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We study the dynamic spin correlation function of a spin one antiferromagnetic chain with easy-plane single-ion anisotropy. We use exact diagonalization by the Lancz\H os method for chains of lengths up to N=16 spins. We show that a…

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

This work studies the appearance of a Haldane gap in quasi one-dimensional antiferromagnets in the long wavelength limit, via the nonlinear $\sigma$-model. The mapping from the three-dimensional, integer spin Heisenberg model to the…

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

Using the valence-bond-solid (VBS) approach and the Schwinger boson mean field approximation, we study the dependence of the Haldane gap of a spin-1 linear chain Heisenberg antiferromagnet on impurity doping with different spins. The…

Condensed Matter · Physics 2016-08-31 Zhong-Yi LU , Zhao-Bin , SU , Lu YU

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

The anisotropic XXZ spin-1/2 Heisenberg chain is studied using renormalization-group theory. The specific heats and nearest-neighbor spin-spin correlations are calculated thoughout the entire temperature and anisotropy ranges in both…

Statistical Mechanics · Physics 2009-11-13 Ozan S. Sariyer , A. Nihat Berker , Michael Hinczewski

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 present a study of the spin-1/2 Heisenberg chain with alternating ferro- and antiferromagnetic exchange, focusing on the role of the exchange couplings to cover both, dimer and Haldane limit. Employing a complementary combination of…

Strongly Correlated Electrons · Physics 2020-01-15 Niklas Casper , Wolfram Brenig

The $S=1/2$ antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd…

Condensed Matter · Physics 2016-08-31 Naomichi Hatano , Yoshihiro Nishiyama

We investigate both numerically and analytically the behaviour of a spin-1 antiferromagnetic (AFM) isotropic Heisenberg chain in an external magnetic field. Extensive DMRG studies of chains up to N=80 sites extend previous analyses and…

Strongly Correlated Electrons · Physics 2009-10-31 L. Campos Venuti , E. Ercolessi , G. Morandi , P. Pieri , M. Roncaglia

Using the density matrix renormalization group technique, we study the ground state phase diagram and other low-energy properties of an isotropic antiferromagnetic spin-half chain with both dimerization and frustration, i.e., an alternation…

Condensed Matter · Physics 2009-10-22 R. Chitra , Swapan K. Pati , H. R. Krishnamurthy , D. Sen , S. Ramasesha

Ground state of the bond-random antiferromagnetic S=1 Heisenberg chain with the biquadratic interaction -\beta\sum_i(S_i S_i+1)^2 is investigated by means of the exact-diagonalization method and the finite-size-scaling analysis. It is shown…

Condensed Matter · Physics 2015-06-25 Yoshihiro Nishiyama

We have investigated Haldane's conjecture for the S=2 isotropic antiferromagnetic quantum spin chain with nearest-neighbor exchange J. Using a density matrix renormalization group algorithm for chains up to L=350 spins, we find in the…

Condensed Matter · Physics 2014-10-13 U. Schollwoeck , Th. Jolicoeur

The exact amplitude for the asymptotic correlation function in the S=1/2 Heisenberg antiferromagnetic chain is determined: <S^a_0 S^b_r> goes to (-1)^r delta^{ab}(ln r)^{1/2}/[(2 pi)^{3/2}r]. The behaviour of the correlation functions for…

Strongly Correlated Electrons · Physics 2009-10-31 Ian Affleck

An antiferromagnetic S=1/2 Heisenberg chain is mapped to the two-flavor massless Schwinger model at \theta=\pi. The electromagnetic coupling constant and velocity of light in the Schwinger model are determined in terms of the Heisenberg…

High Energy Physics - Theory · Physics 2009-10-31 Yutaka Hosotani

The thermodynamic properties of S>=1 ferromagnetic chains with an easy-axis single-ion anisotropy are investigated at arbitrary temperatures by both a Green-function approach, based on a decoupling of three-spin operator products, and by…

Strongly Correlated Electrons · Physics 2009-11-11 I. Juhász Junger , D. Ihle , J. Richter

Inelastic neutron scattering on deuterated single-crystal samples is used to study Haldane-gap excitations in the new S=1 one-dimensional quantum antiferromagnet NDMAP, that was recently recognized as an ideal model system for high-field…

Strongly Correlated Electrons · Physics 2009-10-31 A. Zheludev , Y. Chen , C. L. Broholm , Z. Honda , K. Katsumata

We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system…

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges.…

Condensed Matter · Physics 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , H. R. Krishnamurthy , S. Ramasesha

We successfully synthesized the zinc-verdazyl complex [Zn(hfac)$_2$]$\cdot$($o$-Py-V) [hfac = 1,1,1,5,5,5-hexafluoroacetylacetonate; $o$-Py-V = 3-(2-pyridyl)-1,5-diphenylverdazyl], which is an ideal model compound with an $S$ = 1/2…

By using Density Matrix Renormalization Group (DMRG) technique we study the phase diagram of 1D extended anisotropic Heisenberg model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions. We analyze…

Strongly Correlated Electrons · Physics 2015-11-24 Evgeny Plekhanov , Adolfo Avella , Ferdinando Mancini