Magnetic field distribution due to domain walls in unconventional superconductors

N. A. Logoboy

doi:10.1016/j.ssc.2007.11.023

Magnetic field distribution due to domain walls in unconventional superconductors

N. A. Logoboy

Hebrew University of Jerusalem

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

1 Scopus citations

Abstract

Steady-state properties of 18 0^{{ring operator}} Bloch domain walls (DWs) in superconducting ferromagnets (SCFMs) are studied. The distribution of the magnetic field above and below the surface of the SCFM due to the permanent magnetization supercurrent flowing in the DW plane is calculated by solving Maxwell equations supplemented by the London equation. It is shown that part of the magnetic flux of the two neighboring domains closes in the nearest vicinity of the surface of the sample, giving rise to a decline in the direction of the field from the parallel to the DW plane. As a result, the value of the normal component of the magnetic field at the surface of the sample reaches only half of the value of the bulk magnetic flux. At distances greater than the London penetration depth, the magnetic field decreases as an inverse power law due to the long-range character of the dipole-dipole interaction. The last two circumstances are important for comparing the calculated magnetic field with data obtained by using methods based on measuring the normal component of magnetic field, aiming to confirm the existence of the magnetic order parameter in unconventional superconductors.

Original language	English
Pages (from-to)	379-384
Number of pages	6
Journal	Solid State Communications
Volume	145
Issue number	7-8
DOIs	https://doi.org/10.1016/j.ssc.2007.11.023
State	Published - Feb 2008
Externally published	Yes

Bibliographical note

Funding Information:
Stimulating and inspiring discussions with professor E.B. Sonin are highly appreciated. The author acknowledges Dr K. Hasselbach for very valuable discussions. The author is also indebted to the referees for constructive criticism and proposals. This work has been supported by a grant from the Israel Academy of Sciences and Humanities.

Funding

Stimulating and inspiring discussions with professor E.B. Sonin are highly appreciated. The author acknowledges Dr K. Hasselbach for very valuable discussions. The author is also indebted to the referees for constructive criticism and proposals. This work has been supported by a grant from the Israel Academy of Sciences and Humanities.

Funders	Funder number
Israel Academy of Sciences and Humanities

Keywords

A. Magnetically ordered materials
A. Superconductors

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10.1016/j.ssc.2007.11.023

Cite this

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title = "Magnetic field distribution due to domain walls in unconventional superconductors",

abstract = "Steady-state properties of 18 0{ring operator} Bloch domain walls (DWs) in superconducting ferromagnets (SCFMs) are studied. The distribution of the magnetic field above and below the surface of the SCFM due to the permanent magnetization supercurrent flowing in the DW plane is calculated by solving Maxwell equations supplemented by the London equation. It is shown that part of the magnetic flux of the two neighboring domains closes in the nearest vicinity of the surface of the sample, giving rise to a decline in the direction of the field from the parallel to the DW plane. As a result, the value of the normal component of the magnetic field at the surface of the sample reaches only half of the value of the bulk magnetic flux. At distances greater than the London penetration depth, the magnetic field decreases as an inverse power law due to the long-range character of the dipole-dipole interaction. The last two circumstances are important for comparing the calculated magnetic field with data obtained by using methods based on measuring the normal component of magnetic field, aiming to confirm the existence of the magnetic order parameter in unconventional superconductors.",

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note = "Funding Information: Stimulating and inspiring discussions with professor E.B. Sonin are highly appreciated. The author acknowledges Dr K. Hasselbach for very valuable discussions. The author is also indebted to the referees for constructive criticism and proposals. This work has been supported by a grant from the Israel Academy of Sciences and Humanities.",

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N2 - Steady-state properties of 18 0{ring operator} Bloch domain walls (DWs) in superconducting ferromagnets (SCFMs) are studied. The distribution of the magnetic field above and below the surface of the SCFM due to the permanent magnetization supercurrent flowing in the DW plane is calculated by solving Maxwell equations supplemented by the London equation. It is shown that part of the magnetic flux of the two neighboring domains closes in the nearest vicinity of the surface of the sample, giving rise to a decline in the direction of the field from the parallel to the DW plane. As a result, the value of the normal component of the magnetic field at the surface of the sample reaches only half of the value of the bulk magnetic flux. At distances greater than the London penetration depth, the magnetic field decreases as an inverse power law due to the long-range character of the dipole-dipole interaction. The last two circumstances are important for comparing the calculated magnetic field with data obtained by using methods based on measuring the normal component of magnetic field, aiming to confirm the existence of the magnetic order parameter in unconventional superconductors.

AB - Steady-state properties of 18 0{ring operator} Bloch domain walls (DWs) in superconducting ferromagnets (SCFMs) are studied. The distribution of the magnetic field above and below the surface of the SCFM due to the permanent magnetization supercurrent flowing in the DW plane is calculated by solving Maxwell equations supplemented by the London equation. It is shown that part of the magnetic flux of the two neighboring domains closes in the nearest vicinity of the surface of the sample, giving rise to a decline in the direction of the field from the parallel to the DW plane. As a result, the value of the normal component of the magnetic field at the surface of the sample reaches only half of the value of the bulk magnetic flux. At distances greater than the London penetration depth, the magnetic field decreases as an inverse power law due to the long-range character of the dipole-dipole interaction. The last two circumstances are important for comparing the calculated magnetic field with data obtained by using methods based on measuring the normal component of magnetic field, aiming to confirm the existence of the magnetic order parameter in unconventional superconductors.

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KW - A. Superconductors

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Magnetic field distribution due to domain walls in unconventional superconductors

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Keywords

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