Forward scattering approximation and bosonization in integer quantum Hall systems
- International Center for Condensed Matter Physics, Universidade de Brasilia, Caixa Postal 04667, 70910-900 Brasilia-DF (Brazil)
- Laboratorio Nacional de Luz Sincrotron-ABTLuS, Caixa Postal 6192, 13043-090 Campinas-SP (Brazil)
- Instituto de Fisica 'Gleb Wataghin', Universidade Estadual de Campinas, Caixa Postal 6165, 13083-970 Campinas-SP (Brazil)
In this work, we present a model and a method to study integer quantum Hall (IQH) systems. Making use of the Landau levels structure we divide these two-dimensional systems into a set of interacting one-dimensional gases, one for each guiding center. We show that the so-called strong field approximation, used by Kallin and Halperin and by MacDonald, is equivalent, in first order, to a forward scattering approximation and analyze the IQH systems within this approximation. Using an appropriate variation of the Landau level bosonization method we obtain the dispersion relations for the collective excitations and the single-particle spectral functions. For the bulk states, these results evidence a behavior typical of non-normal strongly correlated systems, including the spin-charge splitting of the single-particle spectral function. We discuss the origin of this behavior in the light of the Tomonaga-Luttinger model and the bosonization of two-dimensional electron gases.
- OSTI ID:
- 21077698
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 3 Vol. 323; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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