A study of the resistance-minimum in dilute AG-MN alloys, 1971

Item — Call Number: MU Thesis Cag

Identifier: b2087775

Staff Only

Scope and Contents

From the Collection:

The collection consists of theses written by students enrolled in the Monmouth College graduate Physics program. The holdings are bound print documents that were submitted in partial fulfillment of requirements for the Master of Science degree.

Dates

Creation: 1971

Creator

Caggiano, Anthony G. (Anthony George) (Author, Person)
Kijewski, Louis J. (Louis Joseph) (1936-2018) (Thesis advisor, Person)

Conditions Governing Access

The collection is open for research use. Access is by appointment only.

Access to the collection is confined to the Monmouth University Library and is subject to patron policies approved by the Monmouth University Library.

Collection holdings may not be borrowed through interlibrary loan.

Research appointments are scheduled by the Monmouth University Library Archives Collections Manager (723-923-4526). A minimum of three days advance notice is required to arrange a research appointment for access to the collection.

Patrons must complete a Researcher Registration Form and provide appropriate identification to gain access to the collection holdings. Copies of these documents will be kept on file at the Monmouth University Library.

Extent

1 Items (print book) : 61 pages ; 8.5 x 11.0 inches (28 cm).

Language of Materials

English

Additional Description

Abstract

An explanation of the resistance-minimum occurring in dilute magnetic alloys at extremely low temperature was put forth by J. Kondo in 1964. His analysis is based on the s-d exchange model of Zener, Kasuya and Yosida. In this paper we explain Zener's model, Kasuya's development of the s-d exchange interaction Hamiltonian and finally Kondo's analysis. The experimental data driven by Gerritsen and Linde on the low temperature electrical resistivity of dilute Ag-Mn alloys is then examined in light of Kondo's results. We conclude that the resistance-minimum observed in these alloys (at least over the range of Mn concentration considered) may be satisfactorily explained in terms of Kondo's theory untilizing a not unreaonable value for J, the s-d exhange integral. Futhermore the functional form of the experimental and theoretical curves are in fairly good agreement over a relatively broad temperature range (roughly 2-20° K). We note however in matching these curves at the minimum that the experimental curve rises more sharply than the theoretical curve in both directions away from the minimum. An explanation may lie in higher Born approximations to the conduction electron scattering probability from the localized spin systems.

Partial Contents

Introduction -- The s-d exchange model and Hamiltonian -- The resistance minimum in dilute magenetic alloys -- Application to Ag-Mn alloys -- Appendix A. Zener's analysis -- Appendix B. Second quantization of fermions -- Appendix C. Spin operator formalism -- Appendix D. Formal transport theory -- Bibliography.