Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-02-04
Phys. Rev. B 71, 035329 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 1 figure
Scientific paper
10.1103/PhysRevB.71.035329
We calculate the dispersion of the out-of-phase mode characteristic for the bilayer nu = 1 quantum Hall system applying the version of Chern-Simons theory of Murthy and Shankar that cures the unwanted bare electron mass dependence in the low-energy description of quantum Hall systems. The obtained value for the mode when d, distance between the layers, is zero is in a good agreement with the existing pseudospin picture of the system. For d nonzero but small we find that the mode is linearly dispersing and its velocity to a good approximation depends linearly on d. This is in agreement with the Hartree-Fock calculations of the pseudospin picture that predicts a linear dependance on d, and contrary to the naive Hartree predictions with dependence on the square-root of d. We set up a formalism that enables one to consider fluctuations around the found stationary point values. In addition we address the case of imbalanced layers in the Murthy-Shankar formalism.
Milovanović Milica V.
Stanic Ivan
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