Thomas Ihn
- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199534425
- eISBN:
- 9780191715297
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534425.003.0009
- Subject:
- Physics, Condensed Matter Physics / Materials
This chapter uses a case study of two-dimensional electron gases in heterostructures to illustrate the theoretical concepts put forward in Chapters 7 and 8. The electrostatics and the field effect in ...
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This chapter uses a case study of two-dimensional electron gases in heterostructures to illustrate the theoretical concepts put forward in Chapters 7 and 8. The electrostatics and the field effect in these structures are worked out, and the capacitance between the electron gas and a top-gate is determined. Quantum mechanics is introduced in the approximation of the Fang–Howard variational approach. The theory of linear screening in two-dimensional electron gases is discussed in detail, including the Thomas–Fermi approximation, and the appearance of Friedel oscillations in the electron density. Spin-orbit interaction effects in two-dimensional electron gases are discussed, and finally, the characteristic quantities of two-dimensional electron gases are summarized.Less
This chapter uses a case study of two-dimensional electron gases in heterostructures to illustrate the theoretical concepts put forward in Chapters 7 and 8. The electrostatics and the field effect in these structures are worked out, and the capacitance between the electron gas and a top-gate is determined. Quantum mechanics is introduced in the approximation of the Fang–Howard variational approach. The theory of linear screening in two-dimensional electron gases is discussed in detail, including the Thomas–Fermi approximation, and the appearance of Friedel oscillations in the electron density. Spin-orbit interaction effects in two-dimensional electron gases are discussed, and finally, the characteristic quantities of two-dimensional electron gases are summarized.