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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

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

Fermionic valence bond approach in terms of SU(4) representation is proposed to describe the $J_{1}-J_{2}$ frustrated Heisenberg antiferromagnetic (AF) model on a {\it bipartite} square lattice. A uniform mean field solution without…

强关联电子 · 物理学 2009-11-10 Guang-Ming Zhang , Hui Hu , Lu Yu

Motivated by recent density-matrix renormalization group (DMRG) calculations [Yan, Huse, and White, Science 332, 1173 (2011)], which claimed that the ground state of the nearest-neighbor spin-1/2 Heisenberg antiferromagnet on the kagome…

强关联电子 · 物理学 2011-07-25 Yasir Iqbal , Federico Becca , Didier Poilblanc

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation…

强关联电子 · 物理学 2015-10-07 Wen-Jun Hu , Shou-Shu Gong , Wei Zhu , D. N. Sheng

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

The spin-1/2 J1-J2 antiferromagnet is a prototypical model for frustrated magnetism and one possible candidate for a realization of a spin liquid phase. The generalization of this system on the anisotropic square lattice is given by the…

强关联电子 · 物理学 2014-06-25 Alexandros Metavitsiadis , Daniel Sellmann , Sebastian Eggert

We study the competition between antiferromagnetic order and valence bond solid formation in a two-dimensional frustrated spin-1/2 model. The J1-J2 model on the square lattice is further frustrated by introducing products of three-spin…

量子物理 · 物理学 2013-05-29 Alain Gellé , Andreas Läuchli , Brijesh Kumar , Frédéric Mila

Motivated by the unabating interest in the spin-1/2 Heisenberg antiferromagnetic model on the Kagome lattice, we investigate the energetics of projected Schwinger boson (SB) wave functions in the $J_1$--$J_2$ model with antiferromagnetic…

强关联电子 · 物理学 2011-07-14 Tiamhock Tay , Olexei I. Motrunich

We study the energetics of Gutzwiller projected BCS states of various symmetries for the triangular lattice antiferromagnet with a four particle ring exchange using variational Monte Carlo methods. In a range of parameters the energetically…

强关联电子 · 物理学 2011-01-04 Tarun Grover , N. Trivedi , T. Senthil , Patrick A. Lee

We construct a class of projected entangled pair states (PEPS) which is exactly the resonating valence bond (RVB) wavefunctions endowed with both short range and long range valence bonds. With an energetically preferred RVB pattern, the…

强关联电子 · 物理学 2013-07-22 Ling Wang , Didier Poilblanc , Zheng-Cheng Gu , Xiao-Gang Wen , Frank Verstraete

We study triangular lattice spin-1/2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin liquid states. Trial spin liquid wave functions are obtained by Gutzwiller…

强关联电子 · 物理学 2009-11-10 Olexei I. Motrunich

Using the infinite Projected Entangled Pair States (iPEPS) algorithm, we study the ground-state properties of the spin-$1/2$ quantum Heisenberg antiferromagnet on the star lattice in the thermodynamic limit. By analyzing the ground-state…

强关联电子 · 物理学 2018-10-11 Saeed S. Jahromi , Roman Orus

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

强关联电子 · 物理学 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

Using exact diagonalization (ED) and linear spin wave theory (LSWT) we study the influence of frustration and quantum fluctuations on the magnetic ordering in the ground state of the spin-1/2 J1-J2 Heisenberg antiferromagnet (J1-J2 model)…

强关联电子 · 物理学 2009-11-07 R. Schmidt , J. Schulenburg , J. Richter , D. D. Betts

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

强关联电子 · 物理学 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

强关联电子 · 物理学 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group…

强关联电子 · 物理学 2025-03-11 Hui-Ke Jin , Hong-Hao Tu , Ya-Hui Zhang

We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional…

强关联电子 · 物理学 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

We investigate various competing paramagnetic ground states of the Heisenberg antiferromagnet on the two dimensional star lattice which exhibits geometric frustration. Using slave particle mean field theory combined with a projective…

强关联电子 · 物理学 2013-05-29 Bohm-Jung Yang , Arun Paramekanti , Yong Baek Kim
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