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arXiv 0811.1648cond-mat.mes-hallcond-mat.supr-con
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与超导导线和普通导线接触的介观混合结构中的稳态输运。多端装置的格林函数法

Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires. A Green's function approach for multiterminal setups

Liliana Arrachea

摘要:

我们推广了Langreth和Nordlander [Phys.Rev.B432541(1991)]和Meir和Wingreen [Phys.Rev.Lett.1994]提出的实时格林函数的表示。68 2512(1992)]中的稳态量子输运,以便研究包含正常(N)和超导(S)块的混合结构的问题。我们举例说明了在一个静态偏置下的S-N结的处理,并详细研究了在一个正常的环通过一个磁通量与附加的超导导线在平衡时的平衡电流的行为。我们分析了Andreev态的磁通灵敏度,并证明了Andreev态的磁通灵敏度与孤立超导环中动量q=0的库珀对的磁通灵敏度是等价的。

英文摘要:

We generalize the representation of the real time Green's functions introduced by Langreth and Nordlander [Phys. Rev. B 43 2541 (1991)] and Meir and Wingreen [Phys. Rev. Lett. 68 2512 (1992)] in stationary quantum transport in order to study problems with hybrid structures containing normal (N) and superconducting (S) pieces. We illustrate the treatment in a S-N junction under a stationary bias and investigate in detail the behavior of the equilibrium currents in a normal ring threaded by a magnetic flux with attached superconducting wires at equilibrium. We analyze the flux sensitivity of the Andreev states and we show that their response is equivalent to the one corresponding to the Cooper pairs with momentum q=0 in an isolated superconducting ring.

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