Quantum Hall bilayer in dipole representation

Abstract

The quantum Hall bilayer (QHB) at filling factor $\nu =1$ represents a competition between Bose-Einstein condensation (BEC) at small distances between layers and fermionic condensation, whose influence grows with distance and results in two separate Fermi liquid states for the underlying quasiparticles at very large (or infinite) distances. The question that can be raised is whether, at intermediate distances between layers, a distinct phase exists, or if a singular transition occurs, with the possibility that this happens at infinite distances. Here, using a dipole representation for fermionic quasiparticles, we find support for the latter scenario: Within a large and relevant range of distances, BEC condensation, identified as Cooper $s$-wave pairing of dipole quasiparticles, prevails over both Cooper $p$-wave pairing and $s$-wave excitonic pairing of the same quasiparticles.

8 pages, 1 figure

References in corpus (11)

• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Composite fermion duality for half-filled multicomponent Landau Levels
• Coherent Tunneling in Exciton Condensates of Bilayer Quantum Hall Systems
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
• Microscopic derivation of Dirac composite fermion theory: Aspects of noncommutativity and pairing instabilities
• Finite-momentum condensate of magnetic excitons in a bilayer quantum Hall system
• Quantum disordering of the 111 state and the compressible-incompressible transition in quantum Hall bilayer systems
• Dipole representation of half-filled Landau level

Cited by in corpus (3)

• Beyond-mean-field phases of rotating dipolar condensates
• On dualities of paired quantum Hall bilayer states at ${\nu }_T=\frac{1}{2}+\frac{1}{2}$
• Dipole representation of composite fermions in graphene quantum Hall systems