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Critical properties of 1-D spin 1/2 antiferromagnetic heisenberg model

J. F. Audet, A. Fledderjohann, C. Gerhardt +3 more

arXiv:cond-mat/9702026Springer eBooksApr 6, 20080 citations

Comment on 'Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results'

Marcio Jose Martins

Makes some observations on a recent paper by Affleck et al. (ibid., vol.22, p.511, (1989)) about the singlet excitation in the spin-s=1 integrable model and logarithmic corrections for integrable spin models.

Journal of Physics A Mathematical and GeneralApr 21, 19902 citations

Numerical Calculations of S=1 Heisenberg Antiferromagnetic Chain

M. Takahashi

Springer proceedings in physicsJan 1, 19920 citations

Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results

Ian K. Affleck, Doron Gepner, Heinz J. Schulz +1 more

A general phase diagram for isotropic antiferromagnetic chains has been proposed recently, using conformal field theory. This is developed further to predict the spectrum of finite chains, including logarithmic corrections. These predictions are tested against Bethe ansatz and exact diagonalisation results for various Hamiltonians with s=1/2, 1 and 3/2. Logarithmic corrections to correlation functions and the scaling of gaps for infinite systems are also given.

Journal of Physics A Mathematical and GeneralMar 7, 1989433 citations

Excitations and Critical Behavior in Generalized Heisenberg Spin Chains

J. C. Bonner, Gerhard H. Muller, John B. Parkinson

Springer proceedings in physicsJan 1, 19870 citations

Critical Behaviour of Mixed Heisenberg Chains

F. C. Alcaraz, A. L. Malvezzi

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the interesting property of ferrimagnetism instead of antiferromagnetism. Most of our results are centered in the mixed Heisenberg chain where we have at even (odd) sites a spin-S (S ′) SU(2) operator interacting with a XXZ like interaction (anisotropy ∆). Our results indicate universal properties for all these chains. The whole phase, 1> ∆> −1, where the models change from ferromagnetic ( ∆ = 1) to ferrimagnetic ( ∆ = −1) behaviour is critical. Along this phase the critical fluctuations are ruled by a c = 1 conformal field theory of Gaussian type. The conformal dimensions and critical exponents, along this phase, are calculated by studying these models with several boundary conditions. 1The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the interesting property of ferrimagnetism instead of antiferromagnetism. Most of our results are centered in the mixed Heisenberg chain where we have at even (odd) sites a spin-S (S ′) SU(2) operator interacting with a XXZ like interaction (anisotropy ∆). Our results indicate universal properties for all these chains. The whole phase, 1> ∆> −1, where the models change from ferromagnetic ( ∆ = 1) to ferrimagnetic ( ∆ = −1) behaviour is critical. Along this phase the critical fluctuations are ruled by a c = 1 conformal field theory of Gaussian type. The conformal dimensions and critical exponents, along this phase, are calculated by studying these models with several boundary conditions. 1

Jan 1, 199628 citations

Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results

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Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results

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