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Two-Mirrors Model: Some Analytical Solutions for Generating the Constrained Coinsident-Site-Lattice and its Application to Bi2Sr2Ca1Cu2O8+δ Grain Boundaries

Published online by Cambridge University Press:  02 July 2020

V.V. Volkov  and
Yimei Zhu
V.V. Volkov
Affiliation:
Dept. of Applied Sciences, Brookhaven National Laboratory, Upton, NY11973
Yimei Zhu
Affiliation:
Dept. of Applied Sciences, Brookhaven National Laboratory, Upton, NY11973
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Extract

A knowledge of grain boundaries (GBs) and interfaces is essential in establishing the relationship between the structural details of the boundaries and the strength of superconducting coupling and critical current densities at the boundaries in textured Bi cuprates. As a step towards such understanding, we studied GB crystallography and lattice mismatch using the constrained Coincidence-Site-Lattice (cCSL) theory. We note that to characterize arbitrary GBs in a complex system such as Bi2212, it would be desirable to find some simple analytical solutions for the cCSL approach.

We report our new concept of a “two-mirrors” model (2M-model), which allow us, in principle, to find sufficient conditions to generate corresponding analytical solutions for CSL (or cCSL), when it is applied to crystals with cubic, hexagonal, or orthorhombic symmetry. The 2M-model is based on the fact that any boundary can be described by rotating one crystal relative to the other along a common axis.

Type
Microscopy of Semiconducting and Superconducting Materials
Information
Microscopy and Microanalysis , Volume 4 , Issue S2: Proceedings: Microscopy & Microanalysis '98, Microscopy Society of America 56th Annual Meeting, Microbeam Analysis Society 32nd Annual Meeting, Atlanta, Georgia July 12-16, 1998 , July 1998 , pp. 684 - 685
Copyright
Copyright © Microscopy Society of America

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References

This research was supported by the U.S. DOE, under the Contract No. DE-AC02-76CH0016.Google Scholar