Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Spin-Dependent Exchange and Correlation in Two-Dimensional Electron Layers

  • M. W. Chandre Dharma-wardana
Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_512-3

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...


Landau Level Correlation Energy Quantum Hall Effect Quantum Monte Carlo Electron Layer 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Institute of Microstructural SciencesNational Research Council of CanadaOttawaCanada