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d-wave superconductivity in coupled ladders

J. P. L. Faye, S. R. Hassan, P. V. Sriluckshmy, G. Baskaran, D. Sénéchal

DOI 10.1103/PhysRevB.91.195126 · Physical Review B

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Abstract

We study the one-band Hubbard model on the trellis lattice, a two-dimensional frustrated lattice of coupled two-leg ladders, with hopping amplitude t within ladders and t′ between ladders. For large U/t this is a model for the cuprate Sr14−xCaxCu24O41. We investigate the phase diagram as a function of doping for U=10t using two quantum cluster methods: The variational cluster approximation (VCA), with clusters of sizes 8 and 12, and cellular dynamical mean field theory (CDMFT), both at zero temperature. Both methods predict a superconducting dome, ending at roughly 20% doping in VCA and 15% in CDMFT. In VCA, the superconducting order parameter is complex in a range of doping centered around 10%, corresponding to bulk chiral, T-violating superconductivity. However, the CDMFT solution is not chiral. We find evidence for a migration of the Cooper pairs from the interladder region towards the plaquettes as doping is increased.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
Sr14-xCaxCu24O41

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123 GPaunknown
Sr14-xCaxCu24O41

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

94.5 GPaunknown
Sr3Ca11Cu24O41

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12Pressure not reportedunknown
Sr3Ca11Cu24O41

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240.06 GPaunknown

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