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

Abstract

We develop a non-perturbative bosonization approach for bilayer quantum Hall systems at ν_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.

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

References in corpus (9)

• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Activated Transport in the individual Layers that form the ${\nu }_T$=1 Exciton Condensate
• Microscopic Functional Integral Theory of Quantum Fluctuations in Double-Layer Quantum Hall Ferromagnets
• Coherence Network in the Quantum Hall Bilayer
• Deconfinement and Dissipation in Quantum Hall "Josephson" Tunneling
• Lowest Landau level bosonization

Cited by in corpus (19)

• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Precursors to Exciton Condensation in Quantum Hall Bilayers
• Quantum Hall ferromagnetism in graphene: a SU(4) bosonization approach
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
• Flat-band ferromagnetism in a topological Hubbard model
• Wave Function and Emergent SU(2) Symmetry in ${\nu }_T=1$ Quantum Hall Bilayer
• Finite-momentum condensate of magnetic excitons in a bilayer quantum Hall system
• Quantum Hall to Insulator Transition in the Bilayer Quantum Hall Ferromagnet
• Wavefunctional approach to the bilayer ν=1 system and a possibility for a double non-chiral pseudospin liquid
• Pairing of Composite-Electrons and Composite-Holes in ${\nu }_T=1$ Quantum Hall Bilayers
• Bilayer quantum Hall system at ${\nu }_t=1$: pseudospin models and in-plane magnetic field
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Quantum Hall Bilayer as Pseudospin Magnet
• Quantum Hall bilayer in dipole representation
• Single-parameter variational wavefunctions for quantum Hall bilayers
• On dualities of paired quantum Hall bilayer states at ${\nu }_T=\frac{1}{2}+\frac{1}{2}$
• Excitonic gap generation in thin-film topological insulators
• Bose condensation of squeezed light