A bosonization approach for bilayer quantum Hall systems at ν_T = 1

Details A bosonization approach for bilayer quantum Hall systems at ν_T = 1 A bosonization approach for bilayer quantum Hall systems at ν_T = 1

2005-11-13

arxiv.org/abs/cond-mat/0511315v2

Phys. Rev. Lett. 97, 186401 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, the effect of a finite electron interlayer tunnelling is included

Scientific paper

10.1103/PhysRevLett.97.186401

We develop a non-perturbative bosonization approach for bilayer quantum Hall systems at \nu_T = 1, which allows us to systematically study the existence of an exciton condensate in these systems. An effective boson model is derived and the excitation spectrum is calculated both in the Bogoliubov and in the Popov approximations. In the latter case, we show that the ground state of the system is an exciton condensate only when the distance between the layers is very small compared to the magnetic length, indicating that the system possibly undergoes another phase transition before the incompressible-compressible one. The effect of a finite electron interlayer tunnelling is included and a quantitative phase diagram is proposed.

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