Advertisement

Magneto-optical millimeter-wave spectroscopy

  • Claus Dahl
  • Philippe Goy
  • Jörg P. Kotthaus
Chapter
Part of the Topics in Applied Physics book series (TAP, volume 74)

Keywords

Magnetic Field Harmonic Generator Schottky Diode Polar Plot Resonance Position 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

a

Lattice period; major axis of an ellipse

A

Vector potential

b

Lattice period; minor axis of an ellipse

B

Magnetic-field strength

c

Speed of light

d

Diameter: substrate thickness

E

Electric field

Eext

External electric field

fr

Receiver frequency

fif

Intermediate frequency

F0

Resonance frequency of Lorentzian oscillator

F1

Frequency of master oscillator

F2

Frequency of slave oscillator

FG

Frequency of Gunn oscillator

FIR

Far-infrared

FT

Fourier transform

h

Lateral depletion length

k

Substrate wavevector

k0

Free space wavevector

k*

Wavegilde wavevector

l

Lacalization length of the edge magnetoplasmon

LN

Conversion loss on harmonic N

L

Depolization tensor

L

Depolization factor in x- and y-direction

m

Harmonic index

m*

Effective mass

n

Harmonic index; index of refraction

n(ρ)

Density fluctuation

ns

Two-dimensional carrier density

nv

Three-dimensional carrier density

P

Dipole moment

p

Polarization

q

Plasmon wavevector

Q

Quality factor

QHE

Quantum-Hall-effect

ρ

Reflection coefficient

t

Transmission coefficient matrix

Txx

Diagonal transmission

Txy

Hall-transmission

vF

Fermi velocity

ž

Unit vector in z-direction

Z0

Free-space impedance

Z*

Waveguide impedance

2DES

Two-dimensional electron system

Δω

Linewidth

Δxy

Laplace’s operator in two dimensions

ε

Dielectric constant

ε0

Vacuum permitivity

λF

Fermi wavelength

λ

Wavelength in substrate

λ0

Free space wavelength

μ

Mobility

μ0

Vacuum permeability

Φ

Scalar (electrostatic) potential; phase

σ

Magneto-conductivity tensor

σext

Magneto-conductivity tensor with respect to the external field

σ0

DC-Drude conductivity at B=0

τ

Momentum relaxation time

ξ

lattice tensor

ωc

Cyclotron frequency

ωnm

Frequencies of plasma modes with radial and azimuthal index n and m

ωp

Plasma frequency of the 2D electron gas

ωp,3D

Plasma frequency of the 3D electron gas

ωx, ωy

Fundamental plasma frequencies for polarization in x- and y- direction

ω0

Fundamental plasma frequency; frequency of the harmonic oscillator

ω±

Frequency of upper and lower fundamental magnetoplasma mode

Ω0

Normalizing frequency

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 6.1
    S.M. Sze (ed).: High-Speed Semiconductor Devices (Wiley, New York 1990)Google Scholar
  2. 6.2
    J.-F. Luy, P. Russer (eds.): Silicon-Based Millimeter-Wave Devices, Springer Ser. Electron. Photon., Vol. 32 (Springer, Berlin, Heidelberg 1994)Google Scholar
  3. 6.3
    R.J. Bell: Introductory Fourier Transform Spectroscopy (Academic, New York 1972)Google Scholar
  4. 6.4
    E. Batke, D. Heitmann: Infrared Phys. 24, 189 (1984)CrossRefADSGoogle Scholar
  5. 6.5
    W. Hansen: In Quantum Coherence in Mesoscopic Systems, ed. by B. Kramer, J.E. Mooj, A. MacKinnon, R.A. Webb (Plenum, New York 1990) pp. 23–41Google Scholar
  6. 6.6
    J.P. Kotthaus: In Frontiers of Optical Phenomena in Semiconductor Structures of Reduced Dimensions, ed. by D.J. Lockwood (Kluwer, Dordrecht 1993) pp. 245–264Google Scholar
  7. 6.7
    P. Goy, M. Gross, J.M. Raimond, J.C. Buisson: Ann. Télécommun. 43, 331 (1988)Google Scholar
  8. 6.8
    R.K. Hoffmann: Integrierte Mikrowellenschaltungen (Springer, Berlin, Heidelberg 1983)Google Scholar
  9. 6.9
    A. Wittlin, M.E. Boonman, J.C. Maan: Unpublished (1993) M.E.J. Boonman: Millimeter wave spectroscopy in high magnetic fields, Dissertation, University of Nijmegen (1998)Google Scholar
  10. 6.10
    T. Ando, A.B. Fowler, F. Stern: Rev. Mod. Phys. 54, 437 (1982)CrossRefADSGoogle Scholar
  11. 6.11
    D.C. Tsui, S.J. Allen Jr, R.A. Logan, A. Kamgar, S.N. Coppersmith: Surf. Sci. 73, 419 (1978)CrossRefADSGoogle Scholar
  12. 6.12
    G. Abstreiter, J.P. Kotthaus, J.F. Koch, G. Dorda: Phys. Rev. B 14, 2480 (1976)CrossRefADSGoogle Scholar
  13. 6.13
    J.F. Koch: Surf. Sci. 58, 104 (1976)CrossRefADSGoogle Scholar
  14. 6.14
    K.W. Chiu, T.K. Lee, J.J. Quinn: Surf. Sci. 58, 182 (1976)CrossRefADSGoogle Scholar
  15. 6.15
    R. Meisls, F. Kurchar Z. Physik 67, 199 (1987)Google Scholar
  16. 6.16
    Xu Shanjia, Wu Xinzhang, P. Boege, H. Schäfer, C.R. Becker, R. Geick: Int’l J. Infrared and Millimeter Waves 14, 2155 (1993)CrossRefADSGoogle Scholar
  17. 6.17
    F. Brinkop: Mikrowelleneigenschaften niederdimensionaler Elektronensysteme in AlGaAs/GaAs-Heterostrukturen, Dissertation, Universität München (1993)Google Scholar
  18. 6.18
    F. Kuchar, R. Meisls, G. Weimann, W. Schlapp: Phys. Rev. B 33, 2965 (1986) F. Kuchar: Int’l J. Mod. Phys. B 3, 1129 (1989)CrossRefADSGoogle Scholar
  19. 6.19
    L.A. Galchenkov, I.M. Grodnenskii, M.V. Kostovetskii, O.R. Matov: Pis’ma Zh. Eksp. Teor. Fiz. 46, 430 (1987) [JETP Lett. 46, 542 (1987)]ADSGoogle Scholar
  20. 6.20
    O. Vieweger, K.B. Efetov: In High Magnetic Fields in Semiconductor Physics III, ed. by G. Landwehr, Springer Ser. Solid-State Sci. Vol. 101 (Springer, Berlin, Heidelberg 1992)Google Scholar
  21. 6.21
    F. Stern: Phys. Rev. Lett. 18, 546 (1967)CrossRefADSGoogle Scholar
  22. 6.22
    C.C. Grimes, G. Adams: Phys. Rev. Lett. 36, 145 (1976)CrossRefADSGoogle Scholar
  23. 6.23
    S.J. Allen Jr., D.C. Tsui, R.A. Logan: Phys. Rev. Lett. 38, 980 (1977) T.N. Theis, J.P. Kotthaus, P.J. Stiles: Solid State Commun. 24, 273 (1977)CrossRefADSGoogle Scholar
  24. 6.24
    A.L. Fetter: Ann. Phys. (N.Y.) 81, 367 (1973)CrossRefADSGoogle Scholar
  25. 6.25
    J.D. Jackson: Classical Electrodynamics (de Gruyter, Berlin 1983) p. 581Google Scholar
  26. 6.26
    A.V. Chaplik: Surf. Sci. Rpts. 5, 289 (1985)CrossRefGoogle Scholar
  27. 6.27
    J. Dempsey, B.I. Halperin: Phys. Rev. B 45, 1719 (1992)CrossRefADSGoogle Scholar
  28. 6.28
    V.A. Volkov, S.A. Mikhailov: Zh. Eksp. Teor. Fiz. 94, 217 (1988) [Sov. Phys. JETP 67, 1639 (1988)]ADSGoogle Scholar
  29. 6.29
    V.A. Volkov, S.A. Mikhailov: In Landau Level Spectroscopy, ed. by G. Landwehr, E.I. Rashba (Elsevier, Amsterdam 1991)Google Scholar
  30. 6.30
    A.L. Fetter: Phys. Rev. B 33, 5221 (1986); and ibid. B 32, 7676 (1985)CrossRefADSGoogle Scholar
  31. 6.31
    F.A. Reboredo, C.R. Proetto: Phys. Rev. B 53, 12617 (1996) C.R. Proetto: Phys. Rev. B 46, 16174 (1992)CrossRefADSGoogle Scholar
  32. 6.32
    H.L. Cui, V. Fessatidis, O. Kühn: Superlattices and Microstructures 17, 173 (1995)CrossRefADSGoogle Scholar
  33. 6.33
    G. Eliasson, J.-W. Wu, P. Hawrylak, J.J. Quinn: Solid State Commun. 60, 41 (1986)CrossRefADSGoogle Scholar
  34. 6.34
    E. Zaremba, H.C. Tso: Phys. Rev. B 49, 8147 (1994)CrossRefADSGoogle Scholar
  35. 6.35
    W. Kohn: Phys. Rev. 123, 1242 (1961)CrossRefADSzbMATHGoogle Scholar
  36. 6.36
    L. Brey, N.F. Johnson, B.I. Halperin: Phys. Rev. B 40, 10647 (1989)CrossRefADSGoogle Scholar
  37. 6.37
    P.A. Maksym, T. Chakraborty: Phys. Rev. Lett. 65, 108 (1990)CrossRefADSGoogle Scholar
  38. 6.38
    W. Hansen, T.P. Smith III, K.Y. Lee, J.A. Brum, C.M. Knoedler, J.M. Hong, D.P. Kern: Phys. Rev. Lett. 62, 2168 (1989)CrossRefADSGoogle Scholar
  39. 6.39
    P.L. McEuen, E.B. Foxman, U. Meirav, M.A. Kastner, Y. Meir, N.S. Wingreen S.J. Wind: Phys. Rev. Lett. 66, 1926 (1991)CrossRefADSGoogle Scholar
  40. 6.40
    R.L. Leavitt, J.W. Little: Phys. Rev. B 34, 2450 (1986)CrossRefADSGoogle Scholar
  41. 6.41
    V.I. Talyanskii: Zh. Eksp. Teor. Fiz 92, 1845 (1987) [Sov. Phys.-JETP 65, 1036 (1987)]ADSGoogle Scholar
  42. 6.42
    B.A. Wilson, S.J. Allen Jr., D.C. Tsui: Phys. Rev. B 24, 5887 (1981)CrossRefADSGoogle Scholar
  43. 6.43
    S.A. Govorkov, M.I. Reznikov, B.K. Medvedev, V.G. Mokerov, A.P. Senichkin, V.I. Talyanskii: Pis’ma Zh. Eksp. Teor. Fiz. 45, 252 (1987) [JETP Lett. 45, 316 (1987)]Google Scholar
  44. 6.44
    V. Gudmundsson, R.R. Gerhardts: Phys. Rev. B 43, 12098 (1991)CrossRefADSGoogle Scholar
  45. 6.45
    S.J. Allen Jr., H.L. Störmer, J.C.M. Hwang: Phys. Rev. B 28, 4875 (1983)CrossRefADSGoogle Scholar
  46. 6.46
    D.B. Mast, A.J. Dahm, A.L. Fetter: Phys. Rev. Lett. 54, 1706 (1985) D.C. Glattli, E.Y. Andrei, G. Deville, J. Poitrenaud, F.I.B. Williams: Phys. Rev. Lett. 54, 1710 (1985)CrossRefADSGoogle Scholar
  47. 6.47
    D. Heitmann, J.P. Kotthaus: Phys. Today 46, 56 (June 1993)CrossRefGoogle Scholar
  48. 6.48
    D.B. Shklovskii, B.I. Shklovskii, L.I. Glazman: Phys. Rev. B 46, 4026 (1992)CrossRefADSGoogle Scholar
  49. 6.49
    B.Y. Gelfand, B.I. Halperin: Phys. Rev. B 49, 1862 (1994)CrossRefADSGoogle Scholar
  50. 6.50
    L.A. Galchenkov, I.M. Grodnenskii, M.V. Kostovetskii, O.R. Matov: Pis’ma Zh. Eksp. Teor. Fiz. 46, 430 (1987) [JETP Lett. 46, 542 (1987)]ADSGoogle Scholar
  51. 6.51
    F. Brinkop, C. Dahl, J.P. Kotthaus, G. Weimann, W. Schlapp: In High Magnetic Fields in Semiconductor Physics III, ed. by G. Landwehr. Springer Ser. Solid-State Sci., Vol. 101 (Springer, Berlin, Heidelberg 1992)Google Scholar
  52. 6.52
    C. Dahl, S. Manus, J.P. Kotthaus, H. Nickel, W. Schlapp: Appl. Phys. Lett. 66, 2271 (1995)CrossRefADSGoogle Scholar
  53. 6.53
    K.K. Choi, D.C. Tsui, K. Alavi: Appl. Phys. Lett. 50, 110 (1987)CrossRefADSGoogle Scholar
  54. 6.54
    I. Grodnenskii, D. Heitmann, K. v. Klitzing: Phys. Rev. Lett. 67, 1019 (1991)CrossRefADSGoogle Scholar
  55. 6.55
    M. Wassermeier, J. Oshimowo, J.P. Kotthaus, A.H. MacDonald, C.T. Foxon, J.J. Harris: Phys. Rev. B 41, 10287 (1990)CrossRefADSGoogle Scholar
  56. 6.56
    C. Dahl, J.P. Kotthaus, H. Nickel, W. Schlapp: Phys. Rev. B 48, 15480 (1993)CrossRefADSGoogle Scholar
  57. 6.57
    P.J.M. Peters, P.K.H. Sommerfeld, S. van der Berg, P.P. Steijaert, R.W. van der Heijden, A.T.A.M. de Waele: Physica B 204, 105 (1995)CrossRefADSGoogle Scholar
  58. 6.58
    D. Weiss, K. Richter, E. Vasiliadou, G. Lütjering: Surf. Sci. 305, 408 (1994)CrossRefADSGoogle Scholar
  59. 6.59
    K. Ensslin, P.M. Petroff: Phys. Rev. B 41, 12307 (1990)CrossRefADSGoogle Scholar
  60. 6.60
    K. Kern, D. Heitmann, P. Grambow, Y.H. Zhang, K. Ploog: Phys. Rev. Lett. 66, 1618 (1991)CrossRefADSGoogle Scholar
  61. 6.61
    E. Zaremba: Phys. Rev. B 53, 10512 (1996)CrossRefADSGoogle Scholar
  62. 6.62
    C. Dahl, F. Brinkop, A. Wixforth, J.P. Kotthaus, J.H. English, M. Sundaram: Solid State Commun. 80, 673 (1991)CrossRefADSGoogle Scholar
  63. 6.63
    C. Dahl: Plasmaresonanzen in zweidimensionalen Elektronenscheiben auf GaAs. Fortschritt-Berichte (VDI, Düsseldorf 1993) Ser. 0, Vol. 165Google Scholar
  64. 6.64
    C. Dahl, J.P. Kotthaus, H. Nickel, W. Schlapp: Phys. Rev. B 46, 15590 (1992)CrossRefADSGoogle Scholar
  65. 6.65
    P. Bakshi, D.A. Broido, K. Kempa: J. Appl. Phys. 70, 5150 (1991)CrossRefADSGoogle Scholar
  66. 6.66
    R. Landauer: In Electrical Transport and Optical Properties of Inhomogeneous Media, ed. by J.C. Garland, D.B. Tanner (AIP, New York 1978)Google Scholar
  67. 6.67
    A.O. Govorov, A.V. Chaplik: J. Phys. Condens. Matter 6, 6507 (1994)CrossRefADSGoogle Scholar
  68. 6.68
    E. Wigner: Phys. Rev. 46, 1002 (1934)CrossRefADSzbMATHGoogle Scholar
  69. 6.69
    C.C. Grimes, G. Adams: Phys. Rev. Lett. 42, 795 (1979)CrossRefADSGoogle Scholar
  70. 6.70
    P.D. Tongaw, C.S. Lent: J. Appl. Phys. 75, 1818 (1994)CrossRefADSGoogle Scholar
  71. 6.71
    R.A. Wyss, C.C. Eugster, J.A. del Alamo, Q. Hu, M.J. Rooks, M.R. Melloch: Appl. Phys. Lett. 66, 1144 (1995)CrossRefADSGoogle Scholar
  72. 6.72
    L.P. Kouwenhoven, S. Jauhar, J. Orenstein, P.L. McEuen, Y. Nagamune, J. Motohisa, H. Sakaki: Phys. Rev. Lett. 73, 3443 (1994)CrossRefADSGoogle Scholar
  73. 6.73
    R.C. Ashoori, H.L. Störmer, L.N. Pfeiffer, K.W. Baldwin, K. West: Phys. Rev. B 45, 3894 (1992)CrossRefADSGoogle Scholar
  74. 6.74
    R.E. Collin: Grundlagen der Mikrowellentechnik (VEB Verlag Technik, Berlin 1973)Google Scholar
  75. 6.75
    M. Wagner, A.V. Chaplik, U. Merkt: Phys. Rev. B 51, 13817 (1995)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Claus Dahl
  • Philippe Goy
  • Jörg P. Kotthaus

There are no affiliations available

Personalised recommendations