1206.2047 (R. Jafari)

Quantum Renormalization Group and Geometric Phases    [PDF]

R. Jafari

A relation between geometric phases and criticality of spin chains are studied by using the quantum renormalization-group approach. We have shown how the geometric phase evolve as the size of the system becomes large, i.e., the finite size scaling is obtained. The renormalization scheme demonstrates how the first derivative of the geometric phase with respect to the field strength diverges at the critical point and maximum value of the first derivative and its position scales with an exponent of the system size. It is shown that this exponent is directly associated with the critical properties of the model, i.e., the exponent governing the divergence of the correlation length close to the quantum critical point.

View original: http://arxiv.org/abs/1206.2047