Magnetic properties of two-dimensional Josephson networks: Self-organized criticality in magnetic flux dynamics

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

“…More specifically, using highly sensitive SQUID magnetometer, magnetic field jumps in the magnetization curves associated with the entry and exit of avalanches of tens and hundreds of fluxons were clearly seen in SIStype arrays (Ishikaev et al 2000). Besides, it was shown that the probability distribution of these processes is in good agreement with the SOC theory (Ginzburg and Savitskaya 2001).…”

“…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). More specifically, using highly sensitive SQUID magnetometer, magnetic field jumps in the magnetization curves associated with the entry and exit of avalanches of tens and hundreds of fluxons were clearly seen in SIS-type arrays (Ishikaev et al 2000). Besides, it was shown that the probability distribution of these processes is in good agreement with the theory of selforganized criticality (Jensen 1998).…”

Manifestation of geometric effects in temperature behavior of ac magnetic response of Josephson junction arrays

“…[1,2,3,4] and 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 [2] (closely related to paramagnetic Meissner effect [3]) and avalanche-like magnetic field behavior of magnetization [4,5] (closely related to self-organized criticality (SOC) [6,7]). More specifically, using highly sensitive SQUID magnetometer, magnetic field jumps in the magnetization curves associated with the entry and exit of avalanches of tens and hundreds of fluxons were clearly seen in SIS-type arrays [5].…”

On the field-induced diaelastic effect in a small Josephson contact

“…In particular, a remarkable increase of the measurements technique resolution made it possible to experimentally detect such inter esting phenomena as flux avalanches [5], geometric quantization [6], flux driven oscillations of heat capacity [7], reentrant like behavior [8], manifesta tion of π contacts [9], R-C crossover [10], unusually strong coherent response [11], Josephson analog of the fishtail effect [12], geometric resonance and field induced Kosterlitz-Thouless transition [13]. Among the numerous theoretical predictions (still awaiting their experimental verification) one could mention electro and magnetostriction [14], field induced polarization effects [15], analog of magnetoelectric effect [16], nonlinear Seebeck effect and thermal con ductivity [17], stress induced effects [18], chemomag netism [19], magnetoinductance effects [20], implica tions of dipolar interactions for wireless connection between Josephson qubits [21] and for weakening of the Coulomb blockade [22], proximity induced superconductivity in graphene [23] and anomalous Josephson current in topological insulators [24].…”