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Analytical derivation of DC SQUID response | | I. I. Soloviev
; N. V. Klenov
; A. E. Schegolev
; S. V. Bakurskiy
; M. Yu. Kupriyanov
; | | Date: |
8 Aug 2016 | | Abstract: | We consider voltage and current responses formation in DC SQUID with
overdamped Josephson junctions in resistive and superconducting state in the
frame of resistively shunted junction (RSJ) model. For simplicity we neglect
the junction capacitance and the noise effect. Explicit expressions for the
responses in resistive state were obtained for a SQUID which is symmetrical
with respect to bias current injection point. Normalized SQUID inductance $l =
2 e I_c L/hbar$ (where $I_c$ is the critical current of Josephson junction,
$L$ is the SQUID inductance, $e$ is the electron charge and $hbar$ is the
Planck constant) was assumed to be within the range $l leq 1$, subsequently
expanded up to $l approx 7$ using two fitting parameters. SQUID current
response in superconducting state was considered for arbitrary value of the
inductance. Impact of small technological spread of parameters relevant for
low-temperature superconductor (LTS) technology was studied with generalization
of the developed analytical approach for a case of small difference of critical
currents and shunt resistances of the Josephson junctions, and inequality of
SQUID inductive shoulders for both resistive and superconducting states.
Comparison with numerical calculation results shows that developed analytical
expressions can be used in practical LTS SQUIDs and SQUID-based circuits
design, e.g. large serial SQIF, drastically decreasing the time of simulation. | | Source: | arXiv, 1608.2325 | | Services: | Forum | Review | PDF | Favorites | |
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