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Title: Scaling of geometric phase versus band structure in cluster-Ising models
Authors: Nie, Wei
Mei, Feng
Amico, Luigi
Kwek, Leong Chuan
Keywords: Cluster Interactions
Dynamical Critical Exponent
Issue Date: 2017
Source: Nie, W., Mei, F., Amico, L., & Kwek, L. C. (2017). Scaling of geometric phase versus band structure in cluster-Ising models. Physical Review E, 96(2), 020106-.
Series/Report no.: Physical Review E
Abstract: We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by an Ising exchange interaction and external magnetic field. The various phases are studied through winding numbers. They may be ordinary phases with local order parameters or exotic ones, known as symmetry protected topologically ordered phases. Quantum phase transitions with dynamical critical exponents z = 1 or z = 2 are found. In particular, the criticality is analyzed through finite-size scaling of the geometric phase accumulated when the spins of the lattice perform an adiabatic precession. With this study, we quantify the scaling behavior of the geometric phase in relation to the topology and low-energy properties of the band structure of the system.
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.96.020106
Organisations: MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit
Research Centres: Institute of Advanced Studies 
Rights: © 2017 American Physical Society (APS). This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:IAS Journal Articles

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