Meron deconfinement in the quantum Hall bilayer at intermediate distances

Abstract

Quantum Hall bilayer phase diagram with respect to interlayer distance bears a remarkable similarity with phase diagrams of strongly correlated systems as a function of doping, with magnetic ordering on the one end and Fermi-liquid-like behaviour on the other. Moreover, it has been suggested [PRL 101, 176803 (2008)] that a BCS correlated state of composite fermions with p-wave pairing may exist in the intermediate region. In the same region, an exact diagonalization study in the torus geometry [PRB 69, 045319 (2004)] pointed out the existence of state(s) with pseudospin spiraling order. Here we reconcile these two descriptions of the intermediate state by considering the underlying bosonic representation of the composite fermion paired state in the long distance limit, and by performing extensive exact diagonalizations on the torus. We argue that the spiraling states belong to the manifold of degenerate ground state(s), and are a consequence of Bose condensation of the quasiparticles (with critical algebraic correlations) at non-zero momenta in the two pseudospin states. The spiraling states, generated in this way as spin-textures, can be identified with meron-antimeron constructions. Thus, merons -- the fractionally charged vortex excitations of the XY magnetically ordered state -- constitute some of the topological sectors. It follows that merons are deconfined in the intermediate state, and allow for a smooth transition between the magnetically ordered and Fermi-liquid-like phases, in which they are bound in pairs.

14 pages, 7 figures

References in corpus (7)

• "Deconfined" quantum critical points
• Paired composite fermion wavefunctions
• 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
• Projective construction of the ${\mathbb{Z}}_k$ Read-Rezayi fractional quantum Hall states and their excitations on the torus geometry
• Interplay between the coherent and incoherent transport in quantum Hall bilayers
• Trial wavefunctions for the Goldstone mode in ν=1/2+1/2 quantum Hall bilayers

Cited by in corpus (14)

• Composite fermion duality for half-filled multicomponent Landau Levels
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• Doping a fractional quantum anomalous Hall insulator
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
• Wave Function and Emergent SU(2) Symmetry in ${\nu }_T=1$ Quantum Hall Bilayer
• Evidence for a topological "exciton Fermi sea" in bilayer graphene
• Paired states in half-filled Landau levels
• Dipole representation of half-filled Landau level
• Pairing instabilities of Dirac composite fermions
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Quantum Hall bilayer in dipole representation
• Successive electron-vortex binding in quantum Hall bilayers at $\nu =\frac{1}{4}+\frac{3}{4}$
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer
• Single-parameter variational wavefunctions for quantum Hall bilayers