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We present the zero-temperature phase diagram of a square lattice quantum spin 1/2 XY model with four-site ring exchange in a uniform external magnetic field. Using quantum Monte Carlo techniques, we identify various quantum phase…

Strongly Correlated Electrons · Physics 2009-11-10 R. G. Melko , A. W. Sandvik , D. J. Scalapino

We present quantum Monte Carlo simulation results on a quantum S=1/2 XY model with ring exchange (the J-K model) on a three-dimensional simple cubic lattice. We first characterize the ground state properties of the pure XY model, obtaining…

Strongly Correlated Electrons · Physics 2009-11-10 R. G. Melko , D. J. Scalapino

The quantum phase transition in the ground state of the Extended spin S=1/2 XY model is studied in detail. Using the exact solution of the model the low temperature thermodynamics, as well as the ground state phase diagram of the model in…

Strongly Correlated Electrons · Physics 2016-08-31 Irakli Titvinidze , G. I. Japaridze

We present Quantum Monte-Carlo simulations of an exchange-anisotropic spin-1/2 Heisenberg model on a square lattice with nearest and next-nearest neighbor interactions. The ground state phase diagram shows two classical magnetically ordered…

Strongly Correlated Electrons · Physics 2012-12-20 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

We present the linear spin wave theory calculation of the superfluid phase of a hard-core boson $J$-$K$ model with nearest neighbour exchange $J$ and four-particle ring-exchange $K$ at half filling on the triangular lattice, as well as the…

Strongly Correlated Electrons · Physics 2013-06-25 Solomon A. Owerre

We study the S=1/2 quantum spin ladder system with the four-spin exchange, using density matrix renormalization group method and an exact diagonalization method. Recently, the phase transition in this system and its universality class are…

Statistical Mechanics · Physics 2009-11-10 Keigo Hijii , Shaojin Qin , Kiyohide Nomura

In this paper we study the concurrence and the block-block entanglement in the $S=1/2$ spin ladder with four-spin ring exchange by the exact diagonalization method of finite cluster of spins. The relationship between the global phase…

Quantum Physics · Physics 2009-11-13 Jun-Liang Song , Shi-Jian Gu , Hai-Qing Lin

We study ring-exchange models for bosons or XY-spins on the triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbour exchange,…

Superconductivity · Physics 2009-11-07 Leon Balents , Arun Paramekanti

The ground state of a one-dimensional spin-1/2 chain with periodical boundary condition in the Heisenberg XY model is investigated. We consider the spatial correlation and concurrence between any nearest-neighbor pair of spins under the…

Quantum Physics · Physics 2007-05-23 Jun Jing , H. R. Ma

We study the ground state phase diagram of a two-dimensional kagome lattice spin-1/2 XY model (J) with a four-site ring exchange interaction (K) using quantum Monte Carlo simulations. We find that the superfluid phase, existing in the…

Strongly Correlated Electrons · Physics 2015-03-19 Long Dang , Stephen Inglis , Roger G. Melko

By means of quantum Monte Carlo simulations, combined with a stochastic analytic continuation, we examine the spin dynamics of the spin-1/2 planar (XY) ferromagnet on the kagome lattice with additional four-site ring exchange terms. Such…

Strongly Correlated Electrons · Physics 2019-12-25 Jonas Becker , Stefan Wessel

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

The ground state of the multiple-spin exchange model with up to the six-spin exchange interactions on a triangular lattice in the magnetic field is investigated within the mean-field approximation. By comparing the phase diagrams of systems…

Strongly Correlated Electrons · Physics 2019-01-24 Chitoshi Yasuda , Yuma Uchihira , Shogo Taira , Kenn Kubo

Quantum phase transitions in the two-dimensional Kugel-Khomski model on a square lattice are studied using the plaquette mean field theory and the entanglement renormalization ansatz. When $3z^2-r^2$ orbitals are favored by the crystal…

Strongly Correlated Electrons · Physics 2012-12-06 Wojciech Brzezicki , Jacek Dziarmaga , Andrzej M. Oleś

We study the spin wave in the S=1/2 multiple-spin exchange model on a triangular lattice in a magnetic field within the linear spin-wave theory. We take only two-, three- and four-spin exchange interactions into account and restrict…

Strongly Correlated Electrons · Physics 2009-11-11 Chitoshi Yasuda , Daisuke Kinouchi , Kenn Kubo

We studied the ground state phase diagram of spin-1/2 J1-J2 XY model on the square lattice with first- J1 and second-neighbor J2 antiferromagnetic interactions using both iDMRG and DMRG approaches. We show that a plaquette valence bond…

Strongly Correlated Electrons · Physics 2023-06-14 Y. -H. Chan , Hong-Chen Jiang , Y. -C. Chen

The square-lattice $J_1$-$J_2$ $XXZ$ model with the ring-exchange interaction $K$ was investigated numerically. As for the hard-core-boson model with the nearest-neighbor hopping $J_1/2$, namely, the $J_1$-$K$ $XY$ model, it has been…

Statistical Mechanics · Physics 2024-10-08 Yoshihiro Nishiyama

We examine a chain of periodic arrays of 4 quantum spins with magnitudes of 1/2, 1, 3/2 and 1. There are four kinds of nearest-neighbour exchange parameters among them. We choose two independent parameters for concreteness: one represents…

Strongly Correlated Electrons · Physics 2009-10-31 Ken'ichi Takano

We study the spin-$1$ Heisenberg model on the square lattice with the antiferromagnetic nearest-neighbor $J_1$ and the next-nearest-neighbor $J_2$ couplings by using the infinite projected entangled-pair state (iPEPS) ansatz and density…

Strongly Correlated Electrons · Physics 2018-06-01 R. Haghshenas , Wang-Wei Lan , Shou-Shu Gong , D. N. Sheng
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