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We investigate a one-dimensional S=1 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. Investigating the ground state energy of the static bond-alternating chain, we find that the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita

Using a new impurity density matrix renormalization group scheme, we establish a reliable picture of how the low lying energy levels of a $S=1$ Heisenberg antiferromagnetic chain change {\it quantitatively} upon bond doping. A new impurity…

Condensed Matter · Physics 2009-10-28 Xiaqun Wang , Steffen Mallwitz

By using Lanczos exact diagonalization and quantum Monte Carlo combined with stochastic analytic continuation, we study the dynamical properties of the $S=1$ antiferromagnetic Heisenberg chain with different strengths of bond disorder. In…

Strongly Correlated Electrons · Physics 2021-12-23 Jing-Kai Fang , Jun-Han Huang , Han-Qing Wu , Dao-Xin Yao

We study the phase transition of isotropic spin-1 models in the vicinity of the Uimin-Lai-Sutherland model by using the SU(3)_1 WZW model with certain marginal perturbations. The unstable RG trajectory by a marginally relevant perturbation…

Statistical Mechanics · Physics 2016-08-31 Chigak Itoi , Masa-Hide Kato

The antiferromagnetic Heisenberg spin chain with integer spin has short-range magnetic order and an excitation energy gap above the ground state. This so-called Haldane gap is proportional to the exchange coupling $J$ of the Heisenberg…

Strongly Correlated Electrons · Physics 2019-07-19 Thierry Jolicoeur , Olivier Golinelli

The antiferromagnetic Heisenberg spin chain of odd spin $S$ is in the Haldane phase with several defining physical properties, such as thermodynamical ground-state degeneracy, symmetry-protected edge states, and nonzero string order…

Strongly Correlated Electrons · Physics 2014-07-11 Qing-Rui Wang , Peng Ye

In this article, we study the one dimensional Heisenberg spin-1/2 alternating bond chain in which the nearest neighbor exchange couplings are ferromagnetic (FM) and antiferromagnetic (AF) alternatively. By using exact diagonalization and…

Strongly Correlated Electrons · Physics 2009-11-10 Hsiang-Hsuan Hung , Chang-De Gong

We consider the dimerized spin-1 $XXZ$ chain with single-ion anisotropy $D$. In absence of an explicit dimerization there are three phases: a large-$D$, an antiferromagnetically ordered and a Haldane phase. This phase structure persists up…

Strongly Correlated Electrons · Physics 2018-12-11 Satoshi Ejima , Tomoki Yamaguchi , Fabian H. L. Essler , Florian Lange , Yukinori Ohta , Holger Fehske

The $s=1$ Heisenberg Antiferromagnet is studied in the presence of two kinds of local impurities. First, a perturbed antiferromagnetic bond with $J'\ne J$ at the center of an even-length open chain is considered. Using the density matrix…

Condensed Matter · Physics 2009-10-22 Erik Sorensen , Ian Affleck

We study the evolution of the dynamical spin structure factor in a spin-1 antiferromagnetic Heisenberg chain which is randomly doped with spin-1/2 moments. Using stochastic series expansion Quantum Monte Carlo simulations combined with the…

Strongly Correlated Electrons · Physics 2009-11-07 Stefan Wessel , Stephan Haas

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 study a Kagome-like spin-$1/2$ Heisenberg ladder with competing ferromagnetic (FM) and antiferromagnetic (AFM) exchange interactions. Using the density-matrix renormalization group based calculations, we obtain the ground state phase…

Strongly Correlated Electrons · Physics 2021-05-13 Tomoki Yamaguchi , Yukinori Ohta , Satoshi Nishimoto

We investigate the low-temperature properties of the one-dimensional spin-1 Heisenberg model with geometric fluctuations induced by aperiodic but deterministic coupling distributions, involving two parameters. We focus on two aperiodic…

Strongly Correlated Electrons · Physics 2014-04-15 H. L. Casa Grande , N. Laflorencie , F. Alet , A. P. Vieira

Low-lying excited states as well as the ground state of the spin-1 antiferromagnetic Heisenberg chain with a spin-1/2 impurity are studied by means of a method of numerical diagonalization. The isotropic nearest-neighbor exchange coupling…

Condensed Matter · Physics 2009-10-28 Takashi Tonegawa , Makoto Kaburagi

We formulate a real-space renormalization scheme that allows the study of the effects of bond randomness in the Heisenberg antiferromagnetic spin-1 chain. There are four types of bonds that appear during the renormalization flow. We…

Strongly Correlated Electrons · Physics 2009-10-30 C. Monthus , O. Golinelli , Th. Jolicoeur

We study a frustrated antiferromagnetic isotropic Heisenberg $S=1$ chain using a variational ansatz and the DMRG. At $\alpha_D=0.284(1)$, there is a disorder point of the second kind, marking the onset of incommensurate correlations in the…

Condensed Matter · Physics 2009-10-28 A. Kolezhuk , R. Roth , U. Schollwoeck

We study the isotropic spin-$\frac{1}{2}$ Heisenberg chain with a single edge-coupled impurity of arbitrary exchange strength $J$. The model exhibits four impurity phases. For antiferromagnetic couplings ($J>0$): a \textit{Kondo phase} at…

Strongly Correlated Electrons · Physics 2025-08-28 Abay Zhakenov , Pradip Kattel , Natan Andrei

Motivated by the magnetic properties of the spin-chain compounds LiCuSbO$_4$$\equiv$LiSbCuO$_4$ and Rb$_2$Cu$_2$Mo$_3$O$_{12}$, we study the ground state of the Heisenberg chain with dimerized nearest-neighbor ferromagnetic (FM)($J_1,…

Strongly Correlated Electrons · Physics 2017-09-05 Cliò Efthimia Agrapidis , Stefan-Ludwig Drechsler , Jeroen van den Brink , Satoshi Nishimoto

We present a comprehensive analysis of boundary phenomena in a spin-$\frac{1}{2}$ anisotropic Heisenberg chain (XXZ-$\frac{1}{2}$) in the gapped antiferromagnetic phase, with a particular focus on the interplay between fractionalized…

Strongly Correlated Electrons · Physics 2025-06-05 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Natan Andrei

We investigate the magnetic field behaviour of an antiferromagnetic Heisenberg spin-1 chain with the most general single-ion anisotropy. We discuss the regime in which the magnetic field is below the transition value. The splitting of the…

Condensed Matter · Physics 2009-10-22 O. Golinelli , Th. Jolicoeur , R. Lacaze