TY - JOUR

T1 - Coherent transport in Josephson-junction rhombi chain with quenched disorder

AU - Protopopov, Ivan V.

AU - Feigel'man, Mikhail V.

PY - 2006

Y1 - 2006

N2 - We consider a chain of Josephson-junction rhombi (proposed originally by Douçot and Vidal) in the quantum regime. In the maximally frustrated case when magnetic flux through each rhombi Φr is equal to one-half of the superconductive flux quantum Φ0, the Josephson current is due to the correlated transport of pairs of Cooper pairs; i.e., charge is quantized in units of 4e. A sufficiently strong deviation δΦ≡ Φr - Φ0 2 >δ Φc from the maximally frustrated point brings the system back to the usual 2e -quantized supercurrent. For a regular chain δ Φc was calculated by us in Phys. Rev. B 70, 184519 (2004). Here we present a detailed analysis of the effect of quenched disorder (random stray charges and random fluxes piercing rhombi) on the pairing effect. For the case of a chain with random stray charges in the quantum regime we derive the probability to find the system in the 4e -dominated regime and estimate the characteristic value of the critical deflection δ Φc.

AB - We consider a chain of Josephson-junction rhombi (proposed originally by Douçot and Vidal) in the quantum regime. In the maximally frustrated case when magnetic flux through each rhombi Φr is equal to one-half of the superconductive flux quantum Φ0, the Josephson current is due to the correlated transport of pairs of Cooper pairs; i.e., charge is quantized in units of 4e. A sufficiently strong deviation δΦ≡ Φr - Φ0 2 >δ Φc from the maximally frustrated point brings the system back to the usual 2e -quantized supercurrent. For a regular chain δ Φc was calculated by us in Phys. Rev. B 70, 184519 (2004). Here we present a detailed analysis of the effect of quenched disorder (random stray charges and random fluxes piercing rhombi) on the pairing effect. For the case of a chain with random stray charges in the quantum regime we derive the probability to find the system in the 4e -dominated regime and estimate the characteristic value of the critical deflection δ Φc.

UR - http://www.scopus.com/inward/record.url?scp=33748140767&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.74.064516

DO - 10.1103/PhysRevB.74.064516

M3 - Article

AN - SCOPUS:33748140767

VL - 74

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 6

M1 - 064516

ER -