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On the Superconductivity of 2D System with Arbitrary Carrier Density in External Magnetic Field

V. P. Gusynin·V. M. Loktev·I. A. Shovkovy
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Abstract

Selfconsistent equations which describe the order parameter and chemical potential behaviour in $2D$ metalic system as functions of external magnetic field, $H$, temperature, $T$, and carrier density, $n$, are obtained. It is shown that for the case of the local pairs (low carrier density and negative chemical potential $μ$) the derivative $dH_{c_2}(T)/dT$ at $T=T_c$ is essentially less then that for the system with Cooper pairs (high carrier density and positive chemical potential $μ\gg T_c$). It is found that in magnetic field satisfying the quantum limit criterium the system is characterized by non-trivial inhomogeneuos order parameter which can exist at rather high temperatures.

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V. P. Gusynin, V. M. Loktev, I. A. Shovkovy. 1995-06-22. On the Superconductivity of 2D System with Arbitrary Carrier Density in External Magnetic Field. https://arxiv.org/abs/cond-mat/9506102

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