Temperature correction to Casimir-Lifshitz free energy at low temperatures: Semiconductors

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 2, 2008, Pages

  Ellingsen, Simen A ^a   Brevik, Iver ^a   Høye, Johan S ^a   Milton, Kimball A ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FREE ENERGY; METALS; NUMERICAL ANALYSIS;

CASIMIR; CASIMIR FORCE; DIELECTRIC FUNCTIONS; LOW TEMPERATURES; NUMERICAL STUDIES; PARALLEL PLATES; TE MODES; TEMPERATURE CORRECTION; TRANSVERSE-MAGNETIC MODES;

DIELECTRIC MATERIALS;

EID: 50049086987     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.021117     Document Type: Article

References (38)

1. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. PKNAAU 0370-0348 51, 793 (1948).
2. E. M. Lifshitz, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 29, 94 (1956).
3. S. K. Lamoreaux, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 78.5 78, 5 (1997).
4. U. Mohideen and A. Roy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4549 81, 4549 (1998).
5. A. Roy, C.-Y. Lin, and U. Mohideen, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.60.111101 60, 111101 (R) (1999).
6. B. W. Harris, F. Chen, and U. Mohideen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052109 62, 052109 (2000).
7. T. Ederth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062104 62, 062104 (2000).
8. F. Chen, U. Mohideen, G. L. Klimchitskaya, and V. M. Mostepanenko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.101801 88, 101801 (2002).
9. H. B. Chan, V. A. Aksyuk, R. N. Kleiman, D. J. Bishop, and F. Capasso, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.211801 87, 211801 (2001);
10. H. B. Chan, V. A. Aksyuk, R. N. Kleiman, D. J. Bishop, and F. Capasso, Science SCIEAS 0036-8075 10.1126/science.1057984 291, 1941 (2001).
11. G. Bressi, G. Carugno, R. Onofrio, and G. Ruoso, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.041804 88, 041804 (2002).
12. V. B. Bezerra, R. S. Decca, E. Fischbach, B. Geyer, G. L. Klimchitskaya, D. E. Krause, D. López, V. M. Mostepanenko, and C. Romero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.028101 73, 028101 (2006).
13. R. S. Decca, D. López, E. Fischbach, G. L. Klimchitskaya, D. E. Krause, and V. M. Mostepanenko, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2005.03.007 318, 37 (2005).
14. J. Schwinger, L. L. DeRaad, Jr., and K. A. Milton, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(78)90172-0 115, 1 (1978).
15. M. Boström and Bo E. Sernelius, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4757 84, 4757 (2000).
16. S. K. Lamoreaux, Phys. Today PHTOAD 0031-9228 60 (2), 40 (2007).
17. G. L. Klimchitskaya and V. M. Mostepanenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.062108 63, 062108 (2001).
18. I. Brevik, S. A. Ellingsen, and K. A. Milton, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/10/236 8, 236 (2006).
19. G. L. Klimchitskaya and V. M. Mostepanenko, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107510600693683 47, 131 (2006).
20. B. Geyer, G. L. Klimchitskaya, and V. M. Mostepanenko, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.72.085009 72, 085009 (2005).
21. G. L. Klimchitskaya, B. Geyer, and V. M. Mostepanenko, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/21/S46 39, 6495 (2006).
22. B. Geyer, G. L. Klimchitskaya, and V. M. Mostepanenko, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/S0217751X06034227 21, 5007 (2006).
23. G. L. Klimchitskaya and B. Geyer, J. Phys. A JPHAC5 0305-4470 41, 164014 (2008).
24. J. S. Høye, I. Brevik, S. A. Ellingsen, and J. B. Aarseth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.051127 75, 051127 (2007).
25. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
26. S. A. Ellingsen, e-print arXiv:quant-ph/0710.1015, Phys. Rev. E (to be published);
27. F. Intravaia and C. Henkel, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/41/16/164018 41, 164018 (2008).
28. L. Lewin, in Structural Properties of Polylogarithms, edited by, L. Lewin, (American Mathematical Society, Providence, 1991).
29. F. Chen, G. L. Klimchitskaya, V. M. Mostepanenko, and U. Mohideen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.035338 76, 035338 (2007).
30. I. Brevik, S. A. Ellingsen, J. S. Høye, and K. A. Milton, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/41/16/164017 41, 164017 (2008).
31. J. S. Høye, I. Brevik, J. B. Aarseth, and K. A. Milton, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.056116 67, 056116 (2003), Sec. 3.
32. K. A. Milton, The Casimir Effect: Physical Manifestations of the Zero-Point Energy (World Scientific, Singapore, 2001), p. 56.
33. G. Barton, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/42/6/001 42, 963 (1979).
34. Bo E. Sernelius, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.235114 71, 235114 (2005).
35. V. B. Svetovoy and R. Esquivel, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/21/S79 39, 6777 (2006).
36. R. Esquivel-Sirvent, C. Villarreal, W. L. Mochán, A. M. Contreras-Reyes, and V. B. Svetovoy, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/21/S24 39, 6323 (2006).
37. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (Springer, New York, 1999).
38. E. Elizalde, S. D. Odintsov, A. Romeo, A. A. Bytsenko, and S. Zerbini, Zeta Regularization Techniques with Applications (World Scientific, Singapore, 1994).