Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures

Muhammad A. AL-Jalali

doi:doi:10.11648/j.ajpa.20140203.12

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Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures

Muhammad A. AL-Jalali

Published in American Journal of Physics and Applications (Volume 2, Issue 3)

Received: 17 April 2014 Accepted: 9 May 2014 Published: 20 May 2014

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Abstract

A New analysis of the electrical resistivity has been studied for Cu-Mn Kondo alloys, and it was found a solution like a logarithm power series between resistivity and temperature, which cover all ranges of maximum and minimum in the resistivity and all kinds of interactions at low temperatures. The s-d exchange integral Jsd acting the main role in Kondo effect Phenomenon, Jsd is negative or positive, according to a kind of interaction between conduction electron spins of the host normal metal and localized spins of the transition element. PACS: 75: 50, 75:10, 75: 40, 75: 30.

Published in	American Journal of Physics and Applications (Volume 2, Issue 3)
DOI	10.11648/j.ajpa.20140203.12
Page(s)	78-82
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Kondo Effect, Resistivity Maximum, Resistivity Minimum, s-d Interaction

References

[1]	W. Meissner, and G. Voigt,"Messungen mit Hilfe von flüssigem Helium XI Widerstand der reinen Metalle in tiefen Temperaturen" Ann. Phys. Volume 399, Issue 7, pages 761–797.(1930). DOI: 10.1002/andp.19303990702
[2]	S Jacobs. And R. W. Schmitt, " Low-Temperature Electrical and Magnetic Behavior of Dilute Alloys Mn in Cu and Co in Cu,"Phys. Rev.Volume113,Issue 2,Pages: 459-463, (1959). DOI:10.1103/PhysRev.113.459
[3]	P. Monod, "Magnetic Field Dependence of the Kondo Resistivity Minimum in CuFeand CuMu Alloys.”Phys. Rev. Lett. vol. 19, no. 19, pp. 1113-1117, (1967). DOI: http://dx.doi.org/10.1103/PhysRevLett.19.1113
[4]	W. B. Pearson, "Electron Transport in Copper and Dilute Alloys at Low Temperature. IV: Resistance Minimum: Temperature of Occurrence as a Function ofSolute Concentration. " Phil. Mag.vol. 46, no. 379, pp. 920-923, (1955). DOI:10.1080/14786440808561245
[5]	J. Kondo, "Resistance Minimum in Dilute Magnetic Alloys."Prog.Theor.Phys.3237-49,(1964). DOI:10.1143/PTP.32.37
[6]	J. Kondo,"s-d Scattering at Low Temperatures". Progress of Theoretical Physics Vol. 34, No. 2, pp. 204-209, (1965). DOI : 10.1143/PTP.34.204
[7]	J. Kondo, "Giant Thermo-Electric Power of Dilute Magnetic Alloys." Progress of Theoretical Physics Vol. 34, No. 3,pp. 372-382, (1965). DOI : 10.1143/PTP.34.372
[8]	J. Kondo,"Anomalous Density of States in Dilute Magnetic Alloys." Progress of Theoretical Physics Vol. 33, No. 4,pp. 575-584, (1965). DOI : 10.1143/PTP.33.575
[9]	J. Kondo, "Review Resistance minimum and heavy fermions."Proc.JpnAcad Ser. BVol.82, p328,(2006). http://dx.doi.org/10.2183/pjab.82.328
[10]	A.D. Brailsford, and A. W. Overhauser, "Theory of the Resistance Minimum in Dilute Paramagnetic Alloys."Phys. Rev. Lett. 3, 331–332, (1959). DOI:10.1103/PhysRevLett.3.331
[11]	P.W Anderson. "Localized Magnetic States in Metals."Phys. Rev.124,41,(1961). DOI: http://dx.doi.org/10.1103/PhysRev.124.41
[12]	B.R. Coles,"Low-temperature resistivity behaviour of molybdenum-iron, niobium-iron and palladium-iron alloys." Philosophical Magazine Vol. 8, issue 86, pp. 335-337, (1963). DOI: 10.1080/14786436308211131
[13]	B.R. Coles,B.V.B. Sarkissian, and R.H. Taylor,"The role of finite magnetic clusters in Au-Fe alloys near the percolation concentration."Philosophical Magazine Part B Vol. 37, issue 4, pp. 489-498,(1978). DOI: 10.1080/01418637808225792
[14]	C. Rizzuto,"Formation of localized moments in metals: experimental bulk properties."Rep. Prog. Phys. 37, 147, (1974). DOI:10.1088/0034-4885/37/2/001
[15]	J. Friedel,"On some electrical and magnetic properties of metallic solid solutions."Can. J. Phys. 34(12A): 1190-1211,(1956). DOI:10.1139/p56-134
[16]	P.W. Anderson,”Localized Magnetic States in Metals."Phys. Rev. 124, 41, (1961). DOI: http://dx.doi.org/10.1103/PhysRev.124.41
[17]	Blandin, and J. Friedel,"Propriétés magnétiques des alliages dilués. Interactions magnétiques et antiferromagnétisme dans les alliages du type métal noble-métal de transition."J. Phys. Radium 20, 160-68,(1959). DOI: 10.1051/jphysrad:01959002002-3016000
[18]	J. Ruvalds,"Resistance Minima in Magnetic Alloys."NATO Advanced Study Institutes Series Volume 81, pp 259-287, (1983). DOI:10.1007/978-1-4613-3497-2_7
[19]	J.Souletie, "Relation Between the Anomalous Resistivity and the Susceptibility for Dilute Magnetic Alloys."Journal of Low Temperature Physics Vol. 7, No. 1/2, (1972). DOI: 10.1007/BF00629125
[20]	L. MKovner, "Theory of the Kondo effect at low temperatures."Zh. Eksp. Teor. Fiz. 65, 307-318,(1973). http://www.jetp.ac.ru/cgi-bin/dn/e_038_01_0151.pdf
[21]	Yosuke. Nagaoka, "Self-consistent Treatment of Kondo's Effect in Dilute Alloys."Phys. Rev. B, 138, A1112–A1120,(1965). DOI:10.1103/PhysRev.138.A1112
[22]	M. A. Ruderman, and C. Kittel, "Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons. "phys. Rev.96, 99, (1954). DOI:10.1103/PhysRev.96.99; T. Kasuya,"A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model."Prog.Theor.Phys.16,45-57,(1956). http://ptp.oxfordjournals.org/content/16/1/45; K. Yosida, "Anomalous Electrical Resistivity and Magnetoresistance Due to an s-d Interaction in Cu-Mn Alloys."Phys.Rev.107,396,(1957). DOI:10.1103/PhysRev.106.893. http://dx.doi.org/10.1103/PhysRev.107.396
[23]	D. R. Hamann, "New Solution for Exchange Scattering in Dilute Alloys."Phys. Rev. B, 158, 570-580,(1967). DOI: 10.1103/PhysRev.158.570
[24]	Zhu Bang- jieand Yao Kai-lun. "An application of new transport equation to low temperature resistivity of dilute alloys."Commun. in theor. Phys.(Beijing, China) vol.5,No.4,p.291, (1986). ISSN: 0253-6102CN: 11-2592/O3
[25]	M. Zarea, S. E. Ulloa, and N.Sandler,"Enhancement of the Kondo effect through Rashba spin-orbit interactions."Phys. Rev. Lett.108, 046601,(2012). PMID: 22400870
[26]	L.Isaev, D. F. Agterberg, and I. Vekhter, “Kondo effect in the presence of spin-orbit coupling.",Phys. Rev. B85, 081107,(2012). DOI:10.1103/PhysRevB.85.081107
[27]	Alexander Cyril Hewson,"The Kondo Problem to Heavy Fermions." (Cambridge University Press, Cambridge, UK. (1993). http://dx.doi.org/10.1017/CBO9780511470752
[28]	T. Yanagisawa,"Kondo Effect in the Presence of Spin-Orbit Coupling."J.Phys.Soc.Jpn.81, 094713, (2012). DOI:10.1143/JPSJ.81.094713
[29]	Matteo Bazzanella and Johan Nilsson,"Ferromagnetism in the one-dimensional Kondo lattice: Mean-field approach via Majorana fermion canonical transformation." Phys. Rev. B 89, 035121,(2014). http://dx.doi.org/10.1103/PhysRevB.89.035121
[30]	Jie Wang andDimitrie Culcer."Suppression of the Kondo Resistivity Minimum in Magnetic Topological Insulators." Phys.Rev.B88,125140,(2013). DOI: 10.1103/PhysRevB.88.125140
[31]	M.A.AL-Jalal"Phenomenological analysis of the s-d exchange interaction in dilute Cu-Mn alloy at helium temperature."Adv.Mat.Lett.,5(1),(2014). DOI: 10.5185/amlett.2013.5486
[32]	M. Ramanzani, H.Sauer,A M Holz,.R. Birringer, and H. Gleiter,"On the Kon-do-effect in dilute alloys of iron and nanoscaled copper."Zeitschrift für Physik B Condensed Matter Volume 100, Issue 1, pp 39-45, (1996). DOI: 10.1007/s002570050091
[33]	F. W. Smith "Strength of the Ruder-man-Kittel-Kasuya-Yosida interaction in dilute AgMn alloys.”Phys. Rev.B, 13, 2976, (1976). DOI: http://dx.doi.org/10.1103/PhysRevB.13.2976
[34]	D. A. Smith,"The zero-frequency susceptibility of spin glasses and mictomagnets." J. Phys. F: Metal Phys. 5, 2148,(1975). DOI: 10.1088/0305-4608/5/11/027
[35]	A. Kaucha andK. Byczuk, "Variational local moment approach: From Kondo effect to Mott transition in correlated elec-tron."Physica B: Condensed Matter. Volume 407, Issue 2, Pages209–217,(2012). http://dx.doi.org/10.1016/j.physb.2011.10.030
[36]	K. H. Fischer,"Kondo effect in spin glasses: Electrical resis-tivity."Zeitschriftfür Physik B Condensed Matter 42(1):27-38, (1981). DOI:10.1007/BF01298289
[37]	Y. C. Tsayand L. Shen," The electrical resistivity of dilute magnetic alloys: Kondo effect vs spin glass behavior."J. Applied Physics; 49, 1625-1626. (1978). DOI:10.1063/1.32492.

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Muhammad A. AL-Jalali. (2014). Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures. American Journal of Physics and Applications, 2(3), 78-82. https://doi.org/10.11648/j.ajpa.20140203.12

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ACS Style

Muhammad A. AL-Jalali. Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures. Am. J. Phys. Appl. 2014, 2(3), 78-82. doi: 10.11648/j.ajpa.20140203.12

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AMA Style

Muhammad A. AL-Jalali. Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures. Am J Phys Appl. 2014;2(3):78-82. doi: 10.11648/j.ajpa.20140203.12

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@article{10.11648/j.ajpa.20140203.12,
  author = {Muhammad A. AL-Jalali},
  title = {Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures},
  journal = {American Journal of Physics and Applications},
  volume = {2},
  number = {3},
  pages = {78-82},
  doi = {10.11648/j.ajpa.20140203.12},
  url = {https://doi.org/10.11648/j.ajpa.20140203.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20140203.12},
  abstract = {A New analysis of the electrical resistivity has been studied for Cu-Mn Kondo alloys, and it was found a solution like a logarithm power series between resistivity and temperature, which cover all ranges of maximum and minimum in the resistivity and all kinds of interactions at low temperatures. The s-d exchange integral Jsd acting the main role in Kondo effect Phenomenon, Jsd is negative or positive, according to a kind of interaction between conduction electron spins of the host normal metal and localized spins of the transition element. PACS: 75: 50, 75:10, 75: 40, 75: 30.},
 year = {2014}
}

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TY  - JOUR
T1  - Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures
AU  - Muhammad A. AL-Jalali
Y1  - 2014/05/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajpa.20140203.12
DO  - 10.11648/j.ajpa.20140203.12
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 78
EP  - 82
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20140203.12
AB  - A New analysis of the electrical resistivity has been studied for Cu-Mn Kondo alloys, and it was found a solution like a logarithm power series between resistivity and temperature, which cover all ranges of maximum and minimum in the resistivity and all kinds of interactions at low temperatures. The s-d exchange integral Jsd acting the main role in Kondo effect Phenomenon, Jsd is negative or positive, according to a kind of interaction between conduction electron spins of the host normal metal and localized spins of the transition element. PACS: 75: 50, 75:10, 75: 40, 75: 30.
VL  - 2
IS  - 3
ER  -

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Muhammad A. AL-Jalali

Physics Department, Faculty of Science, Taif University, 21974 Taif, P. O. Box 888, kingdom of Saudi Arabia

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Muhammad A. AL-Jalali. (2014). Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures. American Journal of Physics and Applications, 2(3), 78-82. https://doi.org/10.11648/j.ajpa.20140203.12

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ACS Style

Muhammad A. AL-Jalali. Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures. Am. J. Phys. Appl. 2014, 2(3), 78-82. doi: 10.11648/j.ajpa.20140203.12

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AMA Style

Muhammad A. AL-Jalali. Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures. Am J Phys Appl. 2014;2(3):78-82. doi: 10.11648/j.ajpa.20140203.12

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@article{10.11648/j.ajpa.20140203.12,
  author = {Muhammad A. AL-Jalali},
  title = {Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures},
  journal = {American Journal of Physics and Applications},
  volume = {2},
  number = {3},
  pages = {78-82},
  doi = {10.11648/j.ajpa.20140203.12},
  url = {https://doi.org/10.11648/j.ajpa.20140203.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20140203.12},
  abstract = {A New analysis of the electrical resistivity has been studied for Cu-Mn Kondo alloys, and it was found a solution like a logarithm power series between resistivity and temperature, which cover all ranges of maximum and minimum in the resistivity and all kinds of interactions at low temperatures. The s-d exchange integral Jsd acting the main role in Kondo effect Phenomenon, Jsd is negative or positive, according to a kind of interaction between conduction electron spins of the host normal metal and localized spins of the transition element. PACS: 75: 50, 75:10, 75: 40, 75: 30.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Phenomenon of Maximum and Minimum in the Resistivity of Cu-Mn Kondo Alloys at Low Temperatures
AU  - Muhammad A. AL-Jalali
Y1  - 2014/05/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajpa.20140203.12
DO  - 10.11648/j.ajpa.20140203.12
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 78
EP  - 82
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20140203.12
AB  - A New analysis of the electrical resistivity has been studied for Cu-Mn Kondo alloys, and it was found a solution like a logarithm power series between resistivity and temperature, which cover all ranges of maximum and minimum in the resistivity and all kinds of interactions at low temperatures. The s-d exchange integral Jsd acting the main role in Kondo effect Phenomenon, Jsd is negative or positive, according to a kind of interaction between conduction electron spins of the host normal metal and localized spins of the transition element. PACS: 75: 50, 75:10, 75: 40, 75: 30.
VL  - 2
IS  - 3
ER  -

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