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We develop a general description of the superconductivity of lattice fermions based on the BCS theory.
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The name “Lambert W function” was proposed by the following authors: R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W function,” Adv. Comput. Math. 5
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2011
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This functional form has been obtained in an actual system in Ref. Kopnin et al. 2011 . Kopnin et al
2011
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2013
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N. Reyren, S. Thiel, A. D. Caviglia, L. Fitting Kourkoutis, G. Hammerl, C. Richter, C. W. Schneider, T. Kopp, A.-S. Rüetschi, D. Jaccard, M. Gabay, D. A. Muller, J.-M. Triscone, and J. Mannhart, “Superconducting Interfaces Between Insulating Oxides,” Science 317
2007
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I. Bloch, J. Dalibard, and W. Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
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N. B. Kopnin and E. B. Sonin, “BCS Superconductivity of Dirac Electrons in Graphene Layers,” Phys. Rev. Lett. 100
2008
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R. Bulla, T. A. Costi, and Th. Pruschke, “Numerical renormalization group method for quantum impurity systems,” Rev. Mod. Phys. 80
2008
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K. Noda, A. Koga, N. Kawakami, and Th. Pruschke, “Ferromagnetism of cold fermions loaded into a decorated square lattice,” Phys. Rev. A 80
2009
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A Bácsi, A. Virosztek, L. Borda, and B. Dóra, “Mean-field quantum phase transition in graphene and in general gapless systems,” Phys. Rev. B 82
2010
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The exact DOS of the one-dimensional system is given by ρ ( ω ) = 2 / π W 1 − ( 2 ω / W ) 2 \rho(\omega)=2/\pi W\sqrt{1-(2\omega/W)^{2}} . The one-dimensional VHS appears at the band edges ± 2 / W \pm 2/W as ∝ 1 / 1 ∓ 2 ω / W \propto 1/\sqrt{1\mp 2\omega/W}
Cited in the paper.
The DOS of fermions in pseudo-Landau-levels can be described with p = a = − ∞ p=a=-\infty or p = 1 p=1 . Such a system in strained graphene has been investigated in Ref. Uchoa and Barlas 2013
2013
Later among the works it cites.
E. Tang and L. Fu, “Strain-induced partially flat band, helical snake states and interface superconductivity in topological crystalline insulators,” Nat. Phys. 10
2014
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B. M. Ludbrook, G. Levy, P. Nigge, M. Zonno, M. Schneider, D. J. Dvorak, C. N. Veenstra, S. Zhdanovich, D. Wong, P. Dosanjh, C. StraÃer, A. Stöhr, S. Forti, C. R. Ast, U. Starke, and A. Damascelli, “Evidence for superconductivity in Li-decorated monolayer graphene,” PNAS 112
2015
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J.-F. Ge, Z.-L. Liu, C. Liu, C.-L. Gao, D. Qian, Q.-K. Xue, Y. Liu, and J.-F. Jia, “Superconductivity above 100 K in single-layer FeSe films on doped SrTiO 3 ,” Nat. Mater. 14
2015
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K. Noda, K. Inaba, and M. Yamashita, “Magnetism in the three-dimensional layered Lieb lattice: Enhanced transition temperature via flat-band and Van Hove singularities,” Phys. Rev. A 91
2015
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S. Taie, H. Ozawa, T. Ichinose, T. Nishio, S. Nakajima, and Y. Takahashi, “Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice,” Sci. Adv. 1
2015
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