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The ground-state phase diagram of a spin-1/2 XXZ chain with competing ferromagnetic nearest-neighbor (J_1<0) and antiferromagnetic second-neighbor (J_2>0) exchange couplings is studied by means of the infinite time evolving block decimation…

Strongly Correlated Electrons · Physics 2012-09-14 Shunsuke Furukawa , Masahiro Sato , Shigeki Onoda , Akira Furusaki

We investigate the quantum spin-1/2 zigzag chain with frustrated $J_1$-$J_2$ Heisenberg interactions, incorporating additional off-diagonal exchange interactions known as the $\Gamma$ term, both with and without an applied magnetic field.…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Chisa Hotta

We study the spin-$1\over2$ Heisenberg antiferromagnet with an antiferromagnetic $J_3$ (third nearest neighbor) interaction on a square lattice. We numerically diagonalize this ``$J_1$-$J_3$'' model on clusters up to 32-sites and search for…

Condensed Matter · Physics 2009-10-28 P. W. Leung , Ngar-wing Lam

The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions $J$ and antiferromagnetic next-nearest-neighbour interactions $J'$ (within the isotropic Heisenberg model) was previously characterized as…

Strongly Correlated Electrons · Physics 2023-04-04 Roman Rausch , Matthias Peschke , Cassian Plorin , Jürgen Schnack , Christoph Karrasch

Elastic and inelastic neutron scattering studies of Li(Ni$_{1-x}$Fe$_{x}$)PO$_4$ single crystals reveal anomalous spin-wave dispersions along the crystallographic direction parallel to the characteristic wave vector of the magnetic…

We have considered the 1D dimerized frustrated antiferromagnetic (ferromagnetic) Heisenberg model with arbitrary spin $S$. The exact classical magnetic phase diagram at zero temperature is determined using the LK cluster method. Cluster…

Strongly Correlated Electrons · Physics 2015-01-26 J. Vahedi , S. Mahdavifar , M. R. Soltani , M. Elahi

A Heisenberg spin-$s$ chain with alternating ferromagnetic ($-J_1^F<0$) and antiferromagnetic ($J_1^A>0$) nearest-neighbor (NN) interactions, exhibits the Dimer and spin-$2s$ Haldane phases in the limits $J_1^F/J_1^A \rightarrow 0$ and…

Strongly Correlated Electrons · Physics 2020-06-02 Shaon Sahoo , Dayasindhu Dey , Sudip Kumar Saha , Manoranjan Kumar

We study the frustrated ferromagnetic spin-1 chains, where the ferromagnetic nearest-neighbor coupling competes with the antiferromagnetic next-nearest-neighbor coupling. We use the density matrix renormalization group to obtain the ground…

Strongly Correlated Electrons · Physics 2017-02-01 Hyeong Jun Lee , MooYoung Choi , Gun Sang Jeon

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…

Strongly Correlated Electrons · Physics 2009-11-10 Guang-Ming Zhang , Hui Hu , Lu Yu

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

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…

Strongly Correlated Electrons · Physics 2017-10-06 Francesco Ferrari , Samuel Bieri , Federico Becca

The spin-$1/2$ chain with antiferromagnetic exchange $J_1$ and $J_2 = \alpha J_1$ between first and second neighbors, respectively, has both gapless and gapped ($\Delta(\alpha) > 0$) quantum phases at frustration $0 \le \alpha \le 3/4$. The…

Strongly Correlated Electrons · Physics 2020-12-02 Sudip Kumar Saha , Manoranjan Kumar , Zoltán G. Soos

We present variational results for the ground state of the antiferromagnetic quantum Heisenberg model with frustrating next-nearest-neighbour interactions. The trial wave functions employed are of resonating-valence-bond type, elaborated to…

Strongly Correlated Electrons · Physics 2013-10-24 Xiaoming Zhang , Jin Xu , K. S. D. Beach

We perform an in-depth investigation of the phase diagram of the $J_1-J_2$ Heisenberg model on the square lattice. We take advantage of Density Matrix Renormalization Group and Fully-Augmented Matrix Product States methods and reach…

Strongly Correlated Electrons · Physics 2024-04-09 Xiangjian Qian , Mingpu Qin

We study the ground state properties of the Heisenberg spin-1/2 chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions using two approximate methods. One of them is the Jordan-Wigner mean-field…

Strongly Correlated Electrons · Physics 2009-11-11 D. V. Dmitriev , V. Ya. Krivnov

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

Using an asymptotically exact real space renormalization procedure, we find that the Heisenberg antiferromagnetic spin-1 chain undergoes an impurity driven second order phase transition from the Haldane phase to the random singlet phase, as…

Condensed Matter · Physics 2016-08-31 R. A. Hyman , Kun Yang

We use the finite projected entangled pair state (PEPS) method to investigate the global phase diagram of the spin-1/2 square-lattice $J_1$-$J_2$-$J_3$ antiferromagnetic (AFM) Heisenberg model. The ground state phase diagram is established…

Strongly Correlated Electrons · Physics 2024-06-12 Wen-Yuan Liu , Didier Poilblanc , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

We present the phase diagram of the frustrated ferromagnetic S=1/2 Heisenberg J_1-J_2 chain in a magnetic field, obtained by large scale exact diagonalizations and density matrix renormalization group simulations. A vector chirally ordered…

Strongly Correlated Electrons · Physics 2009-10-09 J. Sudan , A. Luscher , A. Laeuchli

The multiple reentrant quantum phase transitions in the $S=1/2$ antiferromagnetic Heisenberg chains with random bond alternation in the magnetic field are investigated by the density matrix renormalization group method combined with the…

Strongly Correlated Electrons · Physics 2007-05-23 Kazuo Hida