Independently Tunable Coupled Electron Quantum Layers

Abstract:

In the recent years, coupled electron quantum layers have gained considerable theoretical and experimental attention due to the existence of various new interesting phenomena. In the present work, we investigate the effects of independently tunable layer density on pair-correlation function of coupled electron layers at zero-temperature and zero-magnetic field. The quantum or dynamical version of self-consistent mean-field approximation of Singwi, Tosi, Land and Sjölander (qSTLS) is used to study the intralayer and interlayer pair-correlation functions, g_ll(r) and g₁₂(r), over a wide range of density parameter r_sl and interlayer spacing d. The pronounced oscillatory behaviour in g₂₂(r) has been found at critical density with sufficiently lower interlayer spacing d. To find the resultant effects of independently tunable layer density on the intralayer and interlayer pair-correlation functions, we have compared our results with that of the recent dependently tunable coupled electron quantum layers and single electron quantum layer.

• Periodical: Solid State Phenomena (Volume 209)
• Pages: 98-101
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.209.98
• Online since: November 2013
• Authors: Mukesh G. Nayak, Lalit K. Saini
• Keywords: Electron Correlation, Quantum Layer

References

[1] Y.W. Suen, L.W. Engel, M.B. Santos, M. Shayegan, and D.C. Tsui, Observation of a ν=1/2 fractional quantum Hall state in a double-layer electron system, Phys. Rev. Lett. 68 (1992) 1379-1382.

DOI: 10.1103/physrevlett.68.1379

[2] J.P. Eisenstein, G.S. Boebinger, L.N. Pfeiffer, K.W. West, and Song He, New fractional quantum Hall state in double-layer two-dimensional electron systems, Phys. Rev. Lett. 68 (1992) 1383-1386.

DOI: 10.1103/physrevlett.68.1383

[3] H.C. Manoharan, Y.W. Suen, M.B. Santos, and M. Shayegan, Evidence for a bilayer quantum Wigner solid, Phys. Rev. Lett. 77 (1996) 1813-1816.

DOI: 10.1103/physrevlett.77.1813

[4] G. Senatore, F. Rapisarda, and S. Conti, Novel electron gas systems, Int. J. Mod. Phys. B 13 (1999) 479-488.

DOI: 10.1142/s0217979299000370

[5] S.M. Badalyan, C.S. Kim, G. Vignale, and G. Senatore, Exchange and correlation effects on plasmon dispersions and Coulomb drag in low-density electron bilayers, Phys. Rev. B 75 (2007) 125321-1- 125321-12.

DOI: 10.1103/physrevb.75.125321

[6] K.S. Singwi, M.P. Tosi, R.H. Land, and A. Sjölander, Electron correlations at metallic densities, Phys. Rev. 176 (1968) 589-599.

DOI: 10.1103/physrev.176.589

[7] C. Zhang and N. Tzoar, Electron correlations in quantum and classical plasmas in a layered structure, Phys. Rev. A 38 (1988) 5786-5792.

DOI: 10.1103/physreva.38.5786

[8] J. Szymański, L. Świerkowski, and D. Neilson, Correlations in coupled layers of electrons and holes, Phys. Rev. B 50 (1994) 11002-11007.

DOI: 10.1103/physrevb.50.11002

[9] L. Liu, L. Świerkowski, D. Neilson, and J. Szymański, Static and dynamic properties of coupled electron-electron and electron-hole layers, Phys. Rev. B 53 (1996) 7923-7931.

DOI: 10.1103/physrevb.53.7923

[10] T. Hasegawa and M. Shimizu, Electron correlations at metallic densities, II. Quantum mechanical expression of dielectric function with Wigner distribution function, J. Phys. Soc. Jpn. 38 (1975) 965-973.

DOI: 10.1143/jpsj.38.965

[11] A. Holas and S. Rahman, Dynamical local-field factor of an electron liquid in the quantum versions of the Singwi-Tosi-Land-Sjölander and Vashishta-Singwi theories, Phys. Rev. B 35 (1987) 2720-2731.

DOI: 10.1103/physrevb.35.2720

[12] R.K. Moudgil, P.K. Ahluwalia, and K.N. Pathak, Static and dynamic correlation functions of a two-dimensional quantum electron fluid, Phys. Rev. B 52 (1995) 11945-11957.

DOI: 10.1103/physrevb.52.11945

[13] B. Tanatar and B. Davoudi, Dynamic correlations in double-layer electron systems, Phys. Rev. B 63 (2001) 165328-1-165328-10.

DOI: 10.1103/physrevb.63.165328

[14] R.K. Moudgil, G. Senatore, and L.K. Saini, Dynamic correlations in symmetric electron-electron and electron-hole bilayers, Phys. Rev. B 66 (2002) 205316-1-205316-10.

DOI: 10.1103/physrevb.66.205316

[15] F. Stern, Polarizability of a two-dimensional electron gas, Phys. Rev. Lett. 18 (1967) 546-548.

DOI: 10.1103/physrevlett.18.546

[16] M.G. Nayak and L.K. Saini, Ground-state properties of electron-electron quantum bilayers, J. Low Temp. Phys 162 (2011) 516-523.

DOI: 10.1007/s10909-010-0278-0