Casimir force, causality, and the Gurzhi model

Klimchitskaya, G. L.; Mostepanenko, V. M.; Yu, Kailiang; Woods, L. M.

doi:10.1103/physrevb.101.075418

Casimir force, causality, and the Gurzhi model

Journal Article · Tue Feb 18 00:00:00 EST 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.101.075418· OSTI ID:1800364

^[1]; ^[2]; ^[3]; ^[3]

Russian Academy of Sciences (RAS), Saint Petersburg (Russia); Peter the Great Saint Petersburg Polytechnic University (Russia); OSTI
Russian Academy of Sciences (RAS), Saint Petersburg (Russia); Peter the Great Saint Petersburg Polytechnic University (Russia); Kazan Federal University (Russia)
Univ. of South Florida, Tampa, FL (United States)

An extended Drude model, termed the Gurzhi model, which takes into account the electron-phonon and electron-electron interactions, is applied to calculate the Casimir force between two metallic plates. It is shown that although the dielectric permittivity of the Gurzhi model has a first-order pole in the upper half-plane of complex frequencies and, thus, violates the causality principle, it can be used in a restricted frequency interval in combination with the experimental permittivity determined by the optical data for the complex index of refraction. The imaginary part of the Gurzhi dielectric permittivity of Au at low frequencies demonstrates better agreement with the permittivity given by the optical data than the simple Drude model. The Casimir pressure between two Au plates is computed using the Gurzhi, Drude, and plasma model approaches, taking into account the optical data, as well as with the simple Drude and plasma models. Finally, the contribution of the electron-electron scattering to the Casimir pressure is estimated. Although a comparison with the measurement data of two precise experiments shows that the Gurzhi model does not resolve the Casimir puzzle, the obtained results suggest further clarification of this fundamental problem.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of South Florida, Tampa, FL (United States)

Sponsoring Organization:: Russian Foundation for Basic Research (RFBR); Russian Government; USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: FG02-06ER46297

OSTI ID:: 1800364

Alternate ID(s):: OSTI ID: 1600074

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 7 Vol. 101; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (59)

Making precise predictions of the Casimir force between metallic plates via a weighted Kramers-Kronig transform Bimonte, Giuseppe Physical Review A, Vol. 83, Issue 4 https://doi.org/10.1103/physreva.83.042109	journal	April 2011
Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies Banishev, A. A.; Klimchitskaya, G. L.; Mostepanenko, V. M. Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/physrevb.88.155410	journal	October 2013
Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates Decca, R. S.; López, D.; Fischbach, E. Physical Review D, Vol. 75, Issue 7 https://doi.org/10.1103/physrevd.75.077101	journal	April 2007
Materials perspective on Casimir and van der Waals interactions Woods, L. M.; Dalvit, D. A. R.; Tkatchenko, A. Reviews of Modern Physics, Vol. 88, Issue 4 https://doi.org/10.1103/revmodphys.88.045003	journal	November 2016
Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect Decca, R. S.; López, D.; Fischbach, E. The European Physical Journal C, Vol. 51, Issue 4 https://doi.org/10.1140/epjc/s10052-007-0346-z	journal	August 2007
Optical properties of gold films and the Casimir force Svetovoy, V. B.; van Zwol, P. J.; Palasantzas, G. arXiv https://doi.org/10.48550/arxiv.0801.1384	text	January 2008
Casimir Force between a Half-Space and a Plate of Finite Thickness Høye, Johan S.; Brevik, Iver arXiv https://doi.org/10.48550/arxiv.1604.05870	text	January 2016
Reducing detrimental electrostatic effects in Casimir-force measurements and Casimir-force-based microdevices Xu, Jun; Klimchitskaya, G. L.; Mostepanenko, V. M. arXiv https://doi.org/10.48550/arxiv.1803.00248	text	January 2018
Examining the Casimir puzzle with upgraded technique and advanced surface cleaning Liu, Mingyue; Xu, Jun; Klimchitskaya, G. L. arXiv https://doi.org/10.48550/arxiv.1908.00863	text	January 2019
Precision measurements of the gradient of the Casimir force between ultra clean metallic surfaces at larger separations Liu, Mingyue; Xu, Jun; Klimchitskaya, G. L. arXiv https://doi.org/10.48550/arxiv.1911.00703	text	January 2019
Pseudogap State in High-$T_c$ Superconductors: an Infrared Study Puchkov, A. V.; Basov, D. N.; Timusk, T. arXiv https://doi.org/10.48550/arxiv.cond-mat/9611083	preprint	January 1996
Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions Decca, R. S.; Lopez, D.; Fischbach, E. arXiv https://doi.org/10.48550/arxiv.quant-ph/0503105	text	January 2005
Kramers-Kronig relations for plasma-like permittivities and the Casimir force Klimchitskaya, G. L.; Mohideen, U.; Mostepanenko, V. M. arXiv https://doi.org/10.48550/arxiv.quant-ph/0703139	text	January 2007
Extended Drude model analysis of noble metals Youn, S. J.; Rho, T. H.; Min, B. I. physica status solidi (b), Vol. 244, Issue 4 https://doi.org/10.1002/pssb.200642097	journal	April 2007
Van der Waals force between dielectric plates derived from the quantum statistical mechanical path integral method Høye, J. S.; Brevik, I. Physica A: Statistical Mechanics and its Applications, Vol. 259, Issue 1-2 https://doi.org/10.1016/S0378-4371(98)00249-0	journal	October 1998
Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions Decca, R. S.; López, D.; Fischbach, E. Annals of Physics, Vol. 318, Issue 1 https://doi.org/10.1016/j.aop.2005.03.007	journal	July 2005
The Casimir effect in microstructured geometries Rodriguez, Alejandro W.; Capasso, Federico; Johnson, Steven G. Nature Photonics, Vol. 5, Issue 4 https://doi.org/10.1038/nphoton.2011.39	journal	March 2011
Observation of the thermal Casimir force Sushkov, A. O.; Kim, W. J.; Dalvit, D. A. R. Nature Physics, Vol. 7, Issue 3 https://doi.org/10.1038/nphys1909	journal	February 2011
The general theory of van der Waals forces Dzyaloshinskii, I. E.; Lifshitz, E. M.; Pitaevskii, L. P. Advances in Physics, Vol. 10, Issue 38 https://doi.org/10.1080/00018736100101281	journal	April 1961
Experiment and theory in the Casimir effect Klimchitskaya, G. L.; Mostepanenko, V. M. Contemporary Physics, Vol. 47, Issue 3 https://doi.org/10.1080/00107510600693683	journal	May 2006
Temperature dependence of the Casimir force Brevik, Iver; Høye, Johan S. European Journal of Physics, Vol. 35, Issue 1 https://doi.org/10.1088/0143-0807/35/1/015012	journal	December 2013
The pseudogap state in high- superconductors: an infrared study Puchkov, A. V.; Basov, D. N.; Timusk, T. Journal of Physics: Condensed Matter, Vol. 8, Issue 48 https://doi.org/10.1088/0953-8984/8/48/023	journal	November 1996
Optical response of correlated electron systems Maslov, Dmitrii L.; Chubukov, Andrey V. Reports on Progress in Physics, Vol. 80, Issue 2 https://doi.org/10.1088/1361-6633/80/2/026503	journal	December 2016
Kramers–Kronig relations for plasma-like permittivities and the Casimir force Klimchitskaya, G. L.; Mohideen, U.; Mostepanenko, V. M. Journal of Physics A: Mathematical and Theoretical, Vol. 40, Issue 17 https://doi.org/10.1088/1751-8113/40/17/F04	journal	April 2007
Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons Klimchitskaya, G. L.; Mostepanenko, V. M.; Sedmik, R. I. P. Physical Review A, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevA.100.022511	journal	August 2019
Precision measurements of the gradient of the Casimir force between ultraclean metallic surfaces at larger separations Liu, Mingyue; Xu, Jun; Klimchitskaya, G. L. Physical Review A, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevA.100.052511	journal	November 2019
Making precise predictions of the Casimir force between metallic plates via a weighted Kramers-Kronig transform Bimonte, Giuseppe Physical Review A, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevA.83.042109	journal	April 2011
Kelvin probe force microscopy of metallic surfaces used in Casimir force measurements Behunin, R. O.; Dalvit, D. A. R.; Decca, R. S. Physical Review A, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevA.90.062115	journal	December 2014
Casimir force between a half-space and a plate of finite thickness Høye, Johan S.; Brevik, Iver Physical Review A, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevA.93.052504	journal	May 2016
Universal experimental test for the role of free charge carriers in the thermal Casimir effect within a micrometer separation range Bimonte, G.; Klimchitskaya, G. L.; Mostepanenko, V. M. Physical Review A, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevA.95.052508	journal	May 2017
Reducing detrimental electrostatic effects in Casimir-force measurements and Casimir-force-based microdevices Xu, Jun; Klimchitskaya, G. L.; Mostepanenko, V. M. Physical Review A, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevA.97.032501	journal	March 2018
Apparatus to probe the influence of the Mott-Anderson metal-insulator transition in doped semiconductors on the Casimir effect Bimonte, Giuseppe Physical Review A, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevA.99.052506	journal	May 2019
Examining the Casimir puzzle with an upgraded AFM-based technique and advanced surface cleaning Liu, Mingyue; Xu, Jun; Klimchitskaya, G. L. Physical Review B, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevB.100.081406	journal	August 2019
Electron-electron scattering in the intraband optical conductivity of Cu, Ag, and Au Beach, R. T.; Christy, R. W. Physical Review B, Vol. 16, Issue 12 https://doi.org/10.1103/PhysRevB.16.5277	journal	December 1977
Intraband optical conductivity σ ( ω , T ) of Cu, Ag, and Au: Contribution from electron-electron scattering Parkins, G. R.; Lawrence, W. E.; Christy, R. W. Physical Review B, Vol. 23, Issue 12 https://doi.org/10.1103/PhysRevB.23.6408	journal	June 1981
Optical properties of gold films and the Casimir force Svetovoy, V. B.; van Zwol, P. J.; Palasantzas, G. Physical Review B, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevB.77.035439	journal	January 2008
Impact of surface imperfections on the Casimir force for lenses of centimeter-size curvature radii Bezerra, V. B.; Klimchitskaya, G. L.; Mohideen, U. Physical Review B, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevB.83.075417	journal	February 2011
Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics Broer, Wijnand; Palasantzas, George; Knoester, Jasper Physical Review B, Vol. 85, Issue 15 https://doi.org/10.1103/PhysRevB.85.155410	journal	April 2012
Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using an atomic force microscope in a frequency-shift technique Chang, C. -C.; Banishev, A. A.; Castillo-Garza, R. Physical Review B, Vol. 85, Issue 16 https://doi.org/10.1103/PhysRevB.85.165443	journal	April 2012
Measurement of the gradient of the Casimir force between a nonmagnetic gold sphere and a magnetic nickel plate Banishev, A. A.; Chang, C. -C.; Klimchitskaya, G. L. Physical Review B, Vol. 85, Issue 19 https://doi.org/10.1103/PhysRevB.85.195422	journal	May 2012
Optical dielectric function of gold Olmon, Robert L.; Slovick, Brian; Johnson, Timothy W. Physical Review B, Vol. 86, Issue 23 https://doi.org/10.1103/PhysRevB.86.235147	journal	December 2012
Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies Banishev, A. A.; Klimchitskaya, G. L.; Mostepanenko, V. M. Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevB.88.155410	journal	October 2013
Optical dielectric function of silver Yang, Honghua U.; D'Archangel, Jeffrey; Sundheimer, Michael L. Physical Review B, Vol. 91, Issue 23 https://doi.org/10.1103/PhysRevB.91.235137	journal	June 2015
Isoelectronic determination of the thermal Casimir force Bimonte, G.; López, D.; Decca, R. S. Physical Review B, Vol. 93, Issue 18 https://doi.org/10.1103/PhysRevB.93.184434	journal	May 2016
Role of electron-phonon coupling in finite-temperature dielectric functions of Au, Ag, and Cu Xu, Meng; Yang, Jia-Yue; Zhang, Shangyu Physical Review B, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevB.96.115154	journal	September 2017
Improved tests of extra-dimensional physics and thermal quantum field theory from new Casimir force measurements Decca, R. S.; Fischbach, E.; Klimchitskaya, G. L. Physical Review D, Vol. 68, Issue 11 https://doi.org/10.1103/PhysRevD.68.116003	journal	December 2003
Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates Decca, R. S.; López, D.; Fischbach, E. Physical Review D, Vol. 75, Issue 7 https://doi.org/10.1103/PhysRevD.75.077101	journal	April 2007
Scattering theory approach to electrodynamic Casimir forces Rahi, Sahand Jamal; Emig, Thorsten; Graham, Noah Physical Review D, Vol. 80, Issue 8 https://doi.org/10.1103/PhysRevD.80.085021	journal	October 2009
Demonstration of the Casimir Force between Ferromagnetic Surfaces of a Ni-Coated Sphere and a Ni-Coated Plate Banishev, A. A.; Klimchitskaya, G. L.; Mostepanenko, V. M. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.137401	journal	March 2013
Hide It to See It Better: A Robust Setup to Probe the Thermal Casimir Effect Bimonte, Giuseppe Physical Review Letters, Vol. 112, Issue 24 https://doi.org/10.1103/PhysRevLett.112.240401	journal	June 2014
Plasma versus Drude Modeling of the Casimir Force: Beyond the Proximity Force Approximation Hartmann, Michael; Ingold, Gert-Ludwig; Neto, Paulo A. Maia Physical Review Letters, Vol. 119, Issue 4 https://doi.org/10.1103/PhysRevLett.119.043901	journal	July 2017
Thermal Effects on the Casimir Force in the 0.1– 5 μ m Range Boström, M.; Sernelius, Bo E. Physical Review Letters, Vol. 84, Issue 20 https://doi.org/10.1103/PhysRevLett.84.4757	journal	May 2000
The Casimir force between real materials: Experiment and theory Klimchitskaya, G. L.; Mohideen, U.; Mostepanenko, V. M. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1827	journal	December 2009
Electrodynamics of correlated electron materials Basov, D. N.; Averitt, Richard D.; van der Marel, Dirk Reviews of Modern Physics, Vol. 83, Issue 2 https://doi.org/10.1103/RevModPhys.83.471	journal	June 2011
Materials perspective on Casimir and van der Waals interactions Woods, L. M.; Dalvit, D. A. R.; Tkatchenko, A. Reviews of Modern Physics, Vol. 88, Issue 4 https://doi.org/10.1103/RevModPhys.88.045003	journal	November 2016
Comparison Between Experiment and Theory for the Thermal Casimir Force Klimchitskaya, G. L.; Bordag, M.; Mostepanenko, V. M. International Journal of Modern Physics A, Vol. 27, Issue 15 https://doi.org/10.1142/S0217751X12600123	journal	June 2012
The Casimir Force Between Plates with Small Deviations from Plane Parallel Geometry Bordag, M.; Klimchitskaya, G. L.; Mostepanenko, V. M. International Journal of Modern Physics A, Vol. 10, Issue 18 https://doi.org/10.1142/S0217751X9500125X	journal	July 1995
Casimir forces beyond the proximity approximation Bimonte, G.; Emig, T.; Jaffe, R. L. EPL (Europhysics Letters), Vol. 97, Issue 5 https://doi.org/10.1209/0295-5075/97/50001	journal	February 2012
General theory of van der Waals' forces [Общая теория ван-дер-ваальсовых сил] Dzyaloshinskii, I. E.; Lifshitz, E. M.; Pitaevskii, Lev P. Uspekhi Fizicheskih Nauk, Vol. 73, Issue 3 https://doi.org/10.3367/UFNr.0073.196103b.0381	journal	January 1961

Similar Records

Thermal Casimir interaction between two magnetodielectric plates

Journal Article · Sun Feb 28 23:00:00 EST 2010 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:21366693

Surface-impedance approach solves problems with the thermal Casimir force between real metals

Journal Article · Sun Jun 01 00:00:00 EDT 2003 · Physical Review. A · OSTI ID:20636515

Comparison of the experimental data for the Casimir pressure with the Lifshitz theory at zero temperature

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:21389244

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Materials Science
Physics

Casimir force, causality, and the Gurzhi model

Citation Formats

References (59)

Similar Records

Related Subjects