Current transport along grain boundaries in d-wave superconductors

M. Carmody; L. D. Marks; K. L. Merkle

doi:10.1016/S0921-4534(01)00946-7

Current transport along grain boundaries in d-wave superconductors

M. Carmody^*, L. D. Marks, K. L. Merkle

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The use of a classic phase retrieval algorithm has been previously used to determine the local critical current J_c(x) along the length of grain boundary Josephson junctions that can be characterized using a standard s-wave model. The phase retrieval approach has been modified for use with d-wave dominated superconductors to allow for negative local currents along the boundary. In general solutions to the 1-D phase problem are not unique, however in the present work special constraints are employed experimentally to ensure uniqueness. The various current distribution solutions and their possible uniqueness are explored. The solutions are consistent with most existing d-wave Josephson junction boundary models and can be used to understand the basic current distribution along 45° YaBa₂Cu₃O_7-x grain boundary junctions as well as providing a means for mapping the location of self-generated flux cores.

Original language	English (US)
Pages (from-to)	228-238
Number of pages	11
Journal	Physica C: Superconductivity and its applications
Volume	370
Issue number	4
DOIs	https://doi.org/10.1016/S0921-4534(01)00946-7
State	Published - May 2002

Keywords

Grain boundry superconductor
Josephson junction
Phase retrieval
YBCO

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1016/S0921-4534(01)00946-7

Cite this

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title = "Current transport along grain boundaries in d-wave superconductors",

abstract = "The use of a classic phase retrieval algorithm has been previously used to determine the local critical current Jc(x) along the length of grain boundary Josephson junctions that can be characterized using a standard s-wave model. The phase retrieval approach has been modified for use with d-wave dominated superconductors to allow for negative local currents along the boundary. In general solutions to the 1-D phase problem are not unique, however in the present work special constraints are employed experimentally to ensure uniqueness. The various current distribution solutions and their possible uniqueness are explored. The solutions are consistent with most existing d-wave Josephson junction boundary models and can be used to understand the basic current distribution along 45° YaBa2Cu3O7-x grain boundary junctions as well as providing a means for mapping the location of self-generated flux cores.",

keywords = "Grain boundry superconductor, Josephson junction, Phase retrieval, YBCO",

author = "M. Carmody and Marks, {L. D.} and Merkle, {K. L.}",

note = "Funding Information: This work was supported by the National Science and Foundation Office of Science and Technology Centers, under contract no. DMR 91-20000 (MC and LDM) and the United States Department of Energy, Basic Energy Sciences-Materials Science, under contract no. W-31-109-ENG-38 (KLM) and National Science Foundation grant no. DMR-9214505. ",

year = "2002",

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doi = "10.1016/S0921-4534(01)00946-7",

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AU - Carmody, M.

AU - Marks, L. D.

AU - Merkle, K. L.

N1 - Funding Information: This work was supported by the National Science and Foundation Office of Science and Technology Centers, under contract no. DMR 91-20000 (MC and LDM) and the United States Department of Energy, Basic Energy Sciences-Materials Science, under contract no. W-31-109-ENG-38 (KLM) and National Science Foundation grant no. DMR-9214505.

PY - 2002/5

Y1 - 2002/5

N2 - The use of a classic phase retrieval algorithm has been previously used to determine the local critical current Jc(x) along the length of grain boundary Josephson junctions that can be characterized using a standard s-wave model. The phase retrieval approach has been modified for use with d-wave dominated superconductors to allow for negative local currents along the boundary. In general solutions to the 1-D phase problem are not unique, however in the present work special constraints are employed experimentally to ensure uniqueness. The various current distribution solutions and their possible uniqueness are explored. The solutions are consistent with most existing d-wave Josephson junction boundary models and can be used to understand the basic current distribution along 45° YaBa2Cu3O7-x grain boundary junctions as well as providing a means for mapping the location of self-generated flux cores.

AB - The use of a classic phase retrieval algorithm has been previously used to determine the local critical current Jc(x) along the length of grain boundary Josephson junctions that can be characterized using a standard s-wave model. The phase retrieval approach has been modified for use with d-wave dominated superconductors to allow for negative local currents along the boundary. In general solutions to the 1-D phase problem are not unique, however in the present work special constraints are employed experimentally to ensure uniqueness. The various current distribution solutions and their possible uniqueness are explored. The solutions are consistent with most existing d-wave Josephson junction boundary models and can be used to understand the basic current distribution along 45° YaBa2Cu3O7-x grain boundary junctions as well as providing a means for mapping the location of self-generated flux cores.

KW - Grain boundry superconductor

KW - Josephson junction

KW - Phase retrieval

KW - YBCO

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IS - 4

ER -

Current transport along grain boundaries in d-wave superconductors

Abstract

Keywords

ASJC Scopus subject areas

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