@article{89a36e2dbe7f49a59a501b757b4fd331,
title = "Nambu-Jona Lasinio and nonlinear sigma models in condensed matter systems",
abstract = "We review various connections between condensed matter systems with the Nambu-Jona- Lasinio model and nonlinear sigma models. The field theoretical description of interacting systems offers a systematic framework to describe the dynamical generation of condensates. Recent findings of a duality between the Nambu-Jona-Lasinio model and nonlinear sigma models enables us to investigate various properties underlying both theories. In this review, we mainly focus on inhomogeneous condensations in static situations. The various methods developed in the Nambu-Jona-Lasinio model reveal the inhomogeneous phase structures and also yield new inhomogeneous solutions in nonlinear sigma models owing to the duality. The recent progress on interacting systems in finite systems is also reviewed.",
keywords = "Condensed matter system, Lowdimensional system, Nambu-Jona-Lasinio model, Nonlinear σ model, Superconductivity, Superfluidity, Ultracold atomic gases",
author = "Ryosuke Yoshii and Muneto Nitta",
note = "Funding Information: Acknowledgments: We would like to thank Antonino Flachi, Hisao Hayakawa, Giacomo Marmorini, Satoshi Takada, Daisuke Takahashi, and Shunji Tsuchiya for collaborations in the original works on which this review article was based. This work is supported by the Ministry of Education, Culture, Sports, Science (MEXT)-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006). The work of M.N. is also supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 16H03984 and No. 18H01217) and a Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (KAKENHI Grant No. 15H05855). The work of R.Y. is supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 19K14616). Funding Information: Funding: Ministry of Education, Culture, Sports, Science (MEXT)-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006). Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 16H03984 and No. 18H01217). Grant-in-Aid for Scientific Research on Innovative Areas “Topological Materials Science” (KAKENHI Grant No. 15H05855). Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grant No. 19K14616). Publisher Copyright: {\textcopyright} 2019 by the authors.",
year = "2019",
month = may,
day = "1",
doi = "10.3390/sym11050636",
language = "English",
volume = "11",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "5",
}