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We give a mean-field calculation for the odd-resonating-valence-bond ORVB pairing scheme. We obtain interesting quasi-particle excitation energy $E_{\bf k}$ as a function of momentum ${\bf k}$. It is distinctively different from those of…

凝聚态物理 · 物理学 2007-05-23 Ling-Lie Chau , Ding-Wei Huang

The spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice represents one of the simplest examples in which the effets of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order…

强关联电子 · 物理学 2020-07-15 Francesco Ferrari , Federico Becca

We utilize Density Matrix Renormalization Group (DMRG) and Fully Augmented Matrix Product States (FAMPS) methods to investigate the Valence Bond Solid (VBS) phase in the $J_1$-$J_2$ square lattice Heisenberg model. To differentiate between…

强关联电子 · 物理学 2024-12-03 Jiale Huang , Xiangjian Qian , Mingpu Qin

Motivated by the recent discovery of superconductivity in two dimensional CoO$_2$ layers, we present some possibly useful results of the RVB mean field theory applied to the triangular lattice. Away from half filling, the order parameter is…

强关联电子 · 物理学 2009-11-10 Brijesh Kumar , B. Sriram Shastry

We calculate the bipartite von Neumann and second R\'enyi entanglement entropies of the ground states of spin-1/2 dimerized Heisenberg antiferromagnets on a square lattice. Two distinct dimerization patterns are considered: columnar and…

强关联电子 · 物理学 2019-08-13 Leonardo S. G. Leite , R. L. Doretto

We study S=1/2 Heisenberg model on the honeycomb lattice with first and second neighbor antiferromagnetic exchange (J_{1}-J_{2} model), employing exact diagonalization in both S_z=0 basis and nearest neighbor singlet valence bond (NNVB)…

强关联电子 · 物理学 2011-05-25 H. Mosadeq , F. Shahbazi , S. A. Jafari

Valence bond (VB) states as the formation mechanism of Cooper pairs, eventually leading to high-temperature superconductivity, remain a controversial topic. Although various VB-like states find variational relevance in the description of…

强关联电子 · 物理学 2025-07-08 M. Mierzejewski , E. Dagotto , J. Herbrych

Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv…

强关联电子 · 物理学 2013-09-18 R. F. Bishop , P. H. Y. Li , C. E. Campbell

Using variational wave functions and Monte Carlo techniques, we study the antiferromagnetic Heisenberg model with first-neighbor $J_1$ and second-neighbor $J_2$ antiferromagnetic couplings on the honeycomb lattice. We perform a systematic…

强关联电子 · 物理学 2017-10-06 Francesco Ferrari , Samuel Bieri , Federico Becca

The zero-temperature ground-state (GS) properties and phase diagram of a frustrated spin-1 $J_{1}$--$J_{2}$ Heisenberg model on the checkerboard square lattice are studied, using the coupled cluster method. We consider the case where the…

强关联电子 · 物理学 2014-08-20 P H Y Li , R F Bishop , C E Campbell

We show the chiral d-wave RVB state on honeycomb lattice stands as a natural generalization of the staggered flux phase on square lattice. Although the state is generated from a time reversal symmetry broken mean field ansatz, it actually…

强关联电子 · 物理学 2011-07-20 Tao Li

Within Dyson-Maleev (DM) transformation and self-consistent mean-field treatment, the N\'eel order/disorder transition is studied for an antiferromagnetic Heisenberg model which is defined on a square lattice with a nearest neighbour…

强关联电子 · 物理学 2009-11-07 Qingshan Yuan

We study the nature of the ground state of the quantum dimer model proposed by Rokhsar and Kivelson by diagonalizing the Hamiltonian of the model on square lattices of size $L\times L$, where $L\leq 8$, with periodic boundary conditions.…

凝聚态物理 · 物理学 2007-05-23 P. W. Leung , K. C. Chiu , K. J. Runge

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

强关联电子 · 物理学 2009-11-07 Luca Capriotti

The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

强关联电子 · 物理学 2012-11-19 Kenji Harada

We propose that the inhomogeneous patterns seen by STM in some underdoped superconducting cuprates could be related to a bond-order-wave instability of the staggered flux state, one of the most studied "normal" state proposed to compete…

强关联电子 · 物理学 2009-11-11 D. Poilblanc , C. Weber , F. Mila , M. Sigrist

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

强关联电子 · 物理学 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

We explore the frustrated spin-$1/2$ Heisenberg model on the star lattice with antiferromagnetic (AF) couplings inside each triangle and ferromagnetic (FM) inter-triangle couplings ($J_e<0$), and calculate its magnetic and thermodynamic…

强关联电子 · 物理学 2018-02-28 Shi-Ju Ran , Wei Li , Shou-Shu Gong , Andreas Weichselbaum , Jan von Delft , Gang Su

We present a comprehensive study of the 2D one-band Hubbard model applying the spin rotation invariant slave-boson method. We utilize a spiral magnetic mean field and fluctuations around a paramagnetic mean field to determine the magnetic…

强关联电子 · 物理学 2020-07-01 David Riegler , Michael Klett , Titus Neupert , Ronny Thomale , Peter Wölfle

We obtain the phase diagram in the parameter space $(J'/J, \gamma)$ and an accurate estimate of the critical line separating the different phases. We show several measuments of the magnetization, dimerization, nearest neighbours…

强关联电子 · 物理学 2009-11-13 J. Almeida , M. A. Martin-Delgado , G. Sierra