Finite Size Corrections in Quantum Correlated Chains

Tohru Koma, Nobuyuki Mizukoshi

Andrei A. Zvyagin

Quantum Spin- Chain with the Nearest-Neighbour Couplings Co-Ordinate Bethe Ansatz for a Heisenberg-Ising Ring Correlated Electron Chains: Co-Ordinate Bethe Ansatz Algebraic Bethe Ansatz Correlated Quantum Chains with Open Boundary Conditions Correlated Quantum Chains with Isolated Impurities Correlated Quantum Chains with a Finite Concentration of Impurities Finite Size Corrections in Quantum Correlated Chains Beyond the Integrability: Approximate Methods.

Andrei A. Zvyagin

M. Fannes, Bruno Nachtergaele, Reinhard F. Werner

Victor Barzykin, Ian K. Affleck

Corrections to the asymptotic correlation function in a Heisenberg spin- antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L . This leads to significant differences with numerical results. We calculate the sub-leading logarithmic corrections to the finite-size correlation function, using renormalization group improved perturbation theory, and compare the result with numerical data.

R. Bischof, P. R. Crompton

The leading corrections to finite-size scaling relations for the correlation length and twist order parameter of three mixed-spin quantum spin chains for the critical feature that develops at ϑ = π, corresponding to a change in the topological realization of the ground states, are identified.