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We study a Heisenberg S=1/2 ring-exchange antiferromagnet which exhibits a quantum phase transition from a spontaneously dimerized (valence bond solid) phase to a magnetically ordered (Neel) phase. We argue that the quantum transition is of…

Strongly Correlated Electrons · Physics 2007-05-23 Valeri N. Kotov , D. X. Yao , A. H. Castro Neto , D. K. Campbell

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find…

Strongly Correlated Electrons · Physics 2025-09-03 Ronja Bärwolf , Alexander Sushchyev , Francesco Parisen Toldin , Stefan Wessel

We present numerical results for an $S=1/2$ Heisenberg antiferromagnet on a inhomogeneous square lattice with tunable interaction between spins belonging to different plaquettes. Employing Quantum Monte Carlo, we significantly improve on…

Strongly Correlated Electrons · Physics 2008-10-07 A. Fabricio Albuquerque , Matthias Troyer , Jaan Oitmaa

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 study the zero-temperature phase diagram and the low-lying excitations of a square-lattice spin-half Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbour exchange bonds (J>0 (antiferromagnetic) and J'>0,…

Strongly Correlated Electrons · Physics 2009-10-31 Sven E. Krüger , Johannes Richter , Jörg Schulenburg , Damian J. J. Farnell , Raymond F. Bishop

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

We study the zero-temperature phase diagram of a square-lattice $S=1/2$ Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbor exchange constants, $J_1>0$ (antiferromagnetic) and $-\infty < J_2 < \infty $, using…

Condensed Matter · Physics 2009-10-28 N. B. Ivanov , S. E. Krüger , J. Richter

We study the quantum phase diagram of the Heisenberg planar antiferromagnet with a subset of four-spin ring exchange interactions, using the recently proposed heirarchical mean-field approach. By identifying relevant degrees of freedom, we…

Strongly Correlated Electrons · Physics 2015-05-13 L. Isaev , G. Ortiz , J. Dukelsky

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

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

We investigate quantum phase transitions for the $s=1/2$ antiferromagnetic Heisenberg model on a pyrochlore lattice. By means of a series expansion starting from isolated tetrahedra, the ground-state phase diagram is determined. When the…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

Strongly Correlated Electrons · Physics 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su

We propose quantum phase transitions beyond the Landau's paradigm of Sp(4) spin Heisenberg models on the triangular and square lattices, motivated by the exact Sp(4)$\simeq$ SO(5) symmetry of spin-3/2 fermionic cold atomic system with only…

Strongly Correlated Electrons · Physics 2008-11-26 Yang Qi , Cenke Xu

We study a frustrated spin-$S$ staggered-dimer Heisenberg model on square lattice by using the bond-operator representation for quantum spins, and investigate the emergence of classical magnetic order from the quantum mechanical…

Strongly Correlated Electrons · Physics 2017-07-11 Bimla Danu , Brijesh Kumar

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…

Statistical Mechanics · Physics 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

We have used exact numerical diagonalization to study the excitation spectrum and the dynamic spin correlations in the $s=1/2$ next-next-nearest neighbor Heisenberg antiferromagnet on the square lattice, with additional 4-spin ring exchange…

Strongly Correlated Electrons · Physics 2019-03-06 C. B. Larsen , A. T. Rømer , S. Janas , F. Treue , B. Mønsted , N. E. Shaik , H. M. Rønnow , K. Lefmann

Higher order quantum effects on the magnetic phase diagram induced by four-spin ring exchange on plaquettes are investigated for a two-dimensional quantum antiferromagnet with S=1/2. Spatial anisotropy and frustration are allowed for. Using…

Superconductivity · Physics 2015-06-04 Kingshuk Majumdar , Douglas Furton , Goetz S. Uhrig

Four-spin exchange interaction has been raising intriguing questions regarding the exotic phase transitions it induces in two-dimensional quantum spin systems. In this context, we investigate the effects of a cyclic four-spin exchange in…

Strongly Correlated Electrons · Physics 2013-08-21 S. Capponi , P. Lecheminant , M. Moliner
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