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Josephson effect in mesoscopic graphene strips with finite width | | Ali G. Moghaddam
; Malek Zareyan
; | | Date: |
22 Nov 2006 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Superconductivity | | Abstract: | We study Josephson effect in a ballistic graphene strip of length $L$ smaller than the superconducting coherence length and arbitrary width $W$. We find that the dependence of the critical supercurrent $I_{c}$ on $W$ is drastically different for different types of the edges. For extit{smooth} and extit{armchair} edges at low concentration of the carriers $I_{c}$ decreases monotonically with decreasing $W/L$ and tends to a constant minimum for a narrow strip $W/Llesssim1$. The minimum supercurrent is zero for smooth edges but has a finite value $eDelta_{0}/hbar$ for the armchair edges. At higher concentration of the carriers, in addition to this overall monotonic variation, the critical current undergoes a series of peaks with varying $W$. On the other hand in a strip with extit{zigzag} edges the supercurrent is half-integer quantized to $(n+1/2)4eDelta_{0}/hbar$, showing a step-wise variation with $W$. | | Source: | arXiv, cond-mat/0611577 | | Services: | Forum | Review | PDF | Favorites | |
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