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We use the matrix product approach to construct all optimum ground states of general anisotropic spin-2 chains with nearest neighbour interactions and common symmetries. These states are exact ground states of the model and their properties…

Strongly Correlated Electrons · Physics 2009-11-07 M. A. Ahrens , A. Schadschneider , J. Zittartz

We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems. Our method is applied to the spin-1 Heisenberg antiferromagnet, for which we…

Strongly Correlated Electrons · Physics 2014-07-09 Laurens Vanderstraeten , Jutho Haegeman , Tobias J. Osborne , Frank Verstraete

In order to confirm the picture of domain-wall excitations in the hidden antiferromagnetic order of the Haldane phase, the structure of the low-lying excitations in the S=1 antiferromagnetic Heisenberg chain is studied by a quantum Monte…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , Seiji Miyashita

We present a spin-1 chain with a Hamiltonian which has three exactly solvable ground states. Two of these are fully dimerized, analogous to the Majumdar-Ghosh (MG) states of a spin-1/2 chain, while the third is of the…

Strongly Correlated Electrons · Physics 2015-06-25 Diptiman Sen , Naveen Surendran

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

We study, both numerically and variationally, the interplay between different types of elementary excitations in the model of a spin chain with anisotropic spin-orbit coupling, in the vicinity of the "dimer line" with an exactly known…

Strongly Correlated Electrons · Physics 2009-10-31 A. K. Kolezhuk , H. -J. Mikeska , U. Schollwoeck

We consider a quasi-one-dimensional system of spin-1 Heisenberg antiferromagnetic chains in 2D and 3D hypercubic lattices with interchain coupling $J$ and uniaxial single-ion anisotropy $D$. Using large scale numerical simulations, we map…

Strongly Correlated Electrons · Physics 2014-06-24 Keola Wierschem , Pinaki Sengupta

We have found the exact groundstate for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All groundstate properties can be calculated. The groundstate is determined as a matrix product…

Condensed Matter · Physics 2009-10-22 A. Klümper , A. Schadschneider , J. Zittartz

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

Using a matrix product state algorithm with infinite boundary conditions, we compute high-resolution dynamic spin and quadrupolar structure factors in the thermodynamic limit to explore the low-energy excitations of isotropic…

Strongly Correlated Electrons · Physics 2020-10-19 Moritz Binder , Thomas Barthel

We study the dynamical spin excitations of the one-dimensional $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy by using quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation…

Strongly Correlated Electrons · Physics 2021-01-13 Jun-Han Huang , Guang-Ming Zhang , Dao-Xin Yao

Inelastic neutron scattering experiments on the S=1 quasi-one-dimensional bond-alternating antiferromagnet Ni(C9D24N4)(NO2)ClO4 have been performed under magnetic fields below and above a critical field Hc at which the energy gap closes.…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hagiwara , L. P. Regnault , A. Zheludev , A. Stunault , N. Metoki , T. Suzuki , S. Suga , K. Kakurai , Y. Koike , P. Vorderwisch , J. H. Chung

An anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin interactions. For…

High Energy Physics - Theory · Physics 2014-11-18 St. Meissner , B. -D. Doerfel

We investigate the excited states of the quasi-one-dimensional quantum antiferromagnets on hexagonal lattices, including the longitudinal modes based on the magnon-density waves. A model Hamiltonian with a uniaxial single-ion anisotropy is…

Strongly Correlated Electrons · Physics 2015-06-12 M. Merdan , Y. Xian

We study few-magnon excitations in a finite-size spin-$S$ chain with ferromagnetic nearest-neighbor (NN) interaction $J>0$ and antiferromagnetic next-nearest-neighbor (NNN) interaction $J'<0$, in the presence of the single-ion (SI)…

Strongly Correlated Electrons · Physics 2024-05-03 Jiawei Li , Ye Cao , Ning Wu

We investigate spin-$\frac{1}{2}$ anisotropic model of a linear chain of triangles with competing ferro- and antiferromagnetic interactions and ferromagneic Heisenberg interactions between triangles. For a certain ratio between interactions…

Strongly Correlated Electrons · Physics 2023-08-11 V. Ya. Krivnov , D. V. Dmitriev

We consider a spin-$\frac{1}{2}$ kagome-like chain with competing ferro- and antiferromagnetic anisotropic exchange interactions. The ground state phase diagram of this model consists of the ferromagnetic and ferrimagnetic phases. We study…

Strongly Correlated Electrons · Physics 2018-12-31 D. V. Dmitriev , V. Ya. Krivnov

Ground state properties, dispersion relations and scaling behaviour of spin gap of a bond alternating spin-$\frac{1}{2}$ anisotropic Heisenberg chain have been studied where the exchange interactions on alternate bonds are ferromagnetic…

Strongly Correlated Electrons · Physics 2017-06-23 S. Paul , A. K. Ghosh

We numerically investigate elementary excitations of the Heisenberg alternating-spin chains with two kinds of spins 1 and 1/2 antiferromagnetically coupled to each other. Employing a recently developed efficient Monte Carlo technique as…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , S. Brehmer , H. -J. Mikeska

Using the density matrix renormalization group technique, we evaluate the low-energy spectrum (ground state and first excited states) of the anisotropic antiferromagnetic spin-one-half chain under magnetic fields. We study both homogeneous…

Strongly Correlated Electrons · Physics 2009-11-07 F. Capraro , C. Gros
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