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- W4285704191 abstract "We study the continuum version of the two-gap BCS model in (3+1)D within the large-N approximation. We calculate the effective potential of the model which depends on two independent energy gaps $sigma$ and $Delta$, where $sigma$ describes the Cooper pair made of electrons that belong to the same flavor whereas $Delta$ describes the Cooper pair of electrons that belong to different flavors. The effective potential is calculated by considering that the Debye frequency is an ultraviolet cutoff $Lambda$, which is meant to describe the physical lattice of 3D superconductors. Our main result establishes a critical gap $Delta^c_0$ above which the system is in the normal phase where $sigma_0=langlesigmarangle=0$ and below the system is in the superconductor phase. Furthermore, we also show that $Delta^c_0$ defines the energy scale for the critical temperature $T_{c2}approx Delta^c_0 e^{gamma_E}/pi$ of $sigma_0$, where $gamma_Eapprox 0.57$ is the Euler constant. Our results are likely to be relevant for describing two-gap superconductors, such as MgB$_2$ and underdoped cuprates, within a field-theory perspective. Furthermore, it may be relevant for studying steady-state superconductivity in lower dimension." @default.
- W4285704191 created "2022-07-18" @default.
- W4285704191 creator A5084757292 @default.
- W4285704191 date "2021-05-03" @default.
- W4285704191 modified "2023-09-28" @default.
- W4285704191 title "The two-gap BCS model in the large-$N$ approximation within a field-theory approach" @default.
- W4285704191 doi "https://doi.org/10.48550/arxiv.2105.01014" @default.
- W4285704191 hasPublicationYear "2021" @default.
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