Quantum renormalization group approach to geometric phases in spin chains. (English) Zbl 1301.82019
Summary: A relation between geometric phases and criticality of spin chains are studied using the quantum renormalization-group approach. I 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 the exponent of the system size.
MSC:
| 82B28 | Renormalization group methods in equilibrium statistical mechanics |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
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