Journal
PHYSICS LETTERS A
Volume 377, Issue 45-48, Pages 3279-3282Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2013.10.034
Keywords
Quantum renormalization group; Geometric phase
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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. (C) 2013 Elsevier B.V. All rights reserved.
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