2005/11/23 by Shi-Liang Zhu · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.96.077206
published as Phys. Rev. Lett. 96, 077206 (2006) (a slightly different version) · 4 pages
arxiv created 2005/11/23 · arxiv updated 2009/12/01
We show that geometric phase of the ground state in the XY model obeys scaling behavior in the vicinity of a quantum phase transition. In particular we find that geometric phase is non-analytical and its derivative with respect to the field strength diverges at the critical magnetic field. Furthermore, universality in the critical properties of the geometric phase in a family of models is verified. In addition, since quantum phase transition occurs at a level crossing or avoided level crossing and these level structures can be captured by Berry curvature, the established relation between geometric phase and quantum phase transitions is not a specific property of the XY model, but a very general result of many-body systems.