| 研究生: |
王奕鈞 Wang, Yi-Chun |
|---|---|
| 論文名稱: |
電子對和聲子的交互作用研究 A Study of Electron Pair and Phonon Interaction |
| 指導教授: |
許正餘
Hsu, Jang-Yu |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 物理學系 Department of Physics |
| 論文出版年: | 2014 |
| 畢業學年度: | 102 |
| 語文別: | 英文 |
| 論文頁數: | 51 |
| 中文關鍵詞: | 超導現象 、庫柏對 、擴散蒙地卡羅法 |
| 外文關鍵詞: | Superconductivity, Cooper Pair, Diffusion Monte Carlo |
| 相關次數: | 點閱:105 下載:6 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
二硼化鎂的超導臨界溫度相對高於其他常規超導,再加上分子結構相對於其他高溫超導體簡單許多,這有助於我們重新檢查常規超導的BCS理論與高溫超導之間的關聯。我們重新假定BCS理論的庫柏對是由單位晶胞裡的一對電子和裸聲子零點能交互作用形成,但這樣的模型並不如預期的形成庫柏對。接下來採用更接近庫珀的模型,改為討論一對電子和穿衣粒子的交互作用,其中穿衣粒子為包含離子聲波的準粒子。這個模型中,晶格震盪的零點能和離子電漿頻率之間的比例,會影響是否形成超導態。
The relatively high critical temperature and simple structure of MgB2 superconductor motivated the current study to revisit the BCS theory. The Cooper pair effect is reexamined by studying the interaction of an electron pair and a bare phonon of zero point energy (ZPE) in a unit cell. It is found that there is no Cooper pair effect in this theoretical model. The interaction of electron pair of dressed particle model that includes the ion sound wave and the electron screening is proposed that reveals similar effect as Cooper originally suggested. The effect of ZPE is to be included in this latter model and it suggests the importance of the ratio of ion plasma frequency and the lattice oscillation frequency of ZPE.
[1] J. G. Bednorz and K. A. Mueller, "Possible high TC superconductivity in the Ba-La-Cu-O system," Zeitschrift für Physik B, vol. 64, p. 189–193, 1986.
[2] K. M. Wu, J. R. Ashburn, C. J. Torng, P. H. Hor, R. L. Meng, L. Gao, Z. J. Huang, Y. Q. Wang and C. W. Chu, "Superconductivity at 93 K in a new mixed-phase Y-Ba-Cu-O compound system at ambient pressure," Phys. Rev. Lett., vol. 58, p. 908, 1987.
[3] Hyoung Joon Choi, Steven G. Louie and Marvin L. Cohen, "Prediction of superconducting properties of CaB2 using anisotropic Eliashberg theory," Phys. Rev. B, vol. 80, p. 064503, 2009.
[4] P. Ravindran, P. Vajeeston, R. Vidya, A. Kjekshus and H. Fjellvåg, "Detailed electronic structure studies on superconducting MgB2 and related compounds," Phys. Rev. B, vol. 64, p. 224509, 2001.
[5] L. Rolf, Q. Zhang, W. Shi, J. T. Ye, C. Qiu, Z. Wang, H. He, P. Sheng, T. Qian, Z. Tang, N. Wang, X. Zhang, J. Wang and C. T. Chan, "Superconducting characteristics of 4-Å carbon nanotube–zeolite composite," PNAS, vol. 106, no. 18, pp. 7299 - 7303, 2009.
[6] N. Jun, N. Norimasa, M. Takahiro, Z. Yuji and A. Jun, "Superconductivity at 39 K in magnesium diboride," Nature, vol. 410, p. 63–64, 2001.
[7] H. Fröhlich, Phys. Rev., vol. 79, p. 845, 1950.
[8] E. Maxwell, "Isotope Effect in the Superconductivity of Mercury," Phys. Rev., vol. 78, p. 477, 1950.
[9] C. A. Reynolds, B. Serin, W. H. Wright and L. B. Nesbitt, Phys. Rev., vol. 78, p. 487, 1950.
[10] Leon N. Cooper, "Bound Electron Pairs in a Degenerate Fermi Gas," Phys. Rev., vol. 104, p. 1189, 1956.
[11] M. Tinkham, Introduction to Superconductivity, 2nd ed., 1996, pp. 44-48.
[12] H. Fröhlich, Proc. Roy. Soc., vol. A215, p. 291, 1952.
[13] J. Bardeen and D. Pines, "Electron-Phonon Interaction in Metals," Phys. Rev., vol. 99, p. 1140, 1955.
[14] D. Pines, Phys. Rev., vol. 109, p. 280, 1958.
[15] P. G. d. Gennes, Superconductivity in Metals and Alloys, New York: W. A. Benjamin, 1966, p. 102.
[16] J. P. Carbotte, "Properties of boson-exchange superconductors," Revs. Mod. Phys., vol. 62, p. 1027, 1990.
[17] C. Kittel, Introduction to Solid State Physics, 8th ed., 2005, pp. 277-279.
[18] I. Kosztin, B. Faber and K. Schulten, "Introduction to the diffusion Monte Carlo method," Am. J. Phys., vol. 64, p. 633, 1996.
[19] J. Maruani, Molecules in Physics, Chemistry, and Biology, vol. 3, 1989, pp. 73-92.
[20] J. J. Hsu, "Nanocomputing: Computational Physics for Nanoscience and Nanotechnology," pp. 70-73, 2009.
[21] F. A. Cotton and G. Wilkinson, Advanced Inorganic Chemistry, 4th ed., 1980, pp. 247-249.
[22] D. J. Griffiths, Introduction to quantum mechanics, 1994, pp. 264-265.
[23] G. D. Mahan, Many-Particle Physics, 3rd ed., 2000, pp. 9-11.