請用此 Handle URI 來引用此文件：
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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 高英哲(Kao Ying-Jer) | |
| dc.contributor.author | Ta Ko | en |
| dc.contributor.author | 柯達 | zh_TW |
| dc.date.accessioned | 2021-06-15T04:54:28Z | - |
| dc.date.available | 2010-08-03 | |
| dc.date.copyright | 2010-08-03 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-07-30 | |
| dc.identifier.citation | Bibliography
[1] H. Suhl, B. T. Matthias, and L. R. Walker, Phys. Rev. Lett. 3, 552 (1959). [2] J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, and J. Akimitsu, Nature 410, 63 (2001). [3] H.D. Yang, J.Y. Lin, H.H. Li, F.H. Hsu, C.J. Liu, S.C. Li, R.C. Yu, and C.Q. Jin, Phys. Rev. Lett. 87, 167003 (2001). [4] M. Zehetmayer, M. Eisterer, J. Jun, S.M. Kazakov, J. Karpinski, A. Wisniewski, and H W. Weber, Phys. Rev. B 66, 052505 (2002). [5] A.V. Sologubenko, J. Jun, S.M. Kazakov, J. Karpinski, and H.R. Ott, Phys. Rev. B 66, 014504 (2002). [6] M. Iavarone, G. Karapetrov, A.E. Koshelev, W.K. Kwok, G W. Crabtree, D.G. Hinks, W.N. Kang, E.M. Choi, H.J. Kim, H.J. Kim, and S.I. Lee, Phys. Rev. Lett. 89, 187002 (2002). [7] Y. Kong, O.V. Dolgov, O. Jepsen, and O.K. Andersen, Phys. Rev. B 64, 020501 (2001). [8] J. Kortus, I.I. Mazin, K.D. Belashchenko, V.P. Antropov, and L.L. Boyer, Phys. Rev. Lett. 86, 4656 (2001). [9] A.Y. Liu, I.I. Mazin, and J. Kortus, Phys. Rev. Lett. 87, 087005 (2001). [10] R. Osborn, E.A. Goremychkin, A.I. Kolesnikov, and D.G. Hinks, Phys. Rev. Lett. 87, 017005 (2001). [11] H.J. Choi, D. Roundy, H. Sun, M.L. Cohen, and S.G. Louie, Phys. Rev. B 66, 020513 (2002). 61 [12] H.J. Choi, D. Roundy, H. Sun, M.L. Cohen, and S.G. Louie, Nature 418, 758 (2002). [13] M.E. Zhitomirsky and V.H. Dao., Phys. Rev. B 69, 054508 (2004). [14] E.J. Nicol and J.P. Carbotte, Phys. Rev. B 71, 054501 (2005). [15] H.J. Choi, M.L. Cohen, and S.G. Louie, Phys. Rev. B 73, 104520 (2006). [16] M. Angst and R. Puzniak, cond-mat/03. [17] S.L. Bud′ko, G. Lapertot, C. Petrovic, C.E. Cunningham, N. Anderson, and P.C. Canfield, Phys. Rev. Lett. 86, 1877 (2001). [18] J.A. Wilson, F.J. Di Salvo, and S. Mahajan, Phys. Rev. Lett. 32, 882 (1974) [19] B.T. Matthias, T.H. Geballe, and V.B. Compton, Rev. Mod. Phys. 35, 1 (1963). [20] D. Sanchez, A. Junod, J. Muller, H. Berger, and F. Levy, Physica(Amsterdam) B 204, 167 (1995). [21] K. Rossnagel, O. Seifarth, L. Kipp, M. Skibowski, D. Vos, P. Kruger, A. Mazur, and J. Pollmann, Phys. Rev. B 64, 235119 (2001). [22] J.G. Rodrigo and S. Vieira, Physica C 404, 306 (2004). [23] T. Valla, A.V. Fedorov, P.D. Johnson, P.A. Glans, C. McGuinness, K.E. Smith, E.Y. Andrei, and H. Berger, Phys. Rev. Lett. 92,086401 (2004). [24] F.D. Callaghan, M. Laulajainen, C.V. Kaiser, and J.E. Sonier, Phys. Rev. Lett. 95, 197001 (2005). [25] M.D. Johannes, I.I. Mazin, and C.A. Howells, Phys. Rev. B 73, 205102 (2006). [26] C.L. Huang, J.Y. Lin, Y.T. Chang, C.P. Sun, H.Y. Shen, C.C. Chou, H. Berger, T.K. Lee, and H.D. Yang, Phys. Rev. B 76, 212504 (2007). [27] I. Guillamon, H. Suderow, F. Guinea, and S. Vieira, Phys. Rev. B 77, 134505 (2008). [28] S.V. Borisenko, A.A. Kordyuk, V.B. Zabolotnyy, D.S. Inosov, D. Evtushinsky, B. Buchner, A.N. Yaresko, A. Varykhalov, R. Follath, W. Eberhardt, L. Patthey and H. Berger, Phys. Rev. Lett. 102, 166402 (2009). 62 [29] T. Yokoya, T. Kiss, A. Chainani, S. Shin, M. Nohara, and H. Takagi, Science, 294, 2518 (2001). [30] T. Kiss, T. Yokoya, A. Chainani, S. Shin, T. Hanaguri, M. Nohara, and H. Takagi, Nat. Phys. 3, 720 (2007). [31] A.L. Fetter and J.D. Walecka, Quantum Theory of Many-Particle Systems, (Dover, New York, 2003). [32] G. Eilenberger, Z. Phys. 214, 195 (1958). [33] M. Ichioka, A. Hasegawa, and K. Machida, Phys. Rev. B 59, 184 (1999). [34] M. Ichioka, K. Machida, N. Nakai, and P. Miranovic , Phys. Rev. B 70,144508 (2004). [35] M. Marezio, P. D. Dernier, A. Menth, and G. W. Hull, Journal of Solid State Chemistry, 4, 425 (1972). [36] R. Corcoran, P. Meeson, Y. Onuki, P.A. Probst, M. Springford, K. Takita, H. Harima, G.Y. Guo, and B.L. Gyorffy, J. Condens. Matter 6,4479 (1994). [37] D.E. Moncton, J.D. Axe, and F.J. DiSalvo, Phys. Rev. Lett. 34, 734 (1975). [38] I. Guillamon, H. Suderow, S. Vieira, L. Cario, P. Diener, and P. Rodiere, Phys. Rev. Lett. 101, 166407 (2008). [39] W.C. Tonjes, V.A. Greanya, R. Liu, C.G. Olson, and P. Molinie, Phys. Rev. B 63, 235101 (2001). [40] K. Rossnagel, E. Rotenberg, H. Koh, N.V. Smith, and L. Kipp, Phys. Rev. B 72, 121103 (2005). [41] Th. Straub, Th. Finteis, R. Claessen, P. Steiner, S. Hufner, P. Blaha, C.S. Oglesby, and E. Bucher, Phys. Rev. Lett. 82, 4504 (1999). [42] D.S. Inosov, V.B. Zabolotnyy, D.V. Evtushinsky, A.A. Kordyuk, B. Buchner, R. Follath, H. Berger, and S.V. Borisenko, New J. Phys. 10, 125027 (2008) [43] D.W. Shen, Y. Zhang, L.X. Yang, J. Wei, H.W. Ou, J.K. Dong, B.P. Xie, C. He, J.F. Zhao, B. Zhou, M. Arita, K. Shimada, H. Namatame, M. Taniguchi, J. Shi, and D.L. Feng, Phys. Rev. Lett. 101, 226406 (2008). 63 [44] T.M. Rice and G.K. Scott, Phys. Rev. Lett. 35, 120 (1975). [45] E. Boaknin, M.A. Tanatar, J. Paglione, D. Hawthorn, F. Ronning, R.W. Hill, M. Sutherland, L. Taillefer, J. Sonier, S.M. Hayden, and J.W. Brill, Phys. Rev. Lett. 90, 117003 (2003). [46] J.D. Fletcher, A. Carrington, P. Diener, P. Rodiere, J.P. Brison, R. Prozorov, T. Olheiser and R.W. Giannetta, Phys. Rev. Lett. 98, 057003 (2007). [47] R. Joynt, Phys. Rev. B 41,4271 (1990). [48] M. Tinkham, Introduction to superconductivity, (Dover, New York, 2004). [49] J.E. Sonier, F.D. Callaghan, R.I. Miller, E. Boaknin, L. Taillefer, R.F. Kiefl, J.H. Brewer, K.F. Poon, and J.D. Brewer, Phys. Rev. Lett. 93, 017002 (2004). [50] V.G. Kogan, C. Martin, and R. Prozorov, Phys. Rev. B 80, 014507 (2009). [51] W.H. Press, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes: The Art of scienti c Computing (Cambridge University Press, Cambridge, England, 2007). [52] V.G. Kogan, Phys. Rev. B 66, 020509 (2002). [53] F. Bouquet, Y. Wang, R. A. Fisher, D. G. Hinks, J. D. Jorgensen, A. Junod, and N. E. Phillips, Europhys. Lett. 56, 856 (2001). [54] L.N. Bulaevskii, O.V. Dolgov, and M.O. Ptitsyn, Phys. Rev. B 38, 11290 (1988). | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/46116 | - |
| dc.description.abstract | NbSe2 has been recognized as a multiband superconductor recently by many experiments, including
the reported Fermi-sheet-dependent superconductivity in angle-resolved photoemission spectroscopy, thus strongly suggesting the multiband nature in NbSe2. It appears that a second energy gap involved can give a plausible explanation for previous experiments. Viewing NbSe2 as a two-gap superconductor, we proposed two possible scenarios to investigate how to locate the large gap and the small gap on the three bands in NbSe2. The two-gap Ginzburg-Landau theory is used to calculate the upper critical field and the corresponding gap ratio near Tc. Also, we apply the two-band Eilenberger equations and the two-gap BCS theory to calculate the superfluid density and the specific heat. The obtained results are fitted to previous experimental data, and it appears that the more plausible scenario is to respectively locate the large gap and the small gap on Nb-derived antibonding band and the Nb-derived bonding band. While previous studies have suggested that the Se-derived band serves as the isotropic small gap, we exclude such role of the Se-derived band for two reasons. One is its bad fit to the superfluid density, and the other is that the gap ratio obtained in the fit to Hc2(ab) is inconsistent with previous ARPES studies. Additionally, we discuss how the upper critical field is affected by the intraband Fermi-velocity anisotropy, interband Fermi-velocity anisotropy, density of states, interband coupling and the transition temperature of the large gap. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T04:54:28Z (GMT). No. of bitstreams: 1 ntu-99-R97222044-1.pdf: 2337236 bytes, checksum: b323712751c081699a6856265756f3de (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | Abstract i
1 Introduction 1 1.1 Two-gap superconductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.2 MgB2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.3 NbSe2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Theoretical background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.1 The BCS theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.2 Ginzburg-Landau theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.3 Eilenberger quasiclassical equations . . . . . . . . . . . . . . . . . . . . . 7 2 Two-gap Superconductivity in NbSe2 9 2.1 Electronic structure of NbSe2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Charge density wave . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Experimental aspect of two-gap superconductivity in NbSe2 . . . . . . . . . . . 11 2.3.1 Upper critical field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.3.2 Penetration depth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3.3 Heat conductivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.3.4 Muon-spin rotation measurement . . . . . . . . . . . . . . . . . . . . . . 14 2.3.5 Specific heat and Sommerfeld coefficient . . . . . . . . . . . . . . . . . . 15 2.3.6 High resolution photoemission . . . . . . . . . . . . . . . . . . . . . . . 17 2.3.7 Angle-resolved photoemission spectroscopy . . . . . . . . . . . . . . . . 17 2.3.8 Scanning tunnelling microscopy/spectroscopy . . . . . . . . . . . . . . . 19 2.4 Brief summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3 The Two-gap BCS Theory 23 3.1 Single-gap BCS theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.2 Extension to the two-gap BCS theory . . . . . . . . . . . . . . . . . . . . . . . 24 3.2.1 More than one species of Cooper-pairs . . . . . . . . . . . . . . . . . . . 24 3.2.2 Modelling two-gap superconductivity . . . . . . . . . . . . . . . . . . . . 25 3.2.2.1 Two-gap BCS model . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2.3 Two-band Eilenberger equations . . . . . . . . . . . . . . . . . . . . . . 26 3.2.4 Thermodynamic properties . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.2.4.1 Superfluid density ρ(T) . . . . . . . . . . . . . . . . . . . . . . 29 3.2.4.2 Specific heat Cv(T) . . . . . . . . . . . . . . . . . . . . . . . . 30 3.2.4.3 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . 31 4 Two-gap Ginzburg-Landau Theory 37 4.1 Single-gap Ginzurg-Landau theory . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.1.1 General free energy functional . . . . . . . . . . . . . . . . . . . . . . . . 37 4.1.2 Coherence length and penetration depth . . . . . . . . . . . . . . . . . . 39 4.1.3 Upper critical field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4.1.4 Derivation from Gorkov’s equations . . . . . . . . . . . . . . . . . . . . 43 4.2 Extension to two-Gap Ginzburg-Landau theory . . . . . . . . . . . . . . . . . . 43 4.2.1 Free energy functional . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 4.2.2 Ginzburg-Landau equations . . . . . . . . . . . . . . . . . . . . . . . . . 45 4.2.3 Upper critical field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 4.2.4 Toy band model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 4.2.4.1 Interband anisotropy . . . . . . . . . . . . . . . . . . . . . . . 48 4.2.4.2 Intraband anisotropy . . . . . . . . . . . . . . . . . . . . . . . 50 4.2.4.3 Density of states . . . . . . . . . . . . . . . . . . . . . . . . . . 53 4.2.4.4 Interband coupling . . . . . . . . . . . . . . . . . . . . . . . . . 54 4.2.4.5 Transition temperature of the large gap . . . . . . . . . . . . . 54 4.2.5 Results and discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5 Summary 58 6 Acknowledgements 60 Bibliography 61 | |
| dc.language.iso | en | |
| dc.subject | 較高臨界場 | zh_TW |
| dc.subject | 鈮化砷 | zh_TW |
| dc.subject | 雙能隙 | zh_TW |
| dc.subject | 超流體密度 | zh_TW |
| dc.subject | 硼化錳 | zh_TW |
| dc.subject | upper critical field | en |
| dc.subject | two-gap | en |
| dc.subject | Ginzburg-Landau theory | en |
| dc.subject | Eilenberger equation | en |
| dc.subject | NbSe2 | en |
| dc.subject | MgB2 | en |
| dc.subject | Superfluid density | en |
| dc.title | 對雙能隙超導體砷化鈮的理論研究 | zh_TW |
| dc.title | Theoretical Study on NbSe2 as a Two-gap Superconductor | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 胡崇德,林俊源,吳文欽 | |
| dc.subject.keyword | 鈮化砷,雙能隙,硼化錳,超流體密度,較高臨界場, | zh_TW |
| dc.subject.keyword | two-gap,Ginzburg-Landau theory,Eilenberger equation,NbSe2,MgB2,Superfluid density,upper critical field, | en |
| dc.relation.page | 64 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-07-30 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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