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We demonstrate quantum critical scaling for an $S=1/2$ Heisenberg antiferromagnetic chain compound CuPzN in a magnetic field around saturation, by analysing previously reported magnetization [Y. Kono {\it et al.}, Phys. Rev. Lett. {\bf…

Strongly Correlated Electrons · Physics 2015-11-16 M. Jeong , H. M. Rønnow

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

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

Motivated by the unexpected Monte Carlo results as well as the theoretical proposal of a large correction to scaling for the critical theory of the 2-d staggered-dimer spin-1/2 Heisenberg model on the square lattice, we study the phase…

Strongly Correlated Electrons · Physics 2012-06-19 M. -T. Kao , D. -J. Tan , F. -J. Jiang

We report a quantum Monte Carlo study of the phase transition between antiferromagnetic and valence-bond solid ground states in the square-lattice $S=1/2$ $J$-$Q$ model. The critical correlation function of the $Q$ terms gives a scaling…

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

We study the quantum phase transition out of the Neel state in SU(3) and SU(4) generalizations of the Heisenberg anti-ferromagnet with a sign problem free four spin coupling (so-called JQ model), by extensive quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2014-03-18 Ribhu K. Kaul

Square-lattice J-Q models provide a sign-problem-free setting for probing the quantum phase transition between N\'eel antiferromagnet and columnar valence-bond solid. We analyze this transition through the scaling of Lee-Yang zeros,…

Strongly Correlated Electrons · Physics 2026-03-31 Chunhao Guo , Zhe Wang , Danhe Wang , Zenan Liu , Haiyuan Zou , Zheng Yan

The multiple reentrant quantum phase transitions in the $S=1/2$ antiferromagnetic Heisenberg chains with random bond alternation in the magnetic field are investigated by the density matrix renormalization group method combined with the…

Strongly Correlated Electrons · Physics 2007-05-23 Kazuo Hida

We obtain the complete phase diagram of the antiferromagnetic $J_{1}$-$J_{2}$ model, $0\leq \alpha = J_2/J1 \leq 1$, within the framework of the $O(N)$ nonlinear sigma model. We find two magnetically ordered phases, one with N\' eel order,…

Strongly Correlated Electrons · Physics 2016-04-12 T. P. Cysne , M. B. Silva Neto

We study the N\'eel-paramagnetic quantum phase transition in two-dimensional dimerized $S=1/2$ Heisenberg antiferromagnets using finite-size scaling of quantum Monte Carlo data. We resolve the long standing issue of the role of cubic…

Strongly Correlated Electrons · Physics 2018-09-21 Nvsen Ma , Phillip Weinberg , Hui Shao , Wenan Guo , Dao-Xin Yao , Anders W. Sandvik

Making use of exact results and quantum Monte Carlo data for the entanglement of formation, we show that the ground state of anisotropic two-dimensional S=1/2 antiferromagnets in a uniform field takes the classical-like form of a product…

Quantum Physics · Physics 2007-05-23 Tommaso Roscilde , Paola Verrucchi , Andrea Fubini , Stephan Haas , Valerio Tognetti

By means of the density matrix renormalization group (DMRG) method, the magnetic properties of the J-J-J$^{\prime}$ quantum Heisenberg chains with spin $S=1/2$, 1, 3/2 and 2 in the ground states are investigated in the presence of a…

Strongly Correlated Electrons · Physics 2009-11-11 Bo Gu , Gang Su , Song Gao

We study frustrated, two-dimensional, quantum antiferromagnets in the vicinity of a quantum transition from a non-collinear, magnetically-ordered ground state to a quantum disordered phase. The general scaling properties of this transition…

Condensed Matter · Physics 2009-10-22 Andrey V. Chubukov , Subir Sachdev , T. Senthil

We use a variational mean-field like approach, the coupled cluster method (CCM) and exact diagonalization to investigate the ground-state order-disorder transition for the square lattice spin-half XXZ model with two different…

Strongly Correlated Electrons · Physics 2009-11-10 R. Darradi , J. Richter , S. E. Krueger

We examine the phase diagram of the spin-$1$ $J_1-J_2-J_3$ ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice, in which $J_1$ is the ferromagnetic exchange interaction between nearest neighbors, $J_2$ is…

Strongly Correlated Electrons · Physics 2016-03-02 D. C. Carvalho , A. S. T. Pires , L. A. S. Mól

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

We investigate by means of Monte Carlo simulations the dynamic phase transition of the two-dimensional kinetic Blume-Capel model under a periodically oscillating magnetic field in the presence of a quenched random crystal-field coupling. We…

Statistical Mechanics · Physics 2021-08-10 Alexandros Vasilopoulos , Zeynep Demir Vatansever , Erol Vatansever , Nikolaos G. Fytas

Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

Computational Physics · Physics 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Kato , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

Quantum phase transition at the saturation field is studied for a class of frustrated quantum antiferromagnets. The considered models include (i) the $J_1$-$J_2$ frustrated square-lattice antiferromagnet with $J_2={1/2}J_1$ and (ii) the…

Strongly Correlated Electrons · Physics 2007-05-23 G. Jackeli , M. E. Zhitomirsky