2020
DOI: 10.1007/s10948-020-05602-2
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Superconductivity in Quantum Complex Matter: the Superstripes Landscape

Abstract: While in XX century the theory of superconductivity has focused on a homogeneous metal with a rigid lattice which can be reduced to a single effective conduction band in the dirty limit. Today in the XXI century, the physics of superconductivity is focusing on complexity of quantum matter where novel quantum functionalities with lattice inhomogeneity at nanoscale (between 1 nm and 100 nm) and at mesoscopic scale (in the range 100-10000 nm), where the electronic structure need to be described by multiple Fermi … Show more

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Cited by 4 publications
(3 citation statements)
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“…The phase diagram is complex (pseudo-gap, charge density waves, stripes, checkerboard patterns, etc. [49,50]); however, those phases should be related to characteristics of the pristine La 2 CuO 4 phase. La 2 CuO 4 is an insulating antiferromagnet of Mott or rather charge-transfer type, in which the lowest excitation involves the gap between the oxygen-character band and the upper Hubbard band: O 2− + Cu 2+ → O − + Cu + .…”
Section: Underdoped Cupratesmentioning
confidence: 99%
“…The phase diagram is complex (pseudo-gap, charge density waves, stripes, checkerboard patterns, etc. [49,50]); however, those phases should be related to characteristics of the pristine La 2 CuO 4 phase. La 2 CuO 4 is an insulating antiferromagnet of Mott or rather charge-transfer type, in which the lowest excitation involves the gap between the oxygen-character band and the upper Hubbard band: O 2− + Cu 2+ → O − + Cu + .…”
Section: Underdoped Cupratesmentioning
confidence: 99%
“…The key feature of the BPV theory is the calculation of the energy dependent pair-transfer exchange interaction, which generates the Fano-Feshbach resonance in the Bogoliubov multi-gap superconductivity theory [52] [53]. The energy dependent pair-transfer exchange term is calculated from the overlap of the four wave-functions of the two-electron pairs at the two Fermi levels as obtained from the solution of the Schrödinger equation [11,12,[25][26][27][28][54][55][56][57][58][59][60] or the Dirac equation [61] for the particular nanoscale superlattice in the real space. This provides the line-shape of the T c amplification by Fano-Feshbach resonance due to configuration interaction between different pairing channels in the two-gap superconductivity in artificial superlattices of quantum wires and quantum wells which is missing in the singlegap BCS theory.…”
Section: Introductionmentioning
confidence: 99%
“…Shape Resonances have been used to explain other phenomena. For instance, A Bianconi et al [31] were able to explain the dome shaped variation of the critical temperature upon doping observed in high-T c materials with a layered structure [32].…”
Section: Introductionmentioning
confidence: 99%