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Magnetoconductance Oscillations Linear in ΔB In Semiconductor Surface Superlattices

  • D. K. Ferry
  • Jun Ma
  • R. A. Puechner
  • W.-P. Liu
  • R. Mezenner
  • A. M. Kriman
  • G. N. Maracas
Part of the NATO ASI Series book series (NSSB, volume 231)

Abstract

In the past decade, a number of experiments performed in thin metal and semiconductor films have demonstrated the possibility of observing quantum interference of electrons within condensed matter. Particularly convincing demonstrations have come from experiments in multiply-connected structures, for which the Aharonov-Bohm effect can be observed in magnetoresistance measurements of doubly-connected, one-dimensional rings whose characteristic lengths are shorter than the inelastic mean free path, or the diffusion length, of the electrons in metals (Webb et al., 1985; Chandrasekhar et al., 1985; Washburn and Webb, 1985) and semiconductors (Timp et al., 1987a; Ford et al., 1988; Ishibashi et al., 1987b; Mankiewich et al., 1988). Here, oscillations in the magnetoresistance are observed that arise from phase interference among topologically inequivalent paths (e.g. around opposite arms of a ring). The large majority of experiments demonstrating these effects have involved topologies with one or a relatively small number of individual rings (Umbach et al., 1986).

Keywords

Free Path Weak Localization Negative Magnetoresistance Hall Voltage Conductance Fluctuation 
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.

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References

  1. Altshuler, B. L., Khmelnitskii, D. E., Larkin, A. I., Lee, P. A., 1980, Magnetoresistance and Hall Effect in a Disordered Two-Dimensional Electron Gas, Phys. Rev. B 22: 5142.ADSCrossRefGoogle Scholar
  2. Benoit, A., Umbach, C. P., Laibowitz, R. B., Webb, R. A., 1987, Length Independent Voltage Fluctuations in Small Devices, Phys. Rev. Lett. 58: 2343.ADSGoogle Scholar
  3. Bernstein, G., Ferry, D. K., 1986, Fabrication of Ultra-Short Gate MESFETs and BlochFETs by Electron-Beam Lithography, Superlatt. Microstructures 2: 373.ADSGoogle Scholar
  4. Brinkup, F., Hansen, W., Kotthaus, J. P., Ploog, K., 1988, One-dimensional Subbands of Narrow electron Channels in Gated AlxGai-xAs/GaAs Heterojunctions, Phys. Rev. B 37: 6547.ADSCrossRefGoogle Scholar
  5. Chakravarty, S., Schmid, A., 1986, Weak Localization: The Quasiclassical Theory of Electrons in a Random Potential, Phys. Repts. 140: 193.Google Scholar
  6. Chandrasekhar, V., Rooks, M. J., Wind, S., Prober, D. E., 1985, Observation of Aharonov-Bohm Interference Effects with Periods h/e and h/2e in Individual Micron- Size, Normal-Metal Rings, Phys. Rev. Lett. 55: 1610.Google Scholar
  7. Feng, S., Lee, P. A., Stone, A. D., 1986, Sensitivity of the Conductance of a Disordered Metal to the Motion of a Single Atom: Implications for 1/f Noise, Phys. Rev. Lett. 56: 1960.Google Scholar
  8. Ferry, D. K., Bernstein, G., Puechner, R. A., Ma, J., Kriman, A. M., Mezenner, R., Liu, W.-P., Maracas, G. N., Chamberlin, R., 1989, Magnetoconductance in Lateral Surface Superlattices, in “High Magnetic Fields in Semiconductors II,” Ed. by G. Landwehr (Springer-Verlag, Heidelberg, in press).Google Scholar
  9. Ford, C. J. B., Thornton, T. J., Newbury, R., Pepper, M., Ahmed, H., Foxon, C. T., Harris, J. J., Roberts, C., 1988, The Aharonov-Bohm effect in electrostatically defined heterojunction rings, J. Phys. C 21: L325.Google Scholar
  10. Fowler, A. B., Hartstein, A., Webb, R. A., 1982, Conductance in Restricted Dimensionality Accumulation Layers, Phys. Rev. Lett. 48: 196.ADSGoogle Scholar
  11. Gerhardts, R. R., Weiss, D., v. Klitzing, K., 1989, Novel Magnetoresistance Oscillations in a Periodically Modulated Two-Dimensional Electron Gas, Phys. Rev. Lett. 62: 1173.ADSCrossRefGoogle Scholar
  12. Hiramoto, T., Hirakawa, K., Iye, Y., Ikoma, T., 1987, One-Dimensional GaAs wires fabricated by focused ion beam implantation, Appl. Phys. Lett. 51: 1620.Google Scholar
  13. Hofstadter, D. R., 1976, Energy Levels and Wave Functions of Bloch Electrons in Rational and Irrational Magnetic Fields, Phys. Rev. B 14: 2239.Google Scholar
  14. Ishibashi, K., Nagate, N., Gamo, K., Namba, S., Ishida, S., Murase, K., Kawabe, M., Aoyagi, Y., 1987a, Universal Magnetoconductance Fluctuations in Narrow n+GaAs Wires, Sol. State Commun. 61: 385.Google Scholar
  15. Ishibashi, K., Takagaki, Y., Gamo, K., Namba, S., Ishida, S., Murase, K., Aoyagi, Y., Kawabe, M., 1987b, Observation of Aharonov-Bohm Magnetoresistance Oscillations in Selectively Doped GaAs-AlGaAs Submicron Structures, Sol. State Commun. 64: 573.Google Scholar
  16. Lee, P. A., Fisher, D. S., 1981, Anderson Localization in Two Dimensions, Phys. Rev. Lett. 47: 882.ADSGoogle Scholar
  17. Lee, P. A., Stone, A. D., 1985, Universal Conductance Fluctuations in Metals, Phys. Rev. Lett. 55: 1622.Google Scholar
  18. Lee, P. A., Stone, A. D., Fukuyama, H., 1987, Universal Conductance Fluctuations in Metals: Effects of Finite Temperature, Interactions, and Magnetic Field, Phys. Rev. B 35: 1039.Google Scholar
  19. Licini, J. C., Bishop, D. J., Kastner, M. A., Melngailis, J., 1985, Aperiodic Magnetoresistance Oscillations in Narrow Inversion Layers in Si, Phys. Rev. Lett. 55: 2987.ADSGoogle Scholar
  20. Mankiewich, P. M., Behringer, R. E., Howard, R. E., Chang, A. M., Chang, T. Y., Chelluri, B., Cunningham, J., Timp, G., 1988, Observation of Aharonov- Bohm Effect in Quasi-one-dimensional GaAs/AlGaAs Rings, J. Vac. Sci. Technol. B 6: 131.CrossRefGoogle Scholar
  21. Mezenner, R., 1988, Ph.D. Thesis, Arizona State University, unpublished.Google Scholar
  22. Pepper, M., 1977, A Metal-Insulator Transition in the Impurity Band of n-Type GaAs Induced by Loss of Dimension, J. Phys. C 10: L173.Google Scholar
  23. Puechner, R. A., Kriman, A. M., Bernstein, G., Liu, W.-P., Ma, J., Ferry, D. K., Maracas, G.N., 1989, Conductance Oscillations in Lateral Surface Superlattices, in “GaAs and Related Compounds 1988, ”(Amer. Inst. Phys., in press).Google Scholar
  24. Reich, R. K., Grondin, R. O., Ferry, D. K., 1983, Transport in Lateral Surface Superlattices, Phys. Rev. B 27: 3483.Google Scholar
  25. Rauh, A., Wannier, G. H., and Obermair, G., 1974, Bloch Electrons in Irrational MagneticGoogle Scholar
  26. Fields, Phys. Stat. Sol. (b) 63: 215.Google Scholar
  27. Skocpol, W. J., Mankiewich, P. M., Howard, R. E., Jackel, L. D., Tennant, D. M., and Stone, A. D., 1986, Universal Conductance Fluctuations in Silicon Inversion-Layer Nanostructures, Phys. Rev. Lett. 56: 2865.Google Scholar
  28. Stone, A. D., 1985, Magnetoresistance Fluctuations in Mesoscopic Wires and Rings, Phys. Rev. Lett. 54: 2692.ADSGoogle Scholar
  29. Thouless, D. J., 1984, Quantized Hall Effect in Two-Dimensional Periodic Potentials, Phys. Repts. 110: 279.Google Scholar
  30. Thouless, D. J., Kirkpatrick, S., 1981, Conductivity of the Disordered Linear Chain, J. Phys. C 14: 235.ADSGoogle Scholar
  31. Thouless, D. J., Kohmoto, M., Nightingale, M. P., den Nijs, M., 1982, Quantized Hall Conductance in a Two-Dimensional Periodice Potential, Phys. Rev. Lett. 49: 405.ADSGoogle Scholar
  32. Timp, G., Chang, A. M., Cunningham, J. E., Chang, T. Y., Mankiewich, P., Behringer, R., Howard, R. E., 1987a, Observation of the Aharonov-Bohm Effect, Phys. Rev. Lett. 58: 2814.ADSCrossRefGoogle Scholar
  33. Timp, G., Chang, A. M., Mankiewich, P., Behringer, R., Cunningham, J. E., Chang, T. Y., Howard, R. E., 1987b, Quantum Transport in an Electron-Wave Guide, Phys. Rev. Lett. 59: 732.Google Scholar
  34. Umbach, C. P., Washburn, S., Laibowitz, R. B., Webb, R. A., 1984, Magnetoresistance of Small, Quasi-One-Dimensional, Normal-Metal Rings and Lines, Phys. Rev. B 30: 4048.ADSCrossRefGoogle Scholar
  35. Umbach, C. P., Van Haesendonck, C., Laibowitz, R. B., Washburn, S., Webb, R. A., 1986, Direct Observation of Ensemble Averaging of the Aharonov-Bohm Effect in Normal-Metal Loops, Phys. Rev. Lett. 56: 386.ADSGoogle Scholar
  36. Washburn, S., Webb, R. A., 1986, Aharonov-Bohm effect in normal metal Quantumcoherence and transport, Adv. Phys. 35: 375.Google Scholar
  37. Webb, R. A., Washburn, S., Umbach, C., and Laibowitz, R. A., 1985, Observation of hie Aharonov-Bohm Oscillations in Normal-Metal Rings, Phys. Rev. Lett. 54: 2696.ADSGoogle Scholar
  38. Winkler, R. W., Kotthaus, J. P., Ploog, K., 1989, Landau-Band Conductivity in a Two-Dimensional Electron System Modulated by an Artificial One-Dimensional Superlattice Potential, Phys. Rev. Lett. 62: 1177.ADSGoogle Scholar
  39. Whittington, G. P., Main, P. C., Eaves, L., Taylor, R. P., Thorns, S., Beaumont, S. P., Wilkinson, C. D. W., Stanley, C. R., Frost, J., 1986, Universal Conductance Fluctuations in the Mgnetoresistance of Submicron n+GaAs Wires, Superlatt. Microstruc. 2: 381.Google Scholar
  40. Zak, J., 1964, Magnetic Translation Group, Phys. Rev. 134: A1602; 134: A1607.MathSciNetCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • D. K. Ferry
    • 1
    • 2
  • Jun Ma
    • 1
    • 2
  • R. A. Puechner
    • 1
    • 2
  • W.-P. Liu
    • 1
    • 2
  • R. Mezenner
    • 1
    • 2
  • A. M. Kriman
    • 1
    • 2
  • G. N. Maracas
    • 1
    • 2
  1. 1.Department of Electrical and Computer EngineeringArizona State UniversityTempeUSA
  2. 2.Center for Solid State Electronics ResearchArizona State UniversityTempeUSA

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