Multi-critical behaviour in a self-dual Josephson junction array _fixed dimension renormalization versus large-N technique

International Conference on Strongly Correlated Electron Systems 2016

Sakhi, S.^1

Physics Department, American University of Sharjah, PO BOX 26666, United Arab Emirates^1

关键词: 1/N-expansion;    Chern-Simons term;    Complex fields;    Critical behaviour;    Josephson junction arrays;    Renormalization;    Renormalization group;    Stable fixed points;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/807/10/102003/pdf
DOI  :  10.1088/1742-6596/807/10/102003

来源: IOP

【 摘 要 】

Self-dual Josephson junction arrays are modelled by a theory of N components complex fields coupled to gauge fields. The multi-critical behaviour is analysed through a one loop renormalization group investigation at fixed dimension, which reveals the existence of charged infrared-stable fixed point solutions for large N. Further analysis of the model in the framework of the 1/N expansion confirms that the decoupled fixed point that was stable in the massive regime within the approximate one-loop renormalization group is destabilized. This is ascribed to the special interaction mediated by the mixed Chern-Simons term.