Open AccessCompressibility in the integer Quantum Hall Effect within Hartree‐Fock approximation
Author(s) -
Sohrmann Christoph,
Römer Rudolf A.
Publication year - 2006
Publication title -
physica status solidi c
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 46
eISSN - 1610-1642
pISSN - 1862-6351
DOI - 10.1002/pssc.200562744
Subject(s) - quantum hall effect , mesoscopic physics , electron , fractional quantum hall effect , physics , compressibility , hartree , condensed matter physics , quantum mechanics , conductance , fermi gas , gaussian , quantum , quantum spin hall effect , thermodynamics
Electron‐electron interactions seem to play a surprisingly small role in the description of the integer quantum Hall effect, considering that for just slightly different filling factors the interactions are of utmost importance causing the interaction‐mediated fractional quantum Hall effect. However, recent imaging experiments by Cobden et al. (Phys. Rev. Lett. 82 , 4695 (1999)) [1] and Ilani et al. (Nature 427 , 328 (2004)) [2] constitute strong evidence for the importance of electron‐electron interactions even in the integer effect. The experiments report on measurements of the conductance and electronic compressibility of mesoscopic MOSFET devices that show disagreement with predictions from the single particle model. By diagonalising a random distribution of Gaussian scatterers and treating the interactions in Hartree‐Fock approximation we investigate the role of electron‐electron interactions for the integer quantum Hall effect and find good agreement with the experimental results. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)