Charging effects and quantum crossover in granular superconductors.

  title={Charging effects and quantum crossover in granular superconductors.},
  author={Granato and Continentino},
  journal={Physical review. B, Condensed matter},
  volume={48 21},
The effects of the charging energy in the superconducting transition of granular materials or Josephson-junction arrays are investigated using a pseudo-spin-one model. Within a mean-field renormalization-group approach, we obtain the phase diagram as a function of temperature and charging energy. In contrast to earlier treatments, we find no sign of a reentrant transition in agreement with more recent studies. A crossover line is identified in the nonsuperconducting side of the phase diagram… 
Quantum Critical Phenomena in Ladders of Josephson Junctions in a Magnetic Field
A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations
Critical properties of two-dimensional Josephson-junction arrays with zero-point quantum fluctuations.
  • Rojas, José
  • Physics
    Physical review. B, Condensed matter
  • 1996
Results from an extensive analytic and numerical study of a two-dimensional model of a square array of ultrasmall Josephson junctions are presented, finding very good agreement between the WKB-RG and QMC results when compared to the experimental data.
Phase diagram of the Kondo necklace: a mean-field renormalization group approach
In this paper we investigate the magnetic properties of heavy fermions in the antiferromagnetic and dense Kondo phases in the framework of the Kondo necklace model. We use a mean-field
Phase transitions in the one‐dimensional frustrated quantum XY model and Josephson‐junction ladders
A one‐dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson junctions at half a flux quantum per plaquette.
Phenomenological renormalization group methods
Some renormalization group approaches have been proposed during the last few years which are close in spirit to the Nightingale phenomenological procedure. In essence, by exploiting the finite size
Reentrant quantum phase transitions in two capacitively coupled Josephson arrays in perpendicular magnetic fields
We have studied the phase diagram structure of two capacitively coupled Josephson junction arrays as a function of their charging energy ${E}_{c}$, Josephson coupling energy ${E}_{J}$, and a