Trial wavefunctions for the Goldstone mode in ν=1/2+1/2 quantum Hall bilayers

Abstract

Based on the known physics of the excitonic superfluid or 111 state of the quantum Hall ν=1/2+1/2 bilayer, we create a simple trial wavefunction ansatz for constructing a low energy branch of (Goldstone) excitations by taking the overall ground state and boosting one layer with respect to the other. This ansatz works extremely well for any interlayer spacing. For small d this is simply the physics of the Goldstone mode, whereas for large d this is a reflection of composite fermion physics. We find hints that certain aspects of composite fermion physics persist to low d whereas certain aspects of Goldstone mode physics persist to high d. Using these results we show nonmonotonic behavior of the Goldstone mode velocity as a function of d.

arXiv comment6 pages, 4 figures

References in corpus (15)

• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing
• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Activated Transport in the individual Layers that form the ${\nu }_T$=1 Exciton Condensate
• Strong Correlation to Weak Correlation Phase Transition in Bilayer Quantum Hall Systems
• Spontaneous Interlayer Coherence in Double-Layer Quantum Hall Systems: Symmetry Breaking Interactions, In-Plane Fields and Phase Solitons
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Spin Degree of Freedom in the nu =1 Bilayer Electron System Investigated via Nuclear Spin Relaxation
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Evidence for a finite temperature phase transition in a bilayer quantum Hall system
• Ground State of v=1 Bilayer Quantum Hall Systems
• Skyrmions in the Moore-Read state at nu=5/2
• Interaction and disorder in bilayer counterflow transport at filling factor one

Cited by in corpus (4)

• Composite fermion duality for half-filled multicomponent Landau Levels
• Meron deconfinement in the quantum Hall bilayer at intermediate distances
• Josephson Coupled Moore-Read States
• Successive electron-vortex binding in quantum Hall bilayers at $\nu =\frac{1}{4}+\frac{3}{4}$