Novel Superfluids 2014
DOI: 10.1093/acprof:oso/9780198719267.003.0004
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Superconductivity from repulsive interaction

Abstract: Abstract. The BCS theory of superconductivity named electron-phonon interaction as a glue that overcomes Coulomb repulsion and binds fermions into pairs which then condense and super-conduct. We review recent and not so recent works aiming to understand whether a nominally repulsive Coulomb interaction can by itself give rise to a superconductivity. We first discuss a generic scenario of the pairing by electron-electron interaction, put forward by Kohn and Luttinger back in 1965, and then turn to modern studie… Show more

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Cited by 16 publications
(21 citation statements)
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References 99 publications
(147 reference statements)
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“…This mechanism has been analyzed within RPA [14,15] and within the renormalization group (RG) [16], and was recently re-discovered [17]. The outcome is that, depending on parameters, spin fluctuations either favor s +− SC with the gap changing sign between the inner and the middle d xz /d yz pockets [14,15], or d−wave SC with the gap predominantly residing on the outer d xy pocket [16] Each scenario has a potential to explain superconductivity in KFe 2 As 2 , but the key shortcoming of both is that s−wave and the d−wave attractions are very weak [15] because the mechanism is essentially of Kohn-Luttinger type [18]. Additionally, the d−wave pairing scenario yields the largest gap on the d xy pocket, which is inconsistent with laser ARPES [6].…”
Section: Pacs Numbersmentioning
confidence: 99%
“…This mechanism has been analyzed within RPA [14,15] and within the renormalization group (RG) [16], and was recently re-discovered [17]. The outcome is that, depending on parameters, spin fluctuations either favor s +− SC with the gap changing sign between the inner and the middle d xz /d yz pockets [14,15], or d−wave SC with the gap predominantly residing on the outer d xy pocket [16] Each scenario has a potential to explain superconductivity in KFe 2 As 2 , but the key shortcoming of both is that s−wave and the d−wave attractions are very weak [15] because the mechanism is essentially of Kohn-Luttinger type [18]. Additionally, the d−wave pairing scenario yields the largest gap on the d xy pocket, which is inconsistent with laser ARPES [6].…”
Section: Pacs Numbersmentioning
confidence: 99%
“…Since we are concerned with the low-density limit, we instead work with the full set of equations, Eqs. (8)(9)(10).…”
Section: Migdal-eliashberg Approximationmentioning
confidence: 99%
“…But they are so complex that researchers are forced to consider them separately in order to find the key concepts and express key ideas explaining the huge totality of experimental data. General discussion and the analysis of high-T c -oxide superconductivity can be found in comprehensive reviews [21,25,42,50,53,65,73,75,78,80,86,89,104]. In particular, the main questions to be solved are as follows: (i) Is superconductivity in cuprates a conventional one based on the Cooper pairing concept?…”
Section: Introductionmentioning
confidence: 99%