Length-Scale Dependence of the Superconductor-to-Insulator Quantum Phase Transition in One Dimension

Chow, Edmond; Delsing, Per; Haviland, David B.

doi:10.1103/physrevlett.81.204

Cited by 162 publications

(187 citation statements)

References 26 publications

Supporting

Mentioning

169

Contrasting

Order By: Relevance

“…19,35,36,[48][49][50][51][52] The possibility of introducing ohmic dissipation using shunt resistors has been demonstrated for a single quantum Josephson junction by Pentillä et al, 36 and Watanabe and Haviland, 19 and for arrays of Josephson junctions by Takahide et al 54 and Miyazaki et al 58 A potential realization of a chain of mesoscopic Josephson junctions with ohmic dissipation is shown in Fig. 13.…”

Section: A Chains Of Mesoscopic Josephson Junctionsmentioning

confidence: 99%

“…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%

See 1 more Smart Citation

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

et al. 2007

View full text Add to dashboard Cite

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.

show abstract

Section: A Chains Of Mesoscopic Josephson Junctionsmentioning

confidence: 99%

Section: A Motivationmentioning

confidence: 99%

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

et al. 2007

View full text Add to dashboard Cite

show abstract

“…The physics of arrays made of identical Josephson junctions has long attracted the interest of theorists and experimentalists alike, especially in the context of the superconductor-insulator transition controlled by the ratio of charging and Josephson energies [12,13]. More recently, renewed attention has been given to the physics of collective modes, whose frequency can be significantly lowered below the constituent Josephson junctions plasma frequency due to ground capacitances; in particular, the interplay between collective modes and quantum * g.catelani@fz-juelich.de phase slips in rings has been studied [14][15][16], as well as the localizing effect of disorder in the junction parameters [17].…”

Section: Introductionmentioning

confidence: 99%

Collective modes in the fluxonium qubit

Viola¹,

Catelani²

2015

Phys. Rev. B

View full text Add to dashboard Cite

Superconducting qubit designs vary in complexity from single-and few-junction systems, such as the transmon and flux qubits, to the many-junction fluxonium. Here, we consider the question of whether the many degrees of freedom in the fluxonium circuit can limit the qubit coherence time. Such a limitation is in principle possible, due to the interactions between the low-energy, highly anharmonic qubit mode and the higher-energy, weakly anharmonic collective modes. We show that so long as the coupling of the collective modes with the external electromagnetic environment is sufficiently weaker than the qubit-environment coupling, the qubit dephasing induced by the collective modes does not significantly contribute to decoherence. Therefore, the increased complexity of the fluxonium qubit does not constitute by itself a major obstacle for its use in quantum computation architectures.

show abstract

“…As important is the possibility of investigating the behavior of disordered superconductors in a controlled fashion using Josephson junction arrays, as in Refs. [10,11,12]. In low dimensional quantum systems, where symmetry broken phases are very fragile, we expect the most dramatic manifestations of the interplay of disorder and interactions.…”

mentioning

confidence: 99%

Excitations of One-Dimensional Bose-Einstein Condensates in a Random Potential

2008

View full text Add to dashboard Cite

We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed under such conditions are localized, with the localization length diverging at low frequency as (ω) ∼ 1/ω α . We show that the well known result α = 2 applies only for sufficiently weak random potential. As the random potential is increased beyond a certain strength, α starts decreasing. At a critical strength of the potential, when the system of bosons is at the transition from a superfluid to an insulator, α = 1. This result is relevant for understanding the behavior of the atomic Bose-Einstein condensates in the presence of random potential, and of the disordered Josephson junction arrays. One of the most challenging problems of quantum many body physics is the behavior of stongly interacting matter in a disordered environment. In this paper we investigate the universal properties of superfluids in such systems, near the superfluid insulator transition. Interest in this problem arises in many independent contexts, in work on granular superconducting films and wires [1, 2,3], Helium condensates in vycor [4], and recent experiments on Bose condensates in optical traps. In particular, issues such as the expansion of a noninteracting Bose condensate through a random potential [5], excitations in an interacting Bose Einstein condensate in a random potential [6,7], and the possibility of the observation of the Bose glass phase [8,9] were explored in very recent theoretical and experimental papers. As important is the possibility of investigating the behavior of disordered superconductors in a controlled fashion using Josephson junction arrays, as in Refs. [10,11,12]. In low dimensional quantum systems, where symmetry broken phases are very fragile, we expect the most dramatic manifestations of the interplay of disorder and interactions. The existence of the Bose-glass phase was established in Refs. [13,14], where the scaling and renormalization group (RG) picture of the 1d superfluid-insulator transition at weak disorder was also established. Recently, much theoretical progress was afforded through real-space RG approaches in the case of dissipative [15] and closed [16,17] bosonic chains, where the properties of the SF-insulator transition at strong disorder were established.In this paper, we study the excitations of the superfluid phase in a bosonic chain with a strongly random potential and interactions, near the SF-insulator transition. Capitalizing on the real-space RG understanding of this transition [16,17], we analyze the localization length of phonons (i.e., Bogoliubov quasiparticles) as a function of their frequency and wave number. Deep in the superfluid phase, when the random potential is weak, the phonon localization length (ω) at small ω diverges as [6,18,19]

show abstract

Length-Scale Dependence of the Superconductor-to-Insulator Quantum Phase Transition in One Dimension

Cited by 162 publications

References 26 publications

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

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

Collective modes in the fluxonium qubit

Excitations of One-Dimensional Bose-Einstein Condensates in a Random Potential

Contact Info

Product

Resources

About