Influence of slab thickness on the Casimir force

We calculate the Casimir force between slabs of finite thickness made of intrinsic and doped silicon with different concentration of carriers and compare the results to those obtained for gold slabs. We use the Drude and the plasma models to describe the dielectric function for the carriers in doped Si. We discuss the possibility of experimentally testing the appropriateness of these models. We also investigate the influence of finite thickness on $VO_2$, which has recently been proposed for Casimir effect measurements testing the metal-insulator transition.

[1]  G. L. Klimchitskaya,et al.  Experimental test for the conductivity properties from the Casimir force between metal and semiconductor , 2006, quant-ph/0603111.

[2]  Lennart Bergström,et al.  Hamaker constants of inorganic materials , 1997 .

[3]  D. Iannuzzi,et al.  Observation of the skin-depth effect on the Casimir force between metallic surfaces. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[4]  I. Brevik,et al.  Casimir force on real materials—the slab and cavity geometry , 2006, quant-ph/0611030.

[5]  F Chen,et al.  Demonstration of optically modulated dispersion forces. , 2007, Optics express.

[6]  Do the Precise Measurements of the Casimir Force Agree with the Expectations , 2000, quant-ph/0001010.

[7]  Investigation of the Casimir force between metal and semiconductor test bodies , 2005, quant-ph/0505003.

[8]  B. Sernelius,et al.  Comment on "Casimir force at both nonzero temperature and finite conductivity". , 2001, Physical Review Letters.

[9]  Casimir force between partially transmitting mirrors , 1991, quant-ph/0101067.

[10]  G. L. Klimchitskaya,et al.  Bordag, Geyer, Klimchitskaya, and Mostepanenko Reply: , 2001 .

[11]  F. Capasso,et al.  Quantum Mechanical Actuation of Microelectromechanical Systems by the Casimir Force , 2001, Science.

[12]  Experimental approaches to the difference in the Casimir force due to modifications in the optical properties of the boundary surface , 2007, 0705.1358.

[13]  S. Reynaud,et al.  The Casimir effect within scattering theory , 2006, quant-ph/0611103.

[14]  Casimir force at both nonzero temperature and finite conductivity. , 2000, Physical review letters.

[15]  Laurent Duraffourg,et al.  Casimir force between doped silicon slabs , 2006 .

[16]  A. Lambrecht,et al.  The Casimir effect for silicon and gold slabs , 2007 .

[17]  G. L. Klimchitskaya,et al.  Bordag, Geyer, Klimchitskaya, and Mostepanenko , 2001 .

[18]  N. Inui.  Temperature Dependence of the Casimir Force between Silicon Slabs , 2003 .

[19]  V. Svetovoy,et al.  The casimir free energy in high- and low-temperature limits , 2006 .

[20]  B. Jancovici,et al.  Casimir force between two ideal-conductor walls revisited , 2005, cond-mat/0506363.

[21]  Sample dependence of the Casimir force , 2004, cond-mat/0412123.

[22]  Nevill Mott,et al.  Metal-insulator transitions , 1974 .

[23]  G. L. Klimchitskaya,et al.  Investigation of the temperature dependence of the Casimir force between real metals , 2001 .

[24]  R. Onofrio,et al.  Thermal and dissipative effects in Casimir physics , 2006, quant-ph/0611118.

[25]  C. N. Berglund,et al.  Optical Properties of V O 2 between 0.25 and 5 eV , 1968 .

[26]  K. Milton,et al.  Thermal corrections to the Casimir effect , 2006, quant-ph/0605005.

[27]  M. Roukes,et al.  Metastability and the Casimir effect in micromechanical systems , 2000, cond-mat/0008096.

[28]  C. Genet,et al.  Casimir force and the quantum theory of lossy optical cavities , 2002, quant-ph/0210174.

[29]  Correlation between plasma and temperature corrections to the Casimir force , 2001, quant-ph/0111162.

[30]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[31]  B. Sernelius.  Finite-temperature Casimir force between metal plates: full inclusion of spatial dispersion resolves a long-standing controversy , 2006 .

[32]  U. Mohideen,et al.  New developments in the Casimir effect , 2001, quant-ph/0106045.

[33]  B. Sernelius,et al.  Thermal effects on the casimir force in the 0.1- 5 &mgr;m range , 2000, Physical review letters.

[34]  E. Lifshitz.  The theory of molecular attractive forces between solids , 1956 .

[35]  Does the transverse electric zero mode contribute to the Casimir effect for a metal? , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  V. B. Svetovoy,et al.  Precise calculation of the Casimir force between gold surfaces , 2000 .

[37]  Comment on "Thermal effects on the Casimir force in the 0.1-5 microm range". , 2000, Physical review letters.

[38]  Linear temperature correction to the Casimir force , 2001, quant-ph/0101124.