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d-wave superconductivity in coupled ladders

机译:耦合阶梯中的d波超导

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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 Sr_(14-x)Ca_xCu_(24)O_(41). 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.
机译:我们研究了格子格上的单带Hubbard模型,格子格是耦合的两腿梯子的二维受挫格子,梯子内的跳跃幅度为t,而梯子之间为t'。对于大U / t,这是铜价Sr_(14-x)Ca_xCu_(24)O_(41)的模型。我们使用两种量子簇方法研究相图作为U = 10t掺杂的函数:均在零温度下具有8和12尺寸簇的变分簇近似(VCA)和细胞动力学平均场论(CDMFT) 。两种方法都可以预测出超导圆顶,最终在VCA中掺杂约20%,在CDMFT中掺杂约15%。在VCA中,超导阶数参数在以10%为中心的掺杂范围内很复杂,这对应于手征性的,违反T的超导性。但是,CDMFT解决方案不是手性的。我们发现有证据表明,随着掺杂的增加,库珀对从阶梯间区域向球栅迁移。

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