Voltage response of non-uniform arrays of bi-superconductive quantum interference devices

Longhini, Patrick; Berggren, Susan; Escobar, Anna Leese de; Palacios, Antonio Lozano; Rice, Sarah E.; Taylor, B. J.; In, Visarath; Mukhanov, Oleg A.; Prokopenko, G.I.; Nisenoff, M.; Wong, E.; Andrade, M. C. de

doi:10.1063/1.4712039

Cited by 26 publications

(23 citation statements)

References 64 publications

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“…For comparison, we designed serial arrays with and without J3 shunting. As the linearity of bi-SQUID response is a strong function of J3 critical current, we kept J3 unchanged and varied inductors and inductive coupling between control line and bi-SQUID cells guided by theoretical model described in detail earlier [41]. This method is summarized below.…”

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confidence: 99%

DC and RF Measurements of Serial Bi-SQUID Arrays

Prokopenko

Mukhanov

Escobar

et al. 2013

IEEE Trans. Appl. Supercond.

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SQUID arrays are promising candidates for low profile antennas and low noise amplifier applications. We present the integrated circuit designs and results of DC and RF measurements of the wideband serial arrays based on integration of linear bi-SQUID cells forming a Superconducting Quantum Interference Filter (bi-SQUID SQIF). Various configurations of serial arrays designs are described. The measured linearity, power gain, and noise temperature are analyzed and compared. The experimental results are matched to results of mathematical modeling. A serial bi-SQUID SQIF arrays are mounted into a coplanar waveguide (CPW) and symmetrically grounded to corresponding sides of CPW. The RF output comes out from the central common line, which is also used for DC biasing and forms a symmetrical balanced output. The signal and DC flux biasing line is designed as coplanar lines passed in parallel over each bi-SQUID cell in a bidirectional fashion concentrating magnetic flux inside of each cell. Serial bi-SQUID SQIF arrays are fabricated on 5 mm x 5 mm chips using standard HYPRES niobium 4.5 kA/cm 2 fabrication process.Index Terms-noise temperature, broadband, electrically small antenna, low noise amplifier, high sensitivity, high linearity

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confidence: 99%

DC and RF Measurements of Serial Bi-SQUID Arrays

Prokopenko

Mukhanov

Escobar

et al. 2013

IEEE Trans. Appl. Supercond.

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“…For symmetrical case this expression converts into (25) with corresponding scaling coefficients. However, contrary to (25) here the time-averaged circulating current, in general, has some offset due to redistribution of the bias current. For the bias current equal to the SQUID critical current i b = Σi c the averaged circulating current at ψ * − = 0 is…”

Section: 22mentioning

confidence: 99%

“…The averaged circulating current i cir versus the external flux φe calculated using expression(25) with ψ − = −φe (solid lines) and obtained by numerical calculations of system (1) (dots). (a) i b = 2, l = 1.…”

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confidence: 99%

Analytical derivation of DC SQUID response

Soloviev

Klenov

Schegolev

et al. 2016

Supercond. Sci. Technol.

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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 = 2eIcL/ (where Ic is the critical current of Josephson junction, L is the SQUID inductance, e is the electron charge and is the Planck constant) was assumed to be within the range l ≤ 1, subsequently expanded up to l ≈ 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.PACS numbers: 85.25.Dq, 85.25.Am

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“…The Josephson junctions are assumed to be symmetric, in particular having identical critical currents I c1 and i c2 that we use to normalize all the other currents in our consideration. The system of equations that models a single SQUID dynamics [42] iṡ…”

Section: Background: the Single Squid And Bi-squidmentioning

confidence: 99%

Development of 2-D Bi-SQUID Arrays With High Linearity

Berggren

Prokopenko

Longhini

et al. 2013

IEEE Trans. Appl. Supercond.

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We develop a two-dimensional (2D) Superconducting Quantum Interference Filter (SQIF) array based on recently introduced high-linearity tri-junction bi-SQUIDs. Our bi-SQUID SQIF array design is based on a tight integration of individual bi-SQUID cells sharing inductances with adjacent cells. We provide extensive computer simulations, analysis and experimental measurements, in which we explore the phase dynamics and linearity of the array voltage response. The non-uniformity in inductances of the bi-SQUIDs produces a pronounced zero-field single antipeak in the voltage response. The anti-peak linearity and size can be optimized by varying the critical current of the additional junction of each bi-SQUID. The layout implementation of the tight 2D array integration leads to a distinct geometrical diamond shape formed by the merged dual bi-SQUID cells. Different size 2D arrays are fabricated using standard HYPRES niobium 4.5 kA/cm 2 fabrication process. The measured linearity, power gain, and noise properties will be analyzed for different array sizes and the results will be compared with circuit simulations. We will discuss a design approach for the electrically small magnetic field antenna and low-noise amplifiers with high bandwidth based on these 2D bi-SQUID SQIF arrays. The results from this work will be used to design chips densely and completely covered in bi-SQUIDs that has optimized parameters such as linearity and power gain.

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Voltage response of non-uniform arrays of bi-superconductive quantum interference devices

Cited by 26 publications

References 64 publications

DC and RF Measurements of Serial Bi-SQUID Arrays

DC and RF Measurements of Serial Bi-SQUID Arrays

Analytical derivation of DC SQUID response

Development of 2-D Bi-SQUID Arrays With High Linearity

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