Composite bosons in bilayer nu = 1 system: An application of the Murthy-Shankar formalism

Abstract

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.

arXiv comment10 pages, 1 figure

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Cited by in corpus (3)

• Spin-excitations of the quantum Hall ferromagnet of composite fermions
• Quantum disordering of the 111 state and the compressible-incompressible transition in quantum Hall bilayer systems
• Wavefunctional approach to the bilayer ν=1 system and a possibility for a double non-chiral pseudospin liquid