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Order Parameter in Electron System: Its Fluctuations and Oscillations

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Abstract

The concept of the order parameter is extremely useful in physics. Here, I discuss extensions of this concept to cases when the order parameter is no longer a constant but fluctuates or oscillates in space and time. This allows one to describe in an unified manner diverse physical phenomena including coexisting superconductivity and insulators in (quasi)one-dimensional systems, superconductivity and Coulomb blockade in granular superconductors and Josephson networks, Anderson localization and mesoscopic effects in disordered and chaotic systems, and thermodynamic quantum time-space crystals.

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ACKNOWLEDGMENTS

Financial support of Deutsche Forschungsgemeinschaft (Projekt EF 11/10-1) and of the Ministry of Science and Higher Education of the Russian Federation in the framework of Increase Competitiveness Program of NUST “MISiS” (no. K2-2017-085”) is greatly appreciated.

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Correspondence to K. B. Efetov.

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Contribution for the JETP special issue in honor of I. M. Khalatnikov’s 100th anniversary

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Efetov, K.B. Order Parameter in Electron System: Its Fluctuations and Oscillations. J. Exp. Theor. Phys. 129, 680–692 (2019). https://doi.org/10.1134/S1063776119100030

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