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- W1508284413 abstract "The ground-state phase diagram of the one-dimensional Hubbard chain with pair-hopping interaction is studied. The analysis of the model is performed using the continuum-limit field theory approach and exact diagonalization studies. At half-filling the phase diagram is shown to consist of two superconducting states with Cooper-pair center-of-mass momentum $Q=0 (mathrm{BCS}ensuremath{-}{ensuremath{eta}}_{0}$ phase) and $Q=ensuremath{pi} ({ensuremath{eta}}_{ensuremath{pi}}$ phase) and four insulating phases corresponding to the Mott antiferromagnet, the Peierls dimerized phase, the charge-density-wave (CDW) insulator, and an unconventional insulating phase characterized by the coexistence of a CDW and a bond-located staggered magnetization. Away from half-filling the phase diagram consists of the superconducting $mathrm{BCS}ensuremath{-}{ensuremath{eta}}_{0}$ and ${ensuremath{eta}}_{ensuremath{pi}}$ phases and the metallic Luttinger-liquid phase. The $mathrm{BCS}ensuremath{-}{ensuremath{eta}}_{0}$ phase exhibits a smooth crossover from a weak-coupling BCS type to a strong-coupling local-pair regime. The ${ensuremath{eta}}_{ensuremath{pi}}$ phase shows the properties of the doublon (zero-size Cooper-pair) superconductor with Cooper-pair center-of-mass momentum $Q=ensuremath{pi}.$ The transition into the ${ensuremath{eta}}_{ensuremath{pi}}$-paired state corresponds to an abrupt change in the ground-state structure. After the transition the conduction band is completely destroyed and a new ${ensuremath{eta}}_{ensuremath{pi}}$-pair band, corresponding to the strongly correlated doublon motion, is created." @default.
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- W1508284413 date "2001-12-13" @default.
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- W1508284413 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>η</mml:mi></mml:math>-pairing superconductivity in the Hubbard chain with pair hopping" @default.
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- W1508284413 doi "https://doi.org/10.1103/physrevb.65.014518" @default.
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