Abstract
Energetically stable states are studied for the infinite multilayer quantum Hall system. Two-dimensional incompressible quantum Hall states are stable for appropriate fillings in the limit of infinite interlayer separation, while three-dimensional compressible states are stabilized by interlayer couplings such as tunneling and Coulomb interaction in the case of small separation. Trial states are introduced for typical cases and their Coulomb energies are calculated with use of the variational Monte Carlo method and the Hartree-Fock approximation. On energetical grounds, possible quantum phase transitions are discussed in this system.
Original language | English |
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Pages (from-to) | 142-145 |
Number of pages | 4 |
Journal | Physica B: Condensed Matter |
Volume | 298 |
Issue number | 1-4 |
DOIs | |
Publication status | Published - 2001 Apr 1 |
Keywords
- Compressible states
- Incompressible states
- Multilayer FQH system
- Quantum phase transition
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Electrical and Electronic Engineering