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Nematic Order and Fluctuations in Iron-Based Superconductors

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The Iron Pnictide Superconductors

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 186))

Abstract

The goal of these lecture notes is to provide a semi-phenomenological explanation of the phase diagram of iron based superconductors, and to summarize theoretical predictions for the signatures of the nematic degrees of freedom in various experimentally measurable quantities. In most cases we will focus on the spin-driven nematic approach. We will use this approach to

  • Construct a phase diagram for the iron-based superconductors;

  • Develop a \(\varphi ^{4}\) theory of the nematic phase and make the prediction about the nature of the nematic transition;

  • Make predictions for the behaviour of the elastic modulus in the vicinity of a nematic/structural transition;

  • Calculate the Raman response function, in the normal state and in the superconducting state;

  • Calculate the resistivity anisotropy;

  • Discuss the signatures of the Ising-nematic state in the magnetic spectrum.

Finally, we will briefly address the impact of nematic fluctuations on superconductivity.

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Acknowledgements

U.K. would like to thank the Helmholtz Association for support, through Helmholtz post-doctoral grant PD-075 “Unconventional order and superconductivity in pnictides”. J.S. acknowledges the support from Deutsche Forschungsgemeinschaft (DFG) through the Priority Program SPP 1458 “Hochtemperatur-Supraleitung in Eisenpniktiden” (project-no. SCHM 1031/5-1).

We are grateful to the following colleagues for fruitful collaborations and discussions: E. Abrahams, J. Analytis, A. Baum, S. Bhattacharya, G. Blumberg, T. Böhm, A.E. Böhmer, P. C. Canfield, S. Caprara, P. Chandra, L. Chauviere, J. Chu, A.V. Chubukov, C. Di Castro, I. Eremin, I.R. Fisher, Y. Gallais, A. I. Goldman, M. Grilli, R. Hackl, F. Hardy, D. Jost, A. Kaminski, V. Keppens, M. Khodas, S. A. Kivelson, J. Knolle, H. Kontani, F. Krüger, F. Kretzschmar, S. Lederer, A. Levchenko, D. Mandrus, I. I. Mazin, M.A. McGuire, R. J. McQueeney, C. Meingast, B. Muschler, I. Paul, R. Prozorov, B.C. Sales, M. Schütt, A.S. Sefat and L.H. VanBebber. We thank R. Hackl for critical reading of large portions of the manuscript.

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  1. Institut für Theorie der Kondensierten Materie and Institut für Festkörperphysik, Karlsruher Institut für Technologie, 76131, Karlsruhe, Germany

    Una Karahasanovic & Joerg Schmalian

  2. School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55455, USA

    Rafael M. Fernandes

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  1. International Institute for Advance Scientific Studies, Vietri sul Mare, Salerno, Italy

    Ferdinando Mancini

  2. Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, Fisciano, Salerno, Italy

    Roberta Citro

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Karahasanovic, U., Fernandes, R.M., Schmalian, J. (2017). Nematic Order and Fluctuations in Iron-Based Superconductors. In: Mancini, F., Citro, R. (eds) The Iron Pnictide Superconductors. Springer Series in Solid-State Sciences, vol 186. Springer, Cham. https://doi.org/10.1007/978-3-319-56117-2_3

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