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The Resonating Valence Bond (RVB) theory for two-dimensional quantum antiferromagnets is shown to be the correct paradigm for large enough ``quantum frustration''. This scenario, proposed long time ago but never confirmed by microscopic…

强关联电子 · 物理学 2009-11-07 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

Using the Resonant Valence Bond (RVB) concept and the Schwinger-boson mean field approximation, we investigate a two dimensional anisotropic Heisenberg antiferromagnet. We find that increasing the coupling ratio ($\alpha=J_{y}/J_{x}$), a…

强关联电子 · 物理学 2007-05-23 Yanjiang JI , Jinming Dong

Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically…

强关联电子 · 物理学 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

The self-consistency equations for the independent order parameters as well as the free energy expression for the mean-field RVB model of the spin-1/2 Heisenberg Hamiltonian on the anisotropic triangular lattice is considered in the…

强关联电子 · 物理学 2011-12-01 A. L. Tchougréeff , R. Dronskowski

We construct energy-optimized resonating valence bond wavefunctions as a means to sketch out the zero-temperature phase diagram of the square-lattice quantum Heisenberg model with competing nearest- (J1) and next-nearest-neighbour (J2)…

强关联电子 · 物理学 2013-04-04 Xiaoming Zhang , K. S. D. Beach

We study the ground-state phase diagram of the spin-1/2 J1-J2 Heisenberg model on the square lattice with an accurate Bosonic resonating valence-bond (RVB) wave function. In contrast to the RVB ansatz based on Schwinger Fermions, the…

强关联电子 · 物理学 2021-08-06 Tao Li , Federico Becca , Wenjun Hu , Sandro Sorella

We study the ground state phase diagram of the bilayer Heisenberg model on square lattice with a Bosonic RVB wave function. The wave function has the form of a Gutzwiller projected Schwinger Boson mean field ground state and involves two…

强关联电子 · 物理学 2021-08-06 Haijun Liao , Tao Li

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

强关联电子 · 物理学 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

We propose a class of variational wave functions, namely the correlated valence bond states, for the frustrated Hamiltonian in the paramagnetic phase. This class of wave functions admits negative amplitude and the same sub-lattice pairing…

强关联电子 · 物理学 2014-10-07 Ling Wang

We study the resonating valence bond (RVB) theory of the Hubbard-Heisenberg model on the half-filled anisotropic triangular lattice. Varying the frustration changes the wavevector of maximum spin correlation in the Mott insulating phase.…

超导电性 · 物理学 2009-01-23 B. J. Powell , Ross H. McKenzie

The effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and the Heisenberg spin-spin coupling are calculated using…

强关联电子 · 物理学 2007-05-23 F. C. Zhang , C. Gros , T. M. Rice , H. Shiba

We investigate the spin dynamics of the square-lattice spin-1/2 Heisenberg antiferromagnet by means of an improved mean field Schwinger boson calculation. By identifying both, the long range N\'eel and the RVB-like components of the ground…

强关联电子 · 物理学 2016-04-01 E. A. Ghioldi , M. G. Gonzalez , L. O. Manuel , A. E. Trumper

The frustrated Heisenberg $J_{1}-J_{2}$ model on a square lattice is numerically investigated by variational Monte Carlo simulations. We propose a antiferromagnetic fermion resonating-valence-bond (AF-fRVB) state that has ability to examine…

强关联电子 · 物理学 2015-06-19 Chung-Pin Chou , Hong-Yi Chen

We study a variational wave function for the ground state of the two-dimensional S=1/2 Heisenberg antiferromagnet in the valence bond basis. The expansion coefficients are products of amplitudes h(x,y) for valence bonds connecting spins…

强关联电子 · 物理学 2009-11-11 J. Lou , A. W. Sandvik

We present a Schwinger-boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that Gutzwiller projection of the mean-field state that includes both antiferromagnetic and…

凝聚态物理 · 物理学 2015-06-25 Yong-Cong Chen

We study the one-band Hubbard model at half filling with hopping asymmetry and its effective model at finite but large U up to the second order of tmix/U. Two variational wave functions, the resonating valence bond (RVB) wave function and…

强关联电子 · 物理学 2007-05-23 Yuchuan Wen , Yue Yu

An antiferromagnetic Heisenberg model on a 1/5-depleted two-dimensional square-lattice, a model of CaV$_4$O$_9$, is investigated by variational Monte Carlo simulation. A prototype of a trial wave function is made by projecting out the…

凝聚态物理 · 物理学 2009-10-28 T. Miyazaki , D. Yoshioka

We present a number of arguments in favor of the suggestion that the Marshall-Peierls sign rule survives the frustration in the square-lattice Heisenberg antiferromagnet with frustrating next-nearest-neighbor (diagonal) bonds ($J_{1}-J_{2}$…

凝聚态物理 · 物理学 2009-10-22 J. Richter , N. B. Ivanov , K. Retzlaff

Although mean field theories have been very successful to predict a wide range of properties for solids, the discovery of high temperature superconductivity in cuprates supported the idea that strongly correlated materials cannot be…

强关联电子 · 物理学 2009-11-10 Michele Casula , Seiji Yunoki , Claudio Attaccalite , Sandro Sorella

We study the plaquette valence-bond solid phase of the spin-1/2 J_1-J_2 antiferromagnet Heisenberg model on the square lattice within the bond-operator theory. We start by considering four S = 1/2 spins on a single plaquette and determine…

强关联电子 · 物理学 2014-03-24 R. L. Doretto
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