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arXiv 0711.4338cond-mat.supr-concond-mat.mes-hall
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d波超导环中低能亚能隙态和磁通量的周期性

Low-energy subgap states and the magnetic flux periodicity in d-wave superconducting rings

Yu. S. Barash

摘要:

本文用解析方法求出了d波超导环中Aharonov-Bohm磁通量穿过的低能准粒子亚带隙态的波函数。在小的磁通量下,各自的能量最接近于间隙的中间位置,并且由于超导产生的多普勒频移而偏离费米面。多普勒频移的零能态导致环在小通量下的顺磁响应。这些状态只存在于库珀对的质量质心的偶数角动量中,这与最近对这个问题的数值研究结果一致。d波环中的宏观量子效应导致h/2 e周期性被破坏,只保留了具有变化的磁通量的超电流的h/e周期行为。

英文摘要:

Wave functions of low-energy quasiparticle subgap states in d-wave superconducting rings, threaded by Aharonov-Bohm magnetic flux, are found analytically. The respective energies are closest to the midgap position at small magnetic fluxes and deviate from the Fermi surface due to the Doppler shift, produced by the supercurrent. The Doppler-shifted zero-energy states result in a paramagnetic response of the ring at small fluxes. The states exist only for even angular momenta of the center of mass of Cooper pairs, in agreement with recent numerical studies of the problem. This macroscopic quantum effect in d-wave rings results in broken h/2e periodicity, retaining only the h/e periodic behavior of the supercurrent with varying magnetic flux.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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