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We study the equilibrium spin configuration of the 2D Hubbard model at low doping, when a long-range magnetic order is still present. We use the spin-density-wave formalism and examine the two suggested candidates for a ground state: the…

Condensed Matter · Physics 2016-08-31 Andrey V. Chubukov , Karen A. Musaelian

The purpose of this paper is to investigate the ground-state properties of two-dimensional Heisenberg models on a square lattice with a given dimerization. Our aim is threefold: First, we want to investigate the dimensional transition from…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper , K. Hamacher

A rare example of a two dimensional Heisenberg model with an exact dimerized ground state is presented. This model, which can be regarded as a variation on the kagome lattice, has several features of interest: it has a highly (but not…

Strongly Correlated Electrons · Physics 2009-10-31 Rahul Siddharthan

We investigate the zero-temperature behavior of the classical Heisenberg model on the triangular lattice in which the competition between exchange interactions of different orders favors a relative angle between neighboring spins in the…

Statistical Mechanics · Physics 2012-06-05 S. E. Korshunov , F. Mila , K. Penc

We report magnetocaloric and magnetic-torque evidence that in Cs$_{2}$CuBr$_{4}$ -- a geometrically frustrated Heisenberg $S=1/2$ triangular-lattice antiferromagnet -- quantum fluctuations stabilize a series of spin states at simple…

Strongly Correlated Electrons · Physics 2015-05-13 N. A. Fortune , S. T. Hannahs , Y. Yoshida , T. E. Sherline , T. Ono , H. Tanaka , Y. Takano

Self-consistent solutions to a generalized Su-Schrieffer-Heeger model on a 2-dimensional square lattice are investigated. Away from half-filling, spatially inhomogeneous phases are found. Those phases may have topological structures on the…

Strongly Correlated Electrons · Physics 2009-11-10 Khee-Kyun Voo , Chung-Yu Mou

Using (infinite) density matrix renormalization group techniques, ground state properties of antiferromagnetic S=1 Heisenberg spin chains with exchange and single-site anisotropies in an external field are studied. The phase diagram is…

Statistical Mechanics · Physics 2012-11-07 D. Peters , I. P. McCulloch , W. Selke

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

Strongly Correlated Electrons · Physics 2018-06-28 Ido Niesen , Philippe Corboz

The S=1/2 and S=1 two-dimensional quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo method. By finite-size-scaling analyses on the correlation lengths, the…

Strongly Correlated Electrons · Physics 2009-11-07 Munehisa Matsumoto , Chitoshi Yasuda , Synge Todo , Hajime Takayama

We use a combination of density matrix renormalization group calculations and analytical approaches to study a simplified model for a spatially anisotropic spin-1/2 triangular lattice Heisenberg antiferromagnet: the three-leg triangular…

Strongly Correlated Electrons · Physics 2013-04-30 Ru Chen , Hyejin Ju , Hong-Chen Jiang , Oleg A. Starykh , Leon Balents

We study an anisotropic version of the $J_1-J_2$ model with S=1. We find a second order transition from a N\'eel $Q=(\pi,\pi)$ phase to a disordered phase with a spin gap.

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

We consider a superexchange Hamiltonian, $H=-\sum_{<i,j>}(2{\bf S}_i\cdot {\bf S}_j-\frac 12)(2{\bf T}_i\cdot {\bf T}_j-\frac 12)$, which describes systems with orbital degeneracy and strong electron-phonon coupling in the limit of large…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Shun-Qing Shen

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

The frustrated spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice has been extensively studied since 1988 because of its close relationship to the high-temperature superconductivity in cuprates and more importantly involved novel…

Strongly Correlated Electrons · Physics 2023-10-16 Yun-Tong Yang , Fu-Zhou Chen , Chen Cheng , Hong-Gang Luo

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 theoretically and numerically investigate a two-dimensional O(2) model where an order parameter is convected by shear flow. We show that a long-range phase order emerges in two dimensions as a result of anomalous suppression of phase…

Statistical Mechanics · Physics 2021-04-28 Hiroyoshi Nakano , Yuki Minami , Shin-ichi Sasa

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 apply a random-plaquette $J_1$-$J_2$ model on the square lattice to capture the physics of a series of spin-$1/2$ Heisenberg antiferromagnet compounds Sr$_2$CuTe$_{1-x}$W$_x$O$_6$. With the input of experimentally relevant coupling…

Strongly Correlated Electrons · Physics 2024-07-09 Dian Wu , Fan Yang , Giuseppe Carleo

Using modified spin wave (MSW) method, we study the $J_1-J_2$ Heisenberg model with first and second neighbor antiferromagnetic exchange interactions. For symmetric $S=1/2$ model, with the same couplings for all the equivalent neighbors, we…

Strongly Correlated Electrons · Physics 2016-08-24 Elaheh Ghorbani , Farhad Shahbazi , Hamid Mosadeq

The ground-state phase diagram of a half-filled anisotropic Kondo lattice model is calculated within a mean-field theory. For small transverse exchange coupling $J_{\perp}<J_{\perp c1}$, the ground state shows an antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Ming Zhang , Lu Yu