Stiffness in 1D Matrix Product States with periodic boundary conditions

Details Stiffness in 1D Matrix Product States with periodic boundary conditions Stiffness in 1D Matrix Product States with periodic boundary conditions

2011-02-17

arxiv.org/abs/1102.3562v2

J. Stat. Mech. (2011) P05021

Physics

Quantum Physics

23 pages, 9 figures. Published version, extensive changes

Scientific paper

10.1088/1742-5468/2011/05/P05021

We discuss in details a modified variational matrix-product-state algorithm for periodic boundary conditions, based on a recent work by P. Pippan, S.R. White and H.G. Everts, Phys. Rev. B 81, 081103(R) (2010), which enables one to study large systems on a ring (composed of N ~ 10^2 sites). In particular, we introduce a couple of improvements that allow to enhance the algorithm in terms of stability and reliability. We employ such method to compute the stiffness of one-dimensional strongly correlated quantum lattice systems. The accuracy of our calculations is tested in the exactly solvable spin-1/2 Heisenberg chain.

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