Quantum phase transitions and vortex dynamics in superconducting networks

  title={Quantum phase transitions and vortex dynamics in superconducting networks},
  author={Rosario Fazio and Herre van der Zant},
  journal={Physics Reports},
Dissipation and quantum phase transitions of a pair of Josephson junctions
A model system consisting of a mesoscopic superconducting grain coupled by Josephson junctions to two macroscopic superconducting electrodes is studied. We focus on the effects of Ohmic dissipation
The phase diagram of quantum disordered superconducting networks
I review the low energy dynamics and the phase diagram of two parallel coupled Josephson junction arrays (JJA) in the presence of charge and magnetic frustration. Starting from the quantum phase
Universal power-law decay of electron-electron interactions due to nonlinear screening in a Josephson junction array
Josephson junctions are the most prominent nondissipative and at the same time nonlinear elements in superconducting circuits allowing Cooper pairs to tunnel coherently between two superconductors
Superconductor-Insulator Quantum Phase Transitions in a Dissipative Environment
Monte Carlo simulations are used to study superconductor-insulator quantum phase transitions in Josephson junction chains coupled to a dissipative environment. Starting from the quantum phase model
Circuit-QED-based measurement of vortex lattice order in a Josephson junction array
Superconductivity provides a canonical example of a quantum phase of matter. When superconducting islands are connected by Josephson junctions in a lattice, the low-temperature state of the system
Quantum phase transition with dissipative frustration
We study the quantum phase transition of the one-dimensional phase model in the presence of dissipative frustration, provided by an interaction of the system with the environment through two
Theory of quantum phase slips in disordered one-dimensional superconductors
In this thesis quantum phase slips in one-dimensional superconductors are studied. One-dimensional superconductors can be represented by two physical systems: a superconducting wire and a Josephson
Superconductor-insulator quantum phase transition
The current understanding of the superconductor–insulator transition is discussed level by level in a cyclic spiral-like manner. At the first level, physical phenomena and processes are discussed
Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires
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
Quantum dynamics of a single vortex
By measuring the statistics of the vortex escape from a controllable pinning potential, this work demonstrates the existence of quantized levels of the Vortex energy within the trapping potential well and quantum tunnelling of theortex through the pinning barrier.


Phase transition in a chain of quantum vortices
We consider interacting vortices in a quasi-one-dimensional array of Josephson junctions with small capacitance. If the charging energy of a junction is of the order of the Josephson energy, the
Quantum effects and the dissipation by quasiparticle tunneling in arrays of Josephson junctions.
  • Kampf, Schoen
  • Physics
    Physical review. B, Condensed matter
  • 1987
The influence of dissipative quasiparticle tunneling currents on quantum effects and phase transitions in d-dimensional arrays of Josephson junctions is investigated and a reentrant transition between a resistive and a superconducting state is found for weak dissipation.
Quantum phase transitions in superconducting arrays under external magnetic fields
We study the zero-temperature phase transitions of two-dimensional superconducting arrays with both the self- and the junction capacitances in the presence of external magnetic fields. We consider
We investigate the quantum phase transitions in two capacitively coupled chains of ultra-small Josephson-junctions, with emphasis on the external charge effects. The particle-hole symmetry of the
Effect of External Charges on the Quantum Superconductor-Insulator Transition in a Josephson-Junction Array
We study the influence of a uniform background of external charges on the dynamics of a vortex moving in a quantum (zero temperature) Josephson-junction array, in the limit in which the capacitance
Quantum fluctuations in chains of Josephson junctions
We study the effect of quantum fluctuations of the phase on the low-temperature behavior of two models of Josephson junction chains with Coulomb interactions taken into account. The first model,
Dissipation and quantum fluctuations in granular superconductivity.
  • Fisher
  • Physics
    Physical review. B, Condensed matter
  • 1987
The effects of dissipation and quantum fluctuations on the onset of superconductivity are discussed. A model for a granular superconductor is considered which consists of a d-dimensional array of
Response of Josephson-junction arrays near the quantum phase transition.
The superconductor-insulator transition of a two-dimensional Bose-Hubbard model is studied, considering as a specific example, an array of Josephson junctions, and an effective free-energy functional is derived from which the phase diagram is determined.
One-Dimensional Mott Insulator Formed by Quantum Vortices in Josephson Junction Arrays.
The lobelike shape of the Mott insulating phase of interacting bosons in a one-dimensional periodic potential has been determined experimentally for the first time.
Field-induced superconductor-to-insulator transitions in Josephson-junction arrays.
A crossover from superconducting behavior in low fields to insulating behavior for fields above a critical value of 0.1\char21{}0.2 flux quanta per unit cell is found.