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Related papers: Spontaneous trimerization in a bilinear-biquadrati…

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The density matrix renormalization group and quantum Monte Carlo method are used to describe coupled trimer chains in a magnetic field h. The Hamiltonian contains exchange terms involving the intra-trimer coupling J1 (taken as the unit of…

Strongly Correlated Electrons · Physics 2022-04-26 R. R. Montenegro-Filho , E. J. P. Silva-Junior , M. D. Coutinho-Filho

The magnetization process of the $S=1$ antiferromagnetic chain with the single-ion anisotropy $D$ and the biquadratic interaction is investigated using the numerical diagonalization. Both interactions stabilize the 2-magnon…

Strongly Correlated Electrons · Physics 2022-05-17 Tôru Sakai , Hiroki Nakano , Rito Furuchi , Kiyomi Okamoto

We discuss the magnetic properties of a dimerized and completely frustrated tetrahedral spin-1/2 chain. Using a combination of exact diagonalization and bond-operator theory the quantum phase diagram is shown to incorporate a…

Strongly Correlated Electrons · Physics 2009-11-07 Wolfram Brenig , Klaus W. Becker

The phase diagram of the spin-1 bond-alternating XXZ chain is studied numerically. This model is appropriate to study the VBS picture and the hidden Z_2\times Z_2 symmetry concerning to the Haldane gap problem. The possible phases are the…

Strongly Correlated Electrons · Physics 2008-02-03 Atsuhiro Kitazawa , Kiyohide Nomura

We study spin-half and spin-one Heisenberg models in the limit where one dimensional (1-D) linear chains, with exchange constant J1, are weakly coupled in an anisotropic triangular lattice geometry. Results are obtained by means of…

Strongly Correlated Electrons · Physics 2009-11-13 T. Pardini , R. R. P. Singh

We reexamine the one-dimensional spin-1 $XXZ$ model with on-site uniaxial single-ion anisotropy as to the appearance and characterization of the symmetry-protected topological Haldane phase. By means of large-scale density-matrix…

Strongly Correlated Electrons · Physics 2015-01-20 Satoshi Ejima , Holger Fehske

Motivated by recent observation of a new high field phase near saturation in chromium spinels $A$Cr$_2$O$_4$ ($A=$ Zn, Cd, Hg), we study the $S = 3/2$ pyrochlore Heisenberg antiferromagnet with biquadratic interactions. Magnon instability…

Strongly Correlated Electrons · Physics 2015-10-09 Emika Takata , Tsutomu Momoi , Masaki Oshikawa

The $s=1/2$ chain-boundary excitations occurring in the Haldane phaseof $s=1$ antiferromagnetic spin chains are investigated. The bilinear-biquadratic hamiltonian is used to study these excitations as a function of the strength of the…

Strongly Correlated Electrons · Physics 2009-10-31 E. Polizzi , F. Mila , E. S. Sorensen

We investigate the spin dynamics of a 1D spin-1/2 Heisenberg tetramer chain. Employing a combination of Density Matrix Renormalization Group, quantum renormalization group, and perturbation theory techniques, we compute the energy levels…

Strongly Correlated Electrons · Physics 2026-05-08 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

The antiferromagnetic Heisenberg model on a chain with nearest and next nearest neighbor couplings is mapped onto the $SO(3)$ nonlinear sigma model in the continuum limit. In one spatial dimension this model is always in its disordered…

Condensed Matter · Physics 2009-10-22 D. Allen , D. Senechal

We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

We report the magnetic ground state, spin excitations, and spin Hamiltonian of the 2D spin-1 trimerized Heisenberg antiferromagnet Li2Ni3P4O14. Below the magnetic ordering temperature TN = 14.5 K, the compound exhibits a canted long-range…

Strongly Correlated Electrons · Physics 2025-07-03 K. S. Chikara , A. K. Bera , A. Kumar , S. M. Yusuf , F. Orlandi , C. Balz

We study the phase diagram of a 2-leg bond-alternation spin-(1/2, 1) ladder for two different configurations using a quantum renormalization group approach. Although d-dimensional ferrimagnets show gapless behavior, we will explicitly show…

Condensed Matter · Physics 2009-10-31 A. Langari , M. Abolfath , M. A. Martin-Delgado

We study Heisenberg spin-1/2 and spin-1 chains with alternating ferromagnetic ($J_1^F$) and antiferromagnetic ($J_1^A$) nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction ($J_2^F$). In this model frustration…

Strongly Correlated Electrons · Physics 2014-06-19 Shaon Sahoo , V. M. L. Durga Prasad Goli , Diptiman Sen , S. Ramasesha

Using the density matrix renormalization group and a bosonization approach, we study a spin-1/2 antiferromagnetic Heisenberg chain with near-neighbor coupling $J_1$ and frustrating second-neighbor coupling $J_2$, particularly in the limit…

Condensed Matter · Physics 2009-10-28 Steven R. White , Ian Affleck

We determine the magnetic phase diagram of the antiferromagnetic(AF) zigzag spin chain in the strongly frustrated region, using the density matrix renormalization group method. We find the magnetization plateau at 1/3 of the full moment…

Statistical Mechanics · Physics 2007-05-23 Kouichi Okunishi , Takashi Tonegawa

The phase diagram of the spin-1/2 Heisenberg antiferromagnet on an anisotropic triangular lattice of weakly coupled chains, a model relevant to Cs2CuCl4, is investigated using a renormalization group analysis, which includes marginal…

Strongly Correlated Electrons · Physics 2011-11-22 Sedigh Ghamari , Catherine Kallin , Sung-Sik Lee , Erik S. Sørensen

A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and…

Strongly Correlated Electrons · Physics 2010-01-25 H. Nonne , P. Lecheminant , S. Capponi , G. Roux , E. Boulat

We present a theoretical study of the magnetic phase diagram of the frustrated coupled ladder structure realized recently in several materials. This system displays a nondegenerate spin-gap state in the dimer limit and an infinitely…

Strongly Correlated Electrons · Physics 2009-10-30 B. Normand , K. Penc , M. Albrecht , F. Mila

The phase transitions between the XY, the dimer and the Haldane phases of the spin-1 bond-alternating XXZ chain are studied by the numerical diagonalization. We determine the phase diagram at $T=0$ and also identify the universality class…

Condensed Matter · Physics 2009-10-28 Atsuhiro Kitazawa , Kiyohide Nomura , Kiyomi Okamoto