### Abstract

For the superconductor YBa_{2}Cu_{3}O_{7-δ}, the magnetic field probability distributions measured by μSR have been found to be reasonably represented by those produced by a more or less regular vortex lattice. For Bi_{2}Sr_{2}Ca_{1}Cu_{2}O_{8-δ} (BSCCO) the field probability distributions are not, except at quite low fields, such as 100 G. Further, it is known that the copper plane to copper plane coupling in BSCCO is quite weak. This has led Clem to posit pancake vortices, vortices referred to only one plane, as the building blocks of vortex lattices in this material. He has provided a solution for the magnetic field arising from one such vortex and shown that a regular lattice built from such pancakes produces the field distributions expected for the usual London solution vortices. The stacks of pancake vortices would be easily longitudinally disordered as a consequence of the very weak inter-layer coupling. In order to model μSR data on BSCCO a means to calculate fields from disordered stacks of pancake vortices has been developed. The vortices in a given plane were assumed to form a regular lattice of the appropriate inter-vortex spacing, then a three dimensional system of such layers was built up. Each subsequent layer of pancake vortices was allowed to be randomly displaced from the layer its predecessor. Thus in proceeding along a given stack, the pancakes lose registry with those below in a random walk. This cuts off the range of pancakes which are well ordered and leads to the high-field cutoff being reduced and the overall magnetic field distribution becoming more symmetric in agreement with the data. Results of this modeling are presented and compared to high-field data on BSCCO.

Original language | English (US) |
---|---|

Pages (from-to) | 300-304 |

Number of pages | 5 |

Journal | Physica B: Condensed Matter |

Volume | 326 |

Issue number | 1-4 |

DOIs | |

State | Published - Jan 1 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- Disorder
- Pancake vortices
- Superconductivity

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Electrical and Electronic Engineering

### Cite this

*Physica B: Condensed Matter*,

*326*(1-4), 300-304. https://doi.org/10.1016/S0921-4526(02)01638-1

**Magnetic field distributions from longitudinally disordered pancake vortices.** / Kossler, W. J.; Fetsch, Christopher; Baranowski, K.

Research output: Contribution to journal › Article

*Physica B: Condensed Matter*, vol. 326, no. 1-4, pp. 300-304. https://doi.org/10.1016/S0921-4526(02)01638-1

}

TY - JOUR

T1 - Magnetic field distributions from longitudinally disordered pancake vortices

AU - Kossler, W. J.

AU - Fetsch, Christopher

AU - Baranowski, K.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - For the superconductor YBa2Cu3O7-δ, the magnetic field probability distributions measured by μSR have been found to be reasonably represented by those produced by a more or less regular vortex lattice. For Bi2Sr2Ca1Cu2O8-δ (BSCCO) the field probability distributions are not, except at quite low fields, such as 100 G. Further, it is known that the copper plane to copper plane coupling in BSCCO is quite weak. This has led Clem to posit pancake vortices, vortices referred to only one plane, as the building blocks of vortex lattices in this material. He has provided a solution for the magnetic field arising from one such vortex and shown that a regular lattice built from such pancakes produces the field distributions expected for the usual London solution vortices. The stacks of pancake vortices would be easily longitudinally disordered as a consequence of the very weak inter-layer coupling. In order to model μSR data on BSCCO a means to calculate fields from disordered stacks of pancake vortices has been developed. The vortices in a given plane were assumed to form a regular lattice of the appropriate inter-vortex spacing, then a three dimensional system of such layers was built up. Each subsequent layer of pancake vortices was allowed to be randomly displaced from the layer its predecessor. Thus in proceeding along a given stack, the pancakes lose registry with those below in a random walk. This cuts off the range of pancakes which are well ordered and leads to the high-field cutoff being reduced and the overall magnetic field distribution becoming more symmetric in agreement with the data. Results of this modeling are presented and compared to high-field data on BSCCO.

AB - For the superconductor YBa2Cu3O7-δ, the magnetic field probability distributions measured by μSR have been found to be reasonably represented by those produced by a more or less regular vortex lattice. For Bi2Sr2Ca1Cu2O8-δ (BSCCO) the field probability distributions are not, except at quite low fields, such as 100 G. Further, it is known that the copper plane to copper plane coupling in BSCCO is quite weak. This has led Clem to posit pancake vortices, vortices referred to only one plane, as the building blocks of vortex lattices in this material. He has provided a solution for the magnetic field arising from one such vortex and shown that a regular lattice built from such pancakes produces the field distributions expected for the usual London solution vortices. The stacks of pancake vortices would be easily longitudinally disordered as a consequence of the very weak inter-layer coupling. In order to model μSR data on BSCCO a means to calculate fields from disordered stacks of pancake vortices has been developed. The vortices in a given plane were assumed to form a regular lattice of the appropriate inter-vortex spacing, then a three dimensional system of such layers was built up. Each subsequent layer of pancake vortices was allowed to be randomly displaced from the layer its predecessor. Thus in proceeding along a given stack, the pancakes lose registry with those below in a random walk. This cuts off the range of pancakes which are well ordered and leads to the high-field cutoff being reduced and the overall magnetic field distribution becoming more symmetric in agreement with the data. Results of this modeling are presented and compared to high-field data on BSCCO.

KW - Disorder

KW - Pancake vortices

KW - Superconductivity

UR - http://www.scopus.com/inward/record.url?scp=0037303265&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037303265&partnerID=8YFLogxK

U2 - 10.1016/S0921-4526(02)01638-1

DO - 10.1016/S0921-4526(02)01638-1

M3 - Article

AN - SCOPUS:0037303265

VL - 326

SP - 300

EP - 304

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

SN - 0921-4526

IS - 1-4

ER -