Critical exponents with a multiscale entanglement renormalization Ansatz channel
Abstract
We show how to compute the critical exponents of onedimensional quantum critical systems in the thermodynamic limit. The method is based on an iterative scheme applied to the multiscale entanglement renormalization Ansatz for the groundstate wave function. We test this scheme to compute the critical exponents of the Ising and XXZ model for which we can compare the method with the exact values. The agreement is at worst within few percent of the exact results already for moderate dimensions of the tensor indices.
 Publication:

Physical Review B
 Pub Date:
 September 2009
 DOI:
 10.1103/PhysRevB.80.113103
 arXiv:
 arXiv:0810.1414
 Bibcode:
 2009PhRvB..80k3103M
 Keywords:

 64.70.Tg;
 03.67.a;
 05.30.d;
 89.70.a;
 Quantum phase transitions;
 Quantum information;
 Quantum statistical mechanics;
 Information and communication theory;
 Quantum Physics;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 4 pages, 4 figures