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Stiffness in 1D matrix product states with periodic boundary conditions

Thu, 2012-03-22 05:59 - Lukas Hanschke
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Date: 
2011-05-25
Author(s): 

D. Rossini, V. Giovannetti, and R. Fazio,

Reference: 

J. Stat. Mech. (2011) P05021

URL: 

http://iopscience.iop.org/1742-5468/2011/05/P05021

We discuss in detail a modified variational matrix product state algorithm for periodic boundary conditions, based on a recent work by Pippan et al (2010 Phys. Rev. B 81 081103(R)), which enables one to study large systems on a ring (composed of N ~ 102 sites). In particular, we introduce a couple of improvements allowing us to enhance the algorithm in terms of stability and reliability. We employ such a 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.