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Single-particle distribution function of a quantum dot system at finite temperature |
Wen Rui(文瑞), Zhang De-Ping(张德平), and Tian Guang-Shan(田光善)† |
School of Physics, Peking University, Beijing 100871, China |
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Abstract In the present paper, we shall rigorously re-establish the result of the single-particle function of a quantum dot system at finite temperature. Unlike the proof given in our previous work (Phys. Rev. B 74 195414 (2006)), we take a different approach, which does not exploit the explicit expression of the Gibbs distribution function. Instead, we only assume that the statistical distribution function of the quantum dot system is thermodynamically stable. As a result, we are able to show clearly that the electronic structure in the quantum dot system is completely determined by its thermodynamic stability. Furthermore, the weaker requirements on the statistical distribution function also make it possible to apply the same method to the quantum dot systems in non-equilibrium states.
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Received: 10 August 2011
Revised: 29 September 2011
Accepted manuscript online:
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PACS:
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74.78.Na
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(Mesoscopic and nanoscale systems)
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73.22.-f
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(Electronic structure of nanoscale materials and related systems)
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73.63.-b
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(Electronic transport in nanoscale materials and structures)
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Fund: Project supported by the National Science Foundation of China (Grant Nos. 10874003 and 11074004) and the National Basic Research Program of China (Grant No. 2009CB939901). |
Corresponding Authors:
Tian Guang-Shan,tiangs@pku.edu.cn
E-mail: tiangs@pku.edu.cn
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Cite this article:
Wen Rui(文瑞), Zhang De-Ping(张德平), and Tian Guang-Shan(田光善) Single-particle distribution function of a quantum dot system at finite temperature 2012 Chin. Phys. B 21 037401
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[1] Ruelle D 1969 Statistical Mechanics (Massachusetts: Benjamin Inc.) p. 33[2] Amit D J 1984 Field Theory, the Renormalization Group, and Critical Phenomena (Singapore: World Scientific)[3] Dyson F J and Lenard A 1967 J. Math. Phys. 8 423[4] Dyson F J and Lenard A 1968 J. Math. Phys. 9 1538[5] Lieb E H and Thirring W 1975 Phys. Rev. Lett. 35 687[6] Lieb E H and Seiringer R 2010 The Stability of Matter in Quantum Mechanics (Cambridge: Cambridge University Press)[7] Yong H C, Yang K H and Tian G S 2006 Phys. Rev. B 74 195414[8] Israel R 1979 Convexity in the Theory of Lattice Gases (New Jersey: Princeton University Press)[9] Haug H and Jauho A P 1996 Quantum Kinetics in Transport and Optics of Semiconductors (Berlin: Springer-Verlag)[10] Keldysh L V 1965 JETP Lett. 20 1018[11] Goldhaber-Gordon D, Shtrikman H, Mahalu D, Abusch-Magder D, Meirav U and Kastner M A 1998 Nature 391 1569[12] Cronenwett S M, Oosterkamp T H and Kouwenhoven L P Science 281 540[13] Meir Y and Wingreen N S 1994 Phys. Rev. B 49 11040[14] Aguado R and Langreth D C 2003 Phys. Rev. B 67 245307[15] Hu Z M, Yang K H and Tian G S 2005 Commun. Theor. Phys. 44 563[16] Ng T G 1996 Phys. Rev. Lett. 76 487[17] Yong H C, Yang K H and Tian G S 2007 Commun. Theor. Phys. 48 1107[18] Hershfield S 1993 Phys. Rev. Lett. 70 2134[19] Fujii T 2007 J. Phys. Soc. Jpn. 76 044709[20] Hu Z M, Yang K H and Tian G S 2004 Phys. Lett. A 326 462[21] Ekeland I and Temam R 1976 Convex Analysis and Variational Problems (Amsterdam: North-Holland) |
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