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arXiv 1002.0548cond-mat.supr-con
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二维四脚Hubbard阶梯阵列中耦合Cooperon产生的超导性

Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders

R. M. Konik, T. M. Rice, A. M. Tsvelik

摘要:

从一个四脚哈伯德阶梯阵列开始,弱掺杂远离半填充和弱耦合的梯间隧穿,我们推导出一个有效的低能量模型,其中包含一个部分截断的费米面和一个定义良好的库珀子激发形成的束缚对孔。通过虚散射到库珀子态,在费米面上产生了库珀沟道中的吸引相互作用。虽然该模型是在弱耦合限制的四脚梯形阵列,严格的结果检查有限集团的强耦合t-J模型表明,基本特征也存在于一个强耦合哈伯德模型的正方形晶格附近的半填充。

英文摘要:

Starting from an array of four-leg Hubbard ladders weakly doped away from half-filling and weakly coupled by inter-ladder tunneling, we derive an effective low energy model which contains a partially truncated Fermi surface and a well defined Cooperon excitation formed by a bound pair of holes. An attractive interaction in the Cooper channel is generated on the Fermi surface through virtual scattering into the Cooperon state. Although the model is derived in the weak coupling limit of a four-leg ladder array, an examination of exact results on finite clusters for the strong coupling t-J model suggests the essential features are also present for a strong coupling Hubbard model on a square lattice near half-filling.

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