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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 the impurity physics at a continuous quantum phase transition from an SU(3) symmetric N\'eel ordered state to a valence bond solid state that breaks lattice symmetries, using quantum Monte Carlo techniques. This continuous…

Strongly Correlated Electrons · Physics 2013-12-24 Argha Banerjee , Kedar Damle , Fabien Alet

The Neel magnetization of 2+1 D antiferromagnets is composed of quark-like spin 1/2 constituents, the spinons, as follows from the CP^1 mapping. These quark spinons are confined in both the Neel ordered phase and quantum paramagnetic…

Strongly Correlated Electrons · Physics 2007-05-23 Zaira Nazario , David I. Santiago

We present the critical theory of a number of zero temperature phase transitions of quantum antiferromagnets and interacting boson systems in two dimensions. The most important example is the transition of the S = 1/2 square lattice…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Leon Balents , Subir Sachdev , Ashvin Vishwanath , Matthew P. A. Fisher

We introduce an SU($N$) symmetric two-dimensional quantum spin model, the X-Q model, which hosts a ground state transition between N\'eel antiferromagnetic and spontaneously dimerized states. The Q terms are products of two adjacent singlet…

Strongly Correlated Electrons · Physics 2026-04-21 Ryan Flynn , Anders W. Sandvik

We study two-dimensional Heisenberg antiferromagnets with additional multi-spin interactions which can drive the system into a valence-bond solid state. For standard SU(2) spins, we consider both four- and six-spin interactions. We find…

Strongly Correlated Electrons · Physics 2010-10-13 J. Lou , A. W. Sandvik , N. Kawashima

We analyze quantum Monte Carlo data in the vicinity of the quantum transition between a Neel state and a quantum paramagnet in a two-layer, square lattice spin 1/2 Heisenberg antiferromagnet. The real-space correlation function and the…

Condensed Matter · Physics 2016-08-31 Anders W. Sandvik , Andrey V. Chubukov , Subir Sachdev

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

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

Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the…

Statistical Mechanics · Physics 2008-05-29 A. B. Kuklov , M. Matsumoto , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

We study the S=1/2 Heisenberg antiferromagnet on a square lattice with nearest-neighbor and plaquette four-spin exchanges (introduced by A.W. Sandvik, Phys. Rev. Lett. {\bf 98}, 227202 (2007).) This model undergoes a quantum phase…

Strongly Correlated Electrons · Physics 2009-11-14 Valeri N. Kotov , Dao-Xin Yao , A. H. Castro Neto , D. K. Campbell

We report spontaneous appearance of antiferromagnetic order in a model gapped quantum paramagnet Ni(Cl$_{1-x}$Br$_x$)$_2$$\cdot$4SC(NH$_2$)$_2$ induced by a change in bromine concentration x. This transition is qualitatively similar to a z…

Strongly Correlated Electrons · Physics 2017-11-08 K. Yu. Povarov , A. Mannig , G. Perren , J. S. Möller , E. Wulf , J. Ollivier , A. Zheludev

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

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

The spin texture surrounding a non-magnetic impurity in a quantum antiferromagnet is a sensitive probe of the novel physics of a class of quantum phase transitions between a Neel ordered phase and a valence bond solid phase in square…

Strongly Correlated Electrons · Physics 2013-12-24 Argha Banerjee , Kedar Damle , Fabien Alet

Magnetic properties of the ferrimagnetic mixed spin-(1/2,S) Heisenberg chains are examined using quantum Monte Carlo simulations for two different quantum spin numbers S = 1 and 3/2. The calculated magnetization curves at finite…

Statistical Mechanics · Physics 2017-06-21 Jozef Strecka , Taras Verkholyak

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

We analyze the temperature dependence of the entropy of the spin-1/2 Heisenberg model on the three-dimensional simple-cubic lattice, for both the case of antiferromagnetic and ferromagnetic nearest neighbor exchange interactions. Using…

Strongly Correlated Electrons · Physics 2015-05-14 Stefan Wessel

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…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Alex Thomson , Subir Sachdev

We report large-scale quantum Monte Carlo calculations at the T=0 antiferromagnetic to valence-bond-solid (VBS) transition of a two-dimensional S=1/2 XY model with four-spin interactions. Finite-size scaling suggests a discontinuous spin…

Strongly Correlated Electrons · Physics 2007-05-23 A. W. Sandvik , R. Melko
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