiang , Olexei I. Motrunich

We study a spin-1/2 SU(2) model on the honeycomb lattice with nearest-neighbor antiferromagnetic exchange $J$ that favors N\'eel order, and competing 6-spin interactions $Q$ which favor a valence bond solid (VBS) state in which the…

Strongly Correlated Electrons · Physics 2015-06-12 Sumiran Pujari , Kedar Damle , Fabien Alet

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carlo simulations. The results support a…

Strongly Correlated Electrons · Physics 2010-04-30 Anders W. Sandvik

We investigate the boundary phases of a (2+1)-dimensional quantum critical Heisenberg model with a dangling spin chain. By introducing a multispin $Q$-term along the boundary, we drive a continuous boundary transition from an…

Strongly Correlated Electrons · Physics 2026-05-20 Chengxiang Ding , Long Zhang

Using a loop-cluster algorithm we investigate the spin 1/2 Heisenberg antiferromagnet on a square lattice with exchange coupling $J$ and an additional four-spin interaction of strength $Q$. We confirm the existence of a phase transition…

Strongly Correlated Electrons · Physics 2009-11-13 F. -J. Jiang , M. Nyfeler , S. Chandrasekharan , U. -J. Wiese

Numerical studies of the N\'eel to valence-bond solid phase transition in 2D quantum antiferromagnets give strong evidence for the remarkable scenario of deconfined criticality, but display strong violations of finite-size scaling that are…

Strongly Correlated Electrons · Physics 2015-12-30 Adam Nahum , J. T. Chalker , P. Serna , M. Ortuño , A. M. Somoza

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

Strongly Correlated Electrons · Physics 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin

We continue recent efforts to discover examples of deconfined quantum criticality in one-dimensional models. In this work we investigate the transition between a $\mathbb{Z}_3$ ferromagnet and a phase with valence bond solid (VBS) order in…

Strongly Correlated Electrons · Physics 2021-04-28 Brenden Roberts , Shenghan Jiang , Olexei I. Motrunich

It has been proposed that the deconfined criticality in $(2+1)d$ -- the quantum phase transition between a Neel anti-ferromagnet and a valence-bond-solid (VBS) -- may actually be pseudo-critical, in the sense that it is a weakly first-order…

Strongly Correlated Electrons · Physics 2020-07-29 Ruochen Ma , Chong Wang

Using ground-state projector quantum Monte Carlo simulations in the valence bond basis, it is demonstrated that non-frustrating four-spin interactions can destroy the Neel order of the two-dimensional S=1/2 Heisenberg antiferromagnet and…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solid (VBS) ground state. Employing quantum Monte…

Computational Physics · Physics 2020-01-13 Sibin Yang , Dao-Xin Yao , Anders W. Sandvik

Deconfined quantum critical points (DQCPs) have been proposed as a class of continuous quantum phase transitions occurring between two ordered phases with distinct symmetry-breaking patterns, beyond the conventional framework of…

Strongly Correlated Electrons · Physics 2025-04-23 Yi Cui , Rong Yu , Weiqiang Yu

The $S=1/2$ square-lattice $J$-$Q$ model hosts a deconfined quantum phase transition between antiferromagnetic and dimerized (valence-bond solid) ground states. We here study two deformations of this model -- a term projecting staggered…

Strongly Correlated Electrons · Physics 2020-12-29 Bowen Zhao , Jun Takahashi , Anders W. Sandvik

Quantum phase transition from the N\'eel to the dimer states in an antiferromagnetic(AF) Heisenberg model on square lattice is studied. We introduce a control parameter $\alpha$ for the exchange coupling which connects the N\'eel…

Strongly Correlated Electrons · Physics 2009-11-10 Daisuke Yoshioka , Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui

We resolve the nature of the quantum phase transition between a N\'eel antiferromagnet and a valence-bond solid in two-dimensional spin-1/2 magnets. We study a class of $J$-$Q$ models, in which Heisenberg exchange $J$ competes with…

Strongly Correlated Electrons · Physics 2024-05-13 Jun Takahashi , Hui Shao , Bowen Zhao , Wenan Guo , Anders W. Sandvik
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