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Physics Letters A

Superconductive states with odd angular momentum pairing in the 2D repulsive Hubbard model

Cyril Leonidovich Malyshev, Victor Nikolaevich Popov

Published Mar 1, 1993• 9 citations
Publisher
DOI
10.1016/0375-9601(93)90856-u

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The Kohn-Luttinger (KL) mechanism of pairing, which describes superconductivity emergent from repulsive interactions, typically yields Cooper pairs at high angular-momentum (ℓ>0\ell > 0ℓ>0) and extremely low transition temperatures (TcT_cTc​). Here, we reveal an inter-layer s-wave (ℓ=0\ell=0ℓ=0) KL superconductivity with greatly elevated TcT_cTc​ in a multi-layer Hubbard model, which prototypes stacked two-dimensional (2D) electrons in layered van der Waals materials. By employing determinant quantum Monte Carlo and dynamical mean-field theory simulations, we show that a strong pairing attraction V∗V^{*}V∗, without the mediation of collective modes, can emerge between inter-layer electrons in the system. As inter-layer repulsion UUU increases, V∗V^{*}V∗ evolves from a conventional KL relation of V∗∝−U2V^{*} \propto -U^2V∗∝−U2, to a linear strong-coupling scaling of V∗∝−UV^{*} \propto -UV∗∝−U, resulting in enhanced superconductivity at large UUU. This strong-coupling KL pairing is robust against changes in lattice geometries and dimensionalities, and it can persist, in the presence of a large remnant Coulomb repulsion U∗U^{*}U∗ between pairing electrons. Using \textit{ab initio} calculations, we propose a few 2D layered van der Waals materials that can potentially realize and control this unconventional superconductivity.