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Two-dimensional Josephson vortex lattice and anomalously slow decay of the Fraunhofer oscillations in a ballistic SNS junction with a warped Fermi surface | V. P. Ostroukh
; B. Baxevanis
; A. R. Akhmerov
; C. W. J. Beenakker
; | Date: |
27 Jun 2016 | Abstract: | $ $The critical current of a Josephson junction is an oscillatory function of
the enclosed magnetic flux $Phi$, because of quantum interference modulated
with periodicity $h/2e$. We calculate these Fraunhofer oscillations in a
two-dimensional (2D) ballistic superconductor--normal-metal--superconductor
(SNS) junction. For a Fermi circle the amplitude of the oscillations decays as
$1/Phi$ or faster. If the Fermi circle is strongly warped, as it is on a
square lattice near the band center, we find that the amplitude decays slower
$propto 1/sqrtPhi$ when the magnetic length $l_m=sqrt{hbar/eB}$ drops
below the separation $L$ of the NS interfaces. The crossover to the slow decay
of the critical current is accompanied by the appearance of a 2D array of
current vortices and antivortices in the normal region, which form a bipartite
rectangular lattice with lattice constant $simeq l_m^2/L$. The 2D lattice
vanishes for a circular Fermi surface, when only the usual single row of
Josephson vortices remains. | Source: | arXiv, 1606.8247 | Services: | Forum | Review | PDF | Favorites |
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