Spin-Dependent Exchange and Correlation in Two-Dimensional Electron Layers
Living reference work entry
Definition of the Subject
Since the advent of density functional theory (DFT), the exchange-correlation energy E xc of an interacting system has become a basic quantity in many-particle theory. Here, we study the E xc of two-dimensional (2D) electron layers. Such layers contain electrons confined in z and move only in the x and y directions. 2D layers are formed at insulator–semiconductor interfaces in heterojunctions and more particularly at metal–oxide–semiconductor (MOS) interfaces. These include two types of semiconductors (e.g., GaAs and the alloyed form Al xGa 1 − xAs, containing a small fraction x of Al, and written as AlGaAs for brevity). The interface region defines a “confining potential” where an electron layer may form (Ando et al. 1982). SiO 2 is an insulator with a large bandgap, while Si can be doped in a controlled manner to behave as a conductor. The Si/SiO 2 interface supports the formation of an electron layer at the interface. The electron density nin such layers can be...
KeywordsLandau Level Correlation Energy Quantum Hall Effect Quantum Monte Carlo Electron Layer
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.
- Abramovitz M, Stegun IA. Handbook of mathematical functions. New York: Dover; 1965Google Scholar
- Attaccalite C, Moroni S, Gori-Giorgi P, Bachelet GB (2002) Correlation energy and spin polarization in the 2D electron gas. Phys Rev Lett 88:256601; (2003) Erratum 91:109902Google Scholar
- Chakraborty T. The fractional quantum hall effect. New York: Springer; 1996Google Scholar
- Dharma-wardana MWC (2015) A review of density functional theory and strongly-coupled Coulomb systems since 1977. Contrib. Plasma Phys 55:79Google Scholar
- Liu HC, Song CY, Wasilewski ZR, Springthorpe AJ, Cao JC, Dharma-wardana C, Aers GC, Lockwood DJ, Gupta JA (2003) Coupled electron-phonon modes in optically Pumped resonant intersubband lasers. Phys Rev Lett. 2003;90:077402Google Scholar
- Mahan GD. Many-particle physics. New York: Plenum; 1981.Google Scholar
- Peres NMR, Guinea F, Castro Neto AH (2005) Coulomb interactions and ferromagnetism in pure and doped graphene. Phys Rev 72:174406; Dharma-wardana MWC (2007) Ground state of clean and defective graphene: Coulomb interactions, pair-distribution functions, and spin-polarized phases of massless Dirac fermions. Ibid 75:075427Google Scholar
- Tan YW, Zhu J, Stormer HL, Pfeiffer LN, Baldwin KN, West KW (2005) Measurements of the density-dependent many-body electron mass in 2D GaAs/AlGaAs heterostructures. Cond-matt/0412260. Phys Rev Lett 94:16405Google Scholar
© Springer Science+Business Media New York 2015