Contradiction between the results of observations of resistance and critical current quantum oscillations in asymmetric superconducting rings

Multiple superconducting ring ratchets for ultrasensitive detection of non-equilibrium noises

“…19 in [10]. The anisotropy I c,an appears due to the shift of the dependence I c+ (Φ/Φ 0 ), I c− (Φ/Φ 0 ) in the opposite direction [11]. The shift arrives at a quarter of the flux quantum Φ 0 /4 [10,11].…”

“…The anisotropy I c,an appears due to the shift of the dependence I c+ (Φ/Φ 0 ), I c− (Φ/Φ 0 ) in the opposite direction [11]. The shift arrives at a quarter of the flux quantum Φ 0 /4 [10,11]. The shift of the dependence I c+ (Φ/Φ 0 ), I c− (Φ/Φ 0 ) of the critical current of the 667 rings with r ≈ 0.5 µm is hardly noticeable in comparison with the one of the single ring with r ≈ 2 µm and more strong asymmetry [10,11].…”

“…The shift arrives at a quarter of the flux quantum Φ 0 /4 [10,11]. The shift of the dependence I c+ (Φ/Φ 0 ), I c− (Φ/Φ 0 ) of the critical current of the 667 rings with r ≈ 0.5 µm is hardly noticeable in comparison with the one of the single ring with r ≈ 2 µm and more strong asymmetry [10,11]. The comparison of the magnetic dependence I c+ (Φ/Φ 0 ) and I c− (Φ/Φ 0 ) demonstrates very slight anisotropy of the critical current, Fig.…”

“…The current (2) should appear when all ring segment are switched in superconducting state and should decay because of dissipation when at least one segment is switched in the normal state with a resistance R [5,6]. Numerous measurements [9][10][11] testify to the predominant probability P n ∝ exp −E n /k B T of the permitted state n (1) with the minimal value of the kinetic energy…”

“…The measurements of the critical current [10,11] testify that two values of the persistent current (2) corresponding to n and n + 1 are observed only in a special case [12] because of the strong discreteness of spectrum (3): nent V dc may be expected to observe on the segment when it is switched between superconducting and normal states [5,6] due to this ratchet effect. The dc voltage should oscillate with magnetic field likewise the average value of the persistent current I p = (nΦ 0 − Φ)/L k , where n = n nP n (Φ) and P n (Φ) is the probability of the switching in superconducting state with the quantum number n at magnetic flux inside the ring Φ.…”