Phase sticking in one-dimensional Josephson junction chains

Ergül, Adem; Schaeffer, David G.; Lindblom, Magnus; Haviland, David B.; Lidmar, Jack; Johansson, J.

doi:10.1103/physrevb.88.104501

Cited by 17 publications

(21 citation statements)

References 30 publications

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“…Furthermore, in the case of strong charge disorder, depinning effects are the dominant mechanism for the onset of transport above the threshold voltage 4 . In the conducting regime, where the Josephson energy dominates over the charging energy, the current-voltage curve shows a supercurrent-like behavior at low bias voltages and a constant current at higher voltages 5,6 . Another interesting effect is the persistent current that arises if a closed chain is pierced by a magnetic flux [7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

Superconductor-insulator transition in disordered Josephson-junction chains

et al. 2017

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We study the superconductor-insulator quantum phase transition in disordered Josephson junction chains. To this end, we derive the field theory from the lattice model that describes a chain of superconducting islands with a capacitive coupling to the ground (C0) as well as between the islands (C1). We analyze the theory in the short-range (C1 C0) and in the long-range (C1 C0) limits. The transition to the insulating state is driven by the proliferation of quantum phase slips. The most important source of disorder originates from trapped charges in the substrate that suppress the coherence of phase slips, thus favoring superconducting correlations. Using the renormalizationgroup approach, we determine the phase diagram and evaluate the temperature dependence of the dc conductivity and system-size dependence of the resistance around the superconductor-insulator transition. These dependences have in general strongly non-monotonic character, with several distinct regimes reflecting an intricate interplay of superconductivity and disorder.

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Section: Introductionmentioning

confidence: 99%

Superconductor-insulator transition in disordered Josephson-junction chains

et al. 2017

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“…The series array can emulate an ideal superconducting nanowire when the array is long enough and uniform enough to hide its discrete nature, so that the probability per junction of QPS is relatively small and independent of position in the array. Classical simulations of phase slips in long arrays show that it is also necessary that the junction phase dynamics be overdamped in order for TAPS to occur uniformly along the array [16]. Underdamped dynamics results in persistent phase slips at random nucleation sites, as opposed to random TAPS occurring with equal probability along the array.…”

Section: Introductionmentioning

confidence: 99%

Localizing quantum phase slips in one-dimensional Josephson junction chains

et al. 2013

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We studied quantum phase-slip (QPS) phenomena in long onedimensional Josephson junction series arrays with tunable Josephson coupling. These chains were fabricated with as many as 2888 junctions, where one sample had a separately tunable link in the middle of the chain. Measurements were made of the zero-bias resistance, R 0 , as well as current-voltage characteristics (IVC). The finite R 0 is explained by QPS and shows an exponential dependence on √ E J /E C with a distinct change in the exponent at R 0 = R Q = h/4e 2 . When R 0 > R Q , the IVC clearly shows a remnant of the Coulomb blockade, which evolves to a zero-current state with a sharp critical voltage as E J is tuned to a smaller value. The zero-current state below the critical voltage is due to coherent QPSs and we show that these are enhanced when the central link is weaker than all other links. Above the critical voltage, a negative, differential resistance is observed, which nearly restores the zero-current state.

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“…An effective speed of light depending on space and/or time can be generated in several 1 + 1 D superconducting circuit setups. In this work we consider a dc-SQUID array embedded in an open transmission line [12,[19][20][21]. The speed of propagation along the transmission line is given by…”

Section: Effective Speed Of Lightmentioning

confidence: 99%

One-dimensional sections of exotic spacetimes with superconducting circuits

Sabín

2018

New J. Phys.

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We introduce analogue quantum simulations of 1 + 1 dimensional sections of exotic 3 + 1 dimensional spacetimes, such as Alcubierre warp-drive spacetime, Gödel rotating universe and Kerr highly-rotating black hole metric. Suitable magnetic flux profiles along a SQUID array embedded in a superconducting transmission line allow to generate an effective spatiotemporal dependence in the speed of light, which is able to mimic the corresponding light propagation in a dimensionally-reduced exotic spacetime. In each case, we discuss the technical constraints and the links with possible chronology protection mechanisms and we find the optimal region of parameters for the experimental implementation.

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Phase sticking in one-dimensional Josephson junction chains

Cited by 17 publications

References 30 publications

Superconductor-insulator transition in disordered Josephson-junction chains

Superconductor-insulator transition in disordered Josephson-junction chains

Localizing quantum phase slips in one-dimensional Josephson junction chains

One-dimensional sections of exotic spacetimes with superconducting circuits

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