A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Ground State
Abstract As mentioned previously, in the earlier investigations of the FQHE the crucial question was the nature of the ground state. As the GaAs-heterostructures where the FQHE was discovered have very high electron mobility, and because of the subsequent discovery of the FQHE only in high-mobility Si-MOSFETs, the Coulomb interaction between electrons was quite naturally expected to play a dominant role in the FQHE. The earliest numerical calculation of the ground state including Coulomb interactions for various filling fractions was by Yoshioka et al. [5.1]. They investigated the eigen-states of an electron system in a periodic rectangular geometry, by numerically diagonalizing the Hamiltonian. Their results, as we shall discuss in the following section, revealed several interesting features; the most important result was, of course, that the ground state had a significantly lower energy than that of a Hartree-Fock (HF) Wigner crystal.
Ground State
Abstract As mentioned previously, in the earlier investigations of the FQHE the crucial question was the nature of the ground state. As the GaAs-heterostructures where the FQHE was discovered have very high electron mobility, and because of the subsequent discovery of the FQHE only in high-mobility Si-MOSFETs, the Coulomb interaction between electrons was quite naturally expected to play a dominant role in the FQHE. The earliest numerical calculation of the ground state including Coulomb interactions for various filling fractions was by Yoshioka et al. [5.1]. They investigated the eigen-states of an electron system in a periodic rectangular geometry, by numerically diagonalizing the Hamiltonian. Their results, as we shall discuss in the following section, revealed several interesting features; the most important result was, of course, that the ground state had a significantly lower energy than that of a Hartree-Fock (HF) Wigner crystal.
Ground State
Professor Chakraborty, Tapash (author) / Dr. Pietiläinen, Pekka (author)
Second Enlarged and Updated Edition
1995-01-01
48 pages
Article/Chapter (Book)
Electronic Resource
English