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arXiv 1012.2436cond-mat.supr-con
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多带超导体中高温超导性的Lifshitz转变形状共振

Shape resonance at a Lifshitz transition for high temperature superconductivity in multiband superconductors

Davide Innocenti, Antonio Valletta, Antonio Bianconi

摘要:

本文讨论了两带超导体在费米面颈坍缩和出现斑点时,通过调节Lifshitz跃迁处的化学势,在超导带隙中的形状共振。复杂物质的高温超导方案显示了共存的第一个BCS冷凝物制成的库珀对在第一个频带和第二个玻色子一样的凝聚物制成的玻色子一样的双极化子,在第二个频带的化学势调谐附近的Lifshitz转变。带间耦合控制了两种凝聚体对交换中的形状共振。我们讨论了特定的BCS-玻色交叉,发生在形状共振调谐的Lifshitz参数(化学势和Lifshitz拓扑转变之间的能量差),如调谐外部磁场的超冷气体中的费什巴赫共振。这种超导相提供了一个特殊的拓扑超导性的情况下,多个凝聚体的不同绕组数

英文摘要:

We discuss the shape resonance in the superconducting gaps of a two band superconductor by tuning the chemical potential at a Lifshitz transition for Femi surface neck collapsing and for spot appearing. The high temperature superconducting scenario for complex matter shows the coexistence of a first BCS condensate made of Cooper pairs in the first band and a second boson-like condensate made of bosons like bipolarons, in the second band where the chemical potential is tuned near a Lifshitz transition. The interband coupling controls the shape resonance in the pair exchange between the two condensates. We discuss the particular BCS-Bose crossover that occurs at the shape resonance tuning the Lifshitz parameter (the energy difference between the chemical potential and the Lifshitz topological transition) like tuning the external magnetic field for the Feshbach resonances in ultracold gases. This superconducting phase provides a particular case of topological superconductivity with multiple condensates of different winding numbers

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