Commensurate states in disordered networks

Itzler, M. A.; Behrooz, Ali; Wilks, C.; Bojko, Richard; Chaikin, P. M.

doi:10.1103/physrevb.42.8319

Cited by 39 publications

(29 citation statements)

References 37 publications

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“…ometry must be ruled out, since the effect is absent in ordered networks simultaneously prepared from the same film and measured under identical conditions. Earlier studies of wire networks with disordered, fractal, or quasicrystalline patterns, including those with wires intersecting with a range of angles, [11][12][13][14] did not report effects such as those we have observed. Although wire networks with the kind of positional disorder discussed here were not previously studied.…”

Section: ͓S0163-1829͑98͒00926-6͔contrasting

confidence: 73%

“…The T c oscillations decrease with increasing field in the disordered networks as expected. 11,14 All networks also show the expected quadratic background decrease of T c with field due to the finite wire width. The zero-temperature superconducting coherence length was determined to be 83 nm, based on this quadratic background.…”

Section: ͓S0163-1829͑98͒00926-6͔mentioning

confidence: 90%

“…10 Similar to Josephson junction arrays ͑JJA's͒, 11 they have been used as model systems to study frustration, 10 critical behavior, 12 effects of disorder or fractal geometry, [13][14][15][16] and vortex dynamics. 12,14,17 The magneticfield-dependent critical temperature of periodic networks T c (H) oscillates with maxima corresponding to rational values of the average number of flux quanta f ϭ/ 0 in each elementary loop. With the introduction of built-in areal disorder, e.g., by random displacement of wires or nodes, the T c ( f ) oscillations are damped out with increasing field in JJA's ͑Ref.…”

Section: ͓S0163-1829͑98͒00926-6͔mentioning

confidence: 99%

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Field-enhanced superconductivity in disordered wire networks

et al. 1998

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The superconducting transition was studied in Al wire networks with built-in positional disorder. Application of small transverse magnetic fields increased the mean-field critical temperature in the disordered networks but not in the ordered networks. The magnitude of this T c enhancement was independent of changes in bias current, probe separation, and measurement configuration, unlike the apparent T c shifts associated with nonequilibrium resistance anomalies previously observed in superconducting microstructures.

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Section: ͓S0163-1829͑98͒00926-6͔contrasting

confidence: 73%

Section: ͓S0163-1829͑98͒00926-6͔mentioning

confidence: 90%

Section: ͓S0163-1829͑98͒00926-6͔mentioning

confidence: 99%

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Field-enhanced superconductivity in disordered wire networks

et al. 1998

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“…In addition, the arrangements of fluxoids in the underlying network must fulfill the requirement of minimum energy. These two requirements give rise to correlated arrangements of fluxoids in periodic networks, the most famous one being the checkerboard arrangement of fluxoids in a regular square network 8,11,14,19 , manifested by secondary dips of the magneto-resistance at half integer values of…”

mentioning

confidence: 99%

“…A variety of superconducting networks have been studied, both theoretically and experimentally, aiming at revealing correlated behavior of fluxoids in such networks [1][2][3][4][5][6][7][8][9][10][11][12][13][14] . The foundation of these studies traces back to the fluxoid quantization work of Little and Parks [15][16][17] who demonstrated in magnetoresistance measurements the theoretical prediction of F.…”

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confidence: 99%

Uncorrelated behavior of fluxoids in superconducting double networks

et al. 2011

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Resistive transition of superconducting wire networks. Influence of pinning and fluctuations

Giroud¹,

Buisson²,

Wang³

et al. 1992

J Low Temp Phys

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We have studied the resistive transition of several 2-D superconducting wire networks of various coupling strengths, which we characterize in terms of the Kosterlitz-Thouless transition temperature and the ratio ~/a of the coherence length to the array period. In the extreme strong coupling limit where the mesh size is of the order of the zero-temperature coherence length, the superconducting behavior is well described by the mean-field properties of the superconducting wave function. Extending to 2-D array, the 1-D phase slippage model explains the dissipative regime observed above the Ginzburg-Landau depairing critical current. On the other hand, when the coupling is weak, phase fluctuations below the Ginzburg-Landau transition and vortex depinning dominate the resistive behavior. An activated dissipation is observed even below the depairing critical current. Results obtained in this regime for critical temperature, magnetoresistance or critical current versus temperature, and magnetic field are shown; their periodic oscillations are discussed in terms of depinning of vortices on the array. A simple periodic pinning potential for a vortex in a wire network is calculated, and compared with the case of pinning in Josephson junction arrays. We show that this model explains qualitatively the experimental results observed for small ~/a.

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Commensurate states in disordered networks

Cited by 39 publications

References 37 publications

Field-enhanced superconductivity in disordered wire networks

Field-enhanced superconductivity in disordered wire networks

Uncorrelated behavior of fluxoids in superconducting double networks

Resistive transition of superconducting wire networks. Influence of pinning and fluctuations

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