### Abstract

We have measured the temperature dependence and magnetic field dependence of the zero-bias resistance ((Formula presented)) as well as the current-voltage (I-V) characteristics for several two-dimensional arrays of small aluminum Josephson junctions. (Formula presented)(T) decreases with decreasing temperature, which can be described in terms of two types of vortex motion: flux, flow, and vortex tunneling. At temperatures higher than the Kosterlitz-Thouless transition temperature (T>(Formula presented)) or at a bias current greater than the current corresponding to the onset of the nonlinear I-V characteristics (I>(Formula presented)), the effective damping resistance which characterizes flux-flow motion is found to be approximately equal to the junction normal-state resistance (Formula presented). At low temperatures and at small bias current, (Formula presented) is temperature independent and remains finite down to our minimum attainable temperature. This finite resistance is found to be dependent on the array size as well as the junction parameters.

Original language | English |
---|---|

Pages (from-to) | 9449-9457 |

Number of pages | 9 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 54 |

Issue number | 13 |

DOIs | |

Publication status | Published - Jan 1 1996 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*54*(13), 9449-9457. https://doi.org/10.1103/PhysRevB.54.9449

**Flux flow and vortex tunneling in two-dimensional arrays of small Josephson junctions.** / Chen, C.; Delsing, P.; Haviland, D.; Harada, Y.; Claeson, T.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 54, no. 13, pp. 9449-9457. https://doi.org/10.1103/PhysRevB.54.9449

}

TY - JOUR

T1 - Flux flow and vortex tunneling in two-dimensional arrays of small Josephson junctions

AU - Chen, C.

AU - Delsing, P.

AU - Haviland, D.

AU - Harada, Y.

AU - Claeson, T.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We have measured the temperature dependence and magnetic field dependence of the zero-bias resistance ((Formula presented)) as well as the current-voltage (I-V) characteristics for several two-dimensional arrays of small aluminum Josephson junctions. (Formula presented)(T) decreases with decreasing temperature, which can be described in terms of two types of vortex motion: flux, flow, and vortex tunneling. At temperatures higher than the Kosterlitz-Thouless transition temperature (T>(Formula presented)) or at a bias current greater than the current corresponding to the onset of the nonlinear I-V characteristics (I>(Formula presented)), the effective damping resistance which characterizes flux-flow motion is found to be approximately equal to the junction normal-state resistance (Formula presented). At low temperatures and at small bias current, (Formula presented) is temperature independent and remains finite down to our minimum attainable temperature. This finite resistance is found to be dependent on the array size as well as the junction parameters.

AB - We have measured the temperature dependence and magnetic field dependence of the zero-bias resistance ((Formula presented)) as well as the current-voltage (I-V) characteristics for several two-dimensional arrays of small aluminum Josephson junctions. (Formula presented)(T) decreases with decreasing temperature, which can be described in terms of two types of vortex motion: flux, flow, and vortex tunneling. At temperatures higher than the Kosterlitz-Thouless transition temperature (T>(Formula presented)) or at a bias current greater than the current corresponding to the onset of the nonlinear I-V characteristics (I>(Formula presented)), the effective damping resistance which characterizes flux-flow motion is found to be approximately equal to the junction normal-state resistance (Formula presented). At low temperatures and at small bias current, (Formula presented) is temperature independent and remains finite down to our minimum attainable temperature. This finite resistance is found to be dependent on the array size as well as the junction parameters.

UR - http://www.scopus.com/inward/record.url?scp=0001533869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001533869&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.54.9449

DO - 10.1103/PhysRevB.54.9449

M3 - Article

AN - SCOPUS:0001533869

VL - 54

SP - 9449

EP - 9457

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 13

ER -