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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/41346
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dc.contributor.advisor梁啟德
dc.contributor.authorMao-Rong Yehen
dc.contributor.author葉茂榮zh_TW
dc.date.accessioned2021-06-15T00:16:20Z-
dc.date.available2009-06-09
dc.date.copyright2009-06-09
dc.date.issued2009
dc.date.submitted2009-06-05
dc.identifier.citationChapter 1
[1] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 2, Academic Press, 1995.
[2] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 1, Cambridge University Press, 1999.
[3] C. Kittle, in “Introduction to Solid State Physics 8/e”, Chap. 10, John Wiley & Sons, Inc., 1976.
[4] Webpage “HyperPhysics”-“Type I superconductor”, C. R. Nave, Georgia State University, 2005,
http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scond.html#c4
[5] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 1, Academic Press, 1995.
[6] Webpage “HyperPhysics”-“The Discover of Superconductivity”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scdis.html#c1
[7] Webpage “HyperPhysics”-“Superconductivity”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scond.html#c1
[8] Webpage “HyperPhysics”-“The Meissner Effect”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/solids/meis.html#c1
[9] Webpage “HyperPhysics”-“Critical Magnetic Field”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scbc.html#c1
[10] Webpage “HyperPhysics”-“Phase Diagram Examples”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scbc.html#c1
[11] Webpage “HyperPhysics”-“Critical Magnetic Field and Critical Current”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scbc2.html#c1
[12] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 4, Academic Press, 1995.
[13] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 7, Cambridge University Press, 1999.

Chapter 2
[1] V. L. Ginzburg and L. D. Landau, Zh. Eksp. i Teor. Fiz. 20, 1064 (1950).
[2] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 5, Academic Press, 1995.
[3] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 9, Cambridge University Press, 1999.
[4] C. Kittle, in “Introduction to Solid State Physics 8/e”, Chap. 10, John Wiley & Sons, Inc., 1976.
[5] J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957)
[6] J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 106, 162 (1957)
[7] L. N. Cooper, Phys. Rev. 104, 1189 (1956)
[8] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 6, Academic Press, 1995.
[9] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 7, Cambridge University Press, 1999.
[10] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 2, Cambridge University Press, 1999.
[11] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 25, Cambridge University Press, 1999.
[12] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 26, Cambridge University Press, 1999.
[13] Webpage “HyperPhysics”-“Cooper Pairs”, C. R. Nave, Georgia State University, 2005, http://hyperphysics.phy-astr.gsu.edu/hbase/HFrame.html
[14] Webpage “HyperPhysics”-“A model of Cooper pair attraction”, C. R. Nave, Georgia State University, 2005,
http://hyperphysics.phy-astr.gsu.edu/hbase/HFrame.html

Chapter 3
[1] V. L. Ginzburg and L. D. Landau, Zh. Eksp. i Teor. Fiz. 20, 1064 (1950).
[2] C. Kittle, in “Introduction to Solid State Physics 8/e”, Chap. 10, John Wiley & Sons, Inc., 1976.
[3] N. W. Ashcroft and N. D. Mermin, in “Solid State Physics”, Chap. 34, Thomson Learning, 1976.
[4] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 9, Academic Press, 1995.
[5] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 8, Cambridge University Press, 1999.
[6] Webpage “HyperPhysics”-“Type II Superconductors”, C. R. Nave, Georgia State University, 2005.
http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scond.html#c5
[7] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 5, Academic Press, 1995.
[8] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 10, Cambridge University Press, 1999.

Chapter 4
[1] Operator’s Handbook of HelioxTL Superconducting Magnet System.

Chapter 5
[1] H.-D. Liu, Y.-P. Zhao, G.. Ramanath, S.P. Murarka, and G.-C. Wang, Thin Solid Films 384, 151 (2001).
[2] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 1, Academic Press, 1995.
[3] N. W. Ashcroft and N. D. Mermin, in “Solid State Physics”, Chap. 1, Thomson Learning, 1976.
[4] T. E. Faber and A. B. Pippard, Proc. R. Soc. Lond. A 231, 336 (1955).
[5] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 3, Cambridge University Press, 1999.
[6] Webpage “The Coherence Length (Pippard's Equation)”, Jess H. Brewer, 2001,
http://musr.org/theses/Sonier/MSc/node9.html
[7] C. Caroli, P.G.. de Gennes, and J. Matricon, Phys. kondens. Materie 1, 176-190 (1963).
[8] A. N. Lykov, Advances in Physics 42, 263 (1993).
[9] Webpage “The Clean and Dirty Limits”, Jess H. Brewer, 2001,
http://musr.org/theses/Sonier/MSc/node11.html
[10] M. Tinkham, Phys. Rev. 110, 26 (1958).
[11] M. Tinkham, Phys. Rev. 129, 2413 (1963).

Chapter 6
[1] H.-D. Liu, Y.-P. Zhao, G.. Ramanath, S.P. Murarka, and G.-C. Wang, Thin Solid Films 384, 151 (2001).
[2] Charles P. Poole, Jr., Horacio A. Farach, and Richard J. Creswick, in “Superconductivity”, Chap. 1, Academic Press, 1995.
[3] N. W. Ashcroft and N. D. Mermin, in “Solid State Physics”, Chap. 1, Thomson Learning, 1976.
[4] T. E. Faber and A. B. Pippard, Proc. R. Soc. Lond. A 231, 336 (1955).
[5] J.B. Ketterson and S. N. Song, in ”Superconductivity”, Chap. 3, Cambridge University Press, 1999.
[6] Webpage “The Coherence Length (Pippard's Equation)”, Jess H. Brewer, 2001,
http://musr.org/theses/Sonier/MSc/node9.html
[7] C. Caroli, P.G.. de Gennes, and J. Matricon, Phys. kondens. Materie 1, 176-190 (1963).
[8] A. N. Lykov, Advances in Physics 42, 263 (1993).
[9] Webpage “The Clean and Dirty Limits”, Jess H. Brewer, 2001,
http://musr.org/theses/Sonier/MSc/node11.html
[10] M. Tinkham, Phys. Rev. 110, 26 (1958).
[11] M. Tinkham, Phys. Rev. 129, 2413 (1963).

Appendixes
[1] G. Deutscher, in “New Superconductors: From Granular to High Tc”, Chap4, World Scientific, 2006.
[2] R. H. Parmenter, Phys. Rev. 166, 392 (1968).
[3] J.B. Ketterson, and S. N. Song, in ”Superconductivity”, Chap. 5, Cambridge University Press, 1999.
[4] J. M. Blatt and C. J. Thompson, Phys. Rev. Lett. 10, 332 (1963).
[5] C. J. Thompson and J. M. Blatt, Phys. Lett. 5, 6 (1963).
[6] M. Yu, M. Strongin, and A. Paskin, Phys. Rev. B 14, 996 (1976).
[7] R. W. Cohen and B. Abeles, Phys. Rev. 168, 444 (1968).
[8] B. Abeles, R. W. Cohen, and G. W. Cullen, Phys. Rev. Lett. 17, 632 (1966)
[9] R. H. Parmenter, Phys. Rev. 167, 387 (1968).
[10] V. L. Ginzburg, Phys. Lett. 13, 101 (1964).
[11] M. H. Cohen and D. H. Douglass, Jr., Phys. Rev. Lett. 19, 118 (1967).
[12] V. L. Ginzburg and L. D. Landau, Zh. Eksp. i Teor. Fiz. 20, 1064 (1950).
[13] D. H. Douglass, Jr., Phys. Rev. Lett. 6, 346 (1961).
[14] M. Tinkham, Phys. Rev. 129, 2413 (1963).
[15] M. Tinkham, Phys. Rev. 110, 26 (1958).
[16] X. Y. Bao et al., Phys. Rev. Lett. 95, 247005 (2005).
[17] B. Abeles, R. W. Cohen, and W. R. Stowell, Phys. Rev. Lett. 18, 902 (1967).
[18] L. N. Bulaevskii and M. V. Sadovskii, J. Low Temp. Phys. 59, 89 (1985).
[19] M. V. Sadovskii, in ”Superconductivity and Localization”, World Scientific,
2000.
[20] S. Maekawa and H. Fukuyama, J. Phys. Soc. Jpn. 51, 1380 (1982).
[21] S. Maekawa, H. Ebisawa, and H. Fukuyama, J. Phys. Soc. Jpn. 52, 1352 (1983).
[22] B. Shinozaki, T. Kawaguti, and Y. Fujimori, J. Phys. Soc. Jpn. 52, 2297 (1983).
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/41346-
dc.description.abstract在此論文的前半部研究,我們描述準備與測量由分子束磊晶長成的四塊不同厚度的鋁薄膜(12,16,20與60 nm)並呈現其AFM及XRD的圖形且藉此討論其構造。我們進一步藉由研究這四塊鋁薄膜的超導特性來驗證由AFM與XRD圖所推測的結構特性並得到更詳細的推論。我們測量電阻率、臨界溫度、臨界磁場、臨界電流等作為判斷的參數,並利用Drude model 及其他修正來計算平均自由路徑藉以討論薄膜結構的均勻狀態。我們亦觀察到在不同平均自由路徑的修正下會影響我們對超導分類的判斷。對於平均自由路徑的修正我們考慮到尺寸效應、顆粒效應、以及電子侷限效應等等。在論文的後半部研究,我們描述準備與測量由電子槍蒸鍍長成的二塊不同厚度的鋁薄膜(30與60 nm)並且執行與分子束磊晶長成的薄膜相同的研究與測量,我們得到與先前研究有相當差異的結果。我們最後比較這兩種長晶法所得到的鋁薄膜的結構差異,得到電子槍蒸鍍長成的鋁薄膜與分子束磊晶長成的12 nm鋁薄膜會有較小且完整的顆粒。zh_TW
dc.description.abstractIn the first part of this thesis, we describe preparation and measurements of use MBE-grown Al thin films with four different thicknesses (12, 16, 20 and 60 nm) and then present the information from AFM and XRD patterns of the flims we judge the structures of the four films. Furthermore, by studying superconductivity of the films and comparing the experimental results with the previous theories we analyze the details of the Al structures. We had measured the normal resistivity , the critical temperature Tc, the critical filed Hc, the critical current density Jc as the judging parameters and calculated the mean free path l by Drude model and several corrections to discuss the homogeneity of the structures. We also observe the variation of the superconducting classification with different corrections of l and discovery that the mean free path indeed influences the classification by altering the penetration depth and the coherence length. The corrections of l are in consideration of size effect, granular boundary scattering, electron localization, etc. In the second part of this thesis, we describe preparation and measurements of E-gun-grown Al thin films with two different thicknesses (30 and 60 nm) and undertake the same research as that done on the MBE-grown films. Finally, we compare the structures and superconductivity of the MBE and E-gun films. We suggest that the grains of the E-gun-prepared films are more complete and smaller.en
dc.description.provenanceMade available in DSpace on 2021-06-15T00:16:20Z (GMT). No. of bitstreams: 1
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Previous issue date: 2009
en
dc.description.tableofcontentsChapter 1 Introduction 1
1.1 Introduction of Type I Superconductor………………………………………1
1.2 Zero resistivity……………………………………1
1.3 Perfect diamagnetism………………………………3
1.4 Shielding current density………………………5
1.5 Critical field………………………………………6
1.6 Critical current density………………………7
1.7 Concentration of super electrons………………10
1.8 Thermodynamics of the Superconducting Transition……11
1.9 Quantization of magnetic flux in a superconductor ring …………………………………13
References……………………………………………14
Chapter 2 Theory for superconductivity 15
2.1.0 Introduction to Ginzburg-Landau theory…………15
2.1.1 Order parameter……………………………………15
2.1.2 Ginzburg-Landau equations…………………………16
2.1.3 Zero-field case deep inside superconductor………18
2.1.4 Zero-field case near superconductor boundary……19
2.1.5 Fluxoid quantization……………………………………21
2.1.6 Penetration depth………………………………………22
2.1.7 Critical current density……………………………25
2.1.8 London equation………………………………………27
2.1.9 Normalized Ginzburg-Landau equation……………31
2.2.0 Introduction to BCS theory…………………………31
2.2.1 Cooper pairs…………………………………………………31
2.2.2 Energy gap in a superconductor………………………34
References……………………………………………………38
Chapter 3 Type II Superconductivity 39
3.1 Introduction to Type II Superconductivity………39
3.2 Internal and critical fields………………………40
3.3 Ginzburg-Landau parameter and surface energy……42
3.4 Vortices……………………………………………………44
3.5 The B field distribution……………………………45
3.6 Critical fields…………………………………………47
References…………………………………………………49
Chapter 4 Sample preparation 51
4.1.0 MBE-grown Al films………………………………51
4.1.1 Analysis of XRD patterns…………………………51
4.1.2 Analysis of AFM patterns………………………51
4.2.0 E-gun-grown Al films……………………………57
4.2.1 Analysis of XRD patterns…………………………57
4.2.2 Analysis of AFM patterns…………………………57
4.3 Low temperature instrument…………………………60
4.4 Four-terminal resistance measurement………………62
References……………………………………………………64
Chapter 5 Superconductivity in MBE-grown Al films with different thicknesses 65
5.1 Resistances measurements of MBE-grown Al films at various temperatures…………65
5.2 Experimental results for the temperature dependence of the critical magnetic fields of the MBE films…………69
5.3 Calculation of the London penetration depth…………73
5.4 Calculation of the Pippard coherence length………73
5.5 The Clean and Dirty limits for superconductor……74
5.6 Granular superconductor correction……………………76
5.7 Size effect correction of the electron mean free path for uniform thin film…78
5.8 Calculation of the coherence length at T = 0 K……80
5.9 The correction of the penetration depth at T = 0 K……81
5.10 Experimental results for the critical current………82
5.11 Discussion……………………………………………………83
References……………………………………………85
Chapter 6 Superconductivity in two E-gun-grown Al films with different thicknesses 87
6.1 Resistance measurements of E-gun-grown Al films at various temperatures……………87
6.2 Experimental results for the temperature dependence of the critical magnetic fields of the E-gun films………90
6.3 Calculation of the London penetration depth…………93
6.4 Calculation of the Pippard coherence length…………93
6.5 The Clean and Dirty limits for superconductor………94
6.6 Granular superconductor correction……………………95
6.7 Size effect correction of the electron mean free path for uniform thin film…96
6.8 Calculation of the coherence length at T = 0 K………97
6.9 The correction of the penetration depth at T = 0 K……97
6.10 Experimental results for the critical current…………98
6.11 Discussion……………………………………100
References………………………………………………101
Chapter 7 Conclusion 103
Appendixes 105
Appendix I Granular superconductor films…………………105
Appendix II The intermediate state……………………105
Appendix III Theory of the thickness dependence of the critical temperature in a thin superconducting film……107
Appendix IV Theory of enhancement of the critical temperature in a granular superconducting film…………111
Appendix V Theory of the thickness dependence of the critical magnetic field in a thin superconducting film…113
Appendix VI Theory of enhancement of the critical magnetic field of a granular superconducting film…………………115
Appendix VII The upward curve in diagram and electron localization…………117
References……………………………………………119
dc.language.isoen
dc.subject電子侷限效應zh_TW
dc.subject分子束磊晶zh_TW
dc.subject電子槍蒸鍍zh_TW
dc.subject鋁薄膜zh_TW
dc.subject尺寸效應zh_TW
dc.subject顆粒效應zh_TW
dc.subjectMBEen
dc.subjectgranular effecten
dc.subjectsize effecten
dc.subjectAl filmen
dc.subjectE-gunen
dc.subjectelectron localizationen
dc.title分子束磊晶及電子槍蒸鍍準備之鋁薄膜的超導特性研究zh_TW
dc.titleSuperconductivity in aluminum films prepared by MBE and electron gun evaporationen
dc.typeThesis
dc.date.schoolyear97-2
dc.description.degree碩士
dc.contributor.oralexamcommittee林立弘,張本秀
dc.subject.keyword分子束磊晶,電子槍蒸鍍,鋁薄膜,尺寸效應,顆粒效應,電子侷限效應,zh_TW
dc.subject.keywordMBE,E-gun,Al film,size effect,granular effect,electron localization,en
dc.relation.page119
dc.rights.note有償授權
dc.date.accepted2009-06-05
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理研究所zh_TW
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