The Two-Dimensional Physics of Josephson Junction Arrays

Newrock, R. S.; Lobb, C. J.; Geigenmüller, U.; Octavio, M.

doi:10.1016/s0081-1947(08)60250-7

Cited by 101 publications

(92 citation statements)

References 184 publications

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“…[38][39][40][41][42][43][44][45] In particular, we know that JJAs constitute a physical realization or the classical frustrated XY model, where frustration is similarly induced by the fluxes threaded through the 2D plaquettes.…”

Section: B Two-dimensional Circuit Crystalsmentioning

confidence: 99%

Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

et al. 2012

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We study different architectures for a photonic crystal in the microwave regime based on superconducting transmission lines interrupted by Josephson junctions, both in one and two dimensions. A study of the scattering properties of a single junction in the line shows that the junction behaves as a perfect mirror when the photon frequency matches the Josephson plasma frequency. We generalize our calculations to periodic arrangements of junctions, demonstrating that they can be used for tunable band engineering, forming what we call a quantum circuit crystal. Two applications are discussed in detail. In a two-dimensional structure we demonstrate the phenomenon of negative refraction. We finish by studying the creation of stationary entanglement between two superconducting qubits interacting through a disordered media.

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Section: B Two-dimensional Circuit Crystalsmentioning

confidence: 99%

Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

et al. 2012

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“…11,[37][38][39][40][41][42][43][44][45][46][47] Experimental studies of one and two dimensional arrays of large superconducting grains coupled by dissipative Josephson junctions, agree qualitatively with results of the theoretical analyses. 46,[48][49][50][51][52][53][54][55][56][57][58] The understanding developed from studying the destruction of superconductivity by quantum fluctuations in arrays of Josephson junctions has became a useful paradigm for more general considerations of quantum phase transitions in dissipative environments. In general, dissipation suppresses certain types of quantum fluctuations and thus can favor states with spontaneously broken symmetries, such as superconductivity.…”

Section: A Motivationmentioning

confidence: 99%

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

et al. 2007

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The interplay of quantum fluctuations and dissipation in chains of mesoscopic superconducting grains is analyzed and the results are applied to nanowires. It is shown that in one dimensional arrays of resistively shunted Josephson junctions, the superconducting-normal charge relaxation within the grains plays an important role. At zero temperature, two superconducting phases can exist, depending primarily on the strength of the dissipation. In the fully superconducting phase ͑FSC͒, each grain acts superconducting, and the coupling to the dissipative conduction is important. In the SC Ã phase, the dissipation is irrelevant at long wavelengths. The transition between these two phases is driven by quantum phase slip dipoles, and is primarily local, with continuously varying critical exponents. In contrast, the transition from the SC Ã phase to the normal metallic phase is a Kosterlitz-Thouless transition with global character ͑i.e., determined by the field behavior at large wavelengths͒. Most interesting is the transition from the FSC phase directly to the normal phase: this transition, which has mixed local and global characteristics, can be one of three distinct types. The corresponding segments of the phase boundary come together at bicritical points. The zero-temperature phase diagram, as well as the finite-temperature scaling behavior are inferred from both weak and strong coupling renormalization group analyses. At intermediate temperatures, near either superconductor-to-normal phase transition, there are regimes of super-metallic behavior, in which the resistivity first decreases gradually with decreasing temperature before eventually increasing as temperature is lowered further. The results on chains of Josephson junctions are extended to continuous superconducting nanowires and the subtle issue of whether these can exhibit an FSC phase is considered. Potential relevance to superconductor-metal transitions in other systems is also discussed.

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“…Newrock et al 2000, Araujo-Moreira et al 2002, Li 2003, Kirtley et al 1998, Altshuler and Johansen 2004 further references therein). In particular, among the numerous spectacular phenomena recently discussed and observed in JJAs we would like to mention the dynamic temperature reentrance of AC susceptibility (Araujo-Moreira et al 2002) closely related to paramagnetic Meissner effect (Li 2003) and avalanche-like magnetic field behavior of magnetization (Altshuler andJohansen 2004, Ishikaev et al 2000).…”

Section: Introductionmentioning

confidence: 99%

Dynamical reentrance and geometry imposed quantization effects in Nb–AlO_x–Nb Josephson junction arrays

Araújo‐Moreira¹,

Sergeenkov²

2008

Supercond. Sci. Technol.

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Abstract. In this review, we report on different phenomena related to the magnetic properties of artificially prepared highly ordered (periodic) two-dimensional Josephson junction arrays (2D-JJA) of both shunted and unshunted Nb-AlO x -Nb tunnel junctions. By employing mutual-inductance measurements and using a high-sensitive home-made bridge, we have thoroughly investigated (both experimentally and theoretically) the temperature and magnetic field dependence of complex AC susceptibility of 2D-JJA. After brief description of the measurements technique and numerical simulations method, we proceed to demonstrate that the observed dynamic reentrance (DR) phenomenon is directly linked to the value of the Stewart-McCumber parameter β C . By simultaneously varying the inductance related parameter β L , we obtain a phase diagram β C -β L (which demarcates the border between the reentrant and non-reentrant behavior) and show that only arrays with sufficiently large value of β C will exhibit the DR behavior. The second topic of this review is related to the step-like structure (with the number of steps n = 4 corresponding to the number of flux quanta that can be screened by the maximum critical current of the junctions) which has been observed in the temperature dependence of AC susceptibility in our unshunted 2D-JJA with β L (4.2K) = 30 and attributed to the geometric properties of the array. The steps are predicted to manifest themselves in arrays with β L (T) matching a "quantization" condition β L (0)=2π(n+1).In conclusion, we demonstrate the use of the scanning SQUID microscope for imaging the local flux distribution within our unshunted arrays.

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The Two-Dimensional Physics of Josephson Junction Arrays

Cited by 101 publications

References 184 publications

Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

Dynamical reentrance and geometry imposed quantization effects in Nb–AlO_x–Nb Josephson junction arrays

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The Two-Dimensional Physics of Josephson Junction Arrays

Cited by 101 publications

References 184 publications

Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

Dynamical reentrance and geometry imposed quantization effects in Nb–AlOx–Nb Josephson junction arrays

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Dynamical reentrance and geometry imposed quantization effects in Nb–AlO_x–Nb Josephson junction arrays