Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions

Abstract

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. In this paper we explore the rich variety of quantum and finite-temperature phase transitions associated with this broken symmetry. We describe the system using a pseudospin language in which the layer degree-of-freedom is mapped to a fictional spin 1/2 degree-of-freedom. With this mapping the spontaneous symmetry breaking is equivalent to that of a spin 1/2 easy-plane ferromagnet. In this language spin-textures can carry a charge. In particular, vortices carry e/2 electrical charge and vortex-antivortex pairs can be neutral or carry charge e. We derive an effective low-energy action and use it to discuss the charged and collective neutral excitations of the system. We have obtained the parameters of the Landau-Ginzburg functional from first-principles estimates and from finite-size exact diagonalization studies. We use these results to estimate the dependence of the critical temperature for the Kosterlitz-Thouless phase transition on layer separation.

56 pages, 19 figures available upon request at [email protected]. RevTex 3.0. IUCM94-009

References in corpus (5)

• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Possible Quantum Spin Liquid States on the Triangular and Kagome Lattices
• Hund's Rule for Composite Fermions
• Collective excitations in double-layer quantum Hall systems
• Quantum Hall Ferromagnets

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• Successive electron-vortex binding in quantum Hall bilayers at $\nu =\frac{1}{4}+\frac{3}{4}$
• Designing exciton-condensate Josephson junction in quantum Hall heterostructures
• In-plane Magnetic Field Induced Kosterlitz-Thouless Type Metal Insulator Transition in Coupled Double Quantum Wells
• Superfluid stiffness bounds in time-reversal symmetric superconductors
• Random motion theory of an optical vortex in nonlinear birefringent media
• Strong enhancement of third harmonic generation in a double layer graphene system caused by electron-hole pairing
• Statistics of skyrmions in Quantum Hall systems
• The Effect of Disorder in Superfluid Double Layer Graphene
• Possible Jahn-Teller effect in Si-inverse layers
• Skyrmion crystals in the pseudo-spin-1/2 Bose-Einstein condensates
• Persistent Currents and Dissipation in Narrow Bilayer Quantum Hall Bars
• An accurate effective action for `baby' to `adult' skyrmions
• Bimerons in Double Layer Quantum Hall Systems
• Non-commutative field theory approach to two-dimensional vortex liquid system
• Thermodynamics of the Double-Layer Quantum Hall Systems
• Thermal and Tunneling Pair Creation of Quasiparticles in Quantum Hall Systems
• Liquid antiferromagnets in two dimensions
• Variational wavefunctions for fractional topological insulators
• Wigner solids of wide quantum wells near Landau filling $\nu =1$
• Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots
• Large Zeeman Splitting in Out-of-Plane Magnetic Field in a Double-Layer Quantum Point Contact
• Electromagnetic characteristics and effective gauge theory of double-layer quantum Hall systems
• Statistics of skyrmions and the 5/2 puzzle
• Charge and spin textures of Ising quantum Hall ferromagnet domain walls
• Electronic correlation in the quantum Hall regime
• Paired quantum Hall states on noncommutative two-tori
• Temperature-induced phase transitions in the quantum Hall magnet of bilayer graphene
• Charge density wave with meronlike spin texture induced by a lateral superlattice in a two-dimensional electron gas
• Low energy excitations of double quantum dots in the lowest Landau level regime
• Electron spin polarization by isospin ordering in correlated two-layer quantum Hall systems
• PseudoSkyrmion Effects on Tunneling Conductivity in Coherent Bilayer Quantum Hall States at $\nu =1$
• Order parameter suppression in double layer quantum Hall ferromagnets
• Magnus Force on Quantum Hall Skyrmions and Vortices
• Stability of highly-twisted Skyrmions from contact topology
• Exciton crystal melting and destruction by disorder in bilayer quantum hall system with total filling factor one
• Optical absorption in the soliton-lattice state of a double-quantum-well system
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$
• Entanglement smectic and stripe order
• Voltage Induced Dynamical Quantum Phase Transitions in Exciton Condensates
• Numerical Investigation on Asymmetric Bilayer System at Integer Filling Factor
• Evidence of inter-layer interaction in magneto-luminescence spectra of electron bilayers
• Solitons in polarized double layer quantum Hall systems
• Anomalous Transport Gaps of Fractional Quantum Hall Phases in Graphene Landau Levels are Induced by Spin-Valley Entangled Ground States
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Electron-hole pairing in topological insulator heterostructures in the quantum Hall state
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Bag Formation in Quantum Hall Ferromagnets
• Hopf symmetry protected topological phases in the vicinity of spin orders
• Phase transitions induced by a lateral superlattice potential in a two-dimensional electron gas
• Edge and bulk merons in double quantum dots with spontaneous interlayer phase coherence
• Topological Electrostatics
• Holographic model of exciton condensation in double monolayer Dirac semimetal
• Hydrodynamic model of skyrmions and vorticities in the spin-1 Bose-Einstein condensate in ferromagnetic phase at finite temperatures
• Interaction-induced localization-delocalization transition in the double-layer quantum Hall system
• Metastable bound state of a pair of two-dimensional spatially separated electrons in anti-parallel magnetic fields
• Electromagnetic characteristics of bilayer quantum Hall systems in the presence of interlayer coherence and tunneling
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• SU(4) Coherent Effects to the Canted Antiferromagnetic Phase in Bilayer Quantum Hall Systems at $\nu$=2
• Integrable Impurity Model with Spin and Flavour: Model Inspired by Resonant Tunneling in Quantum Dot
• New topological excitations and melting transitions in quantum Hall systems
• Uniquely identifying quantum Hall phases in charge neutral graphene
• Role of the compensating current in the weak Josphson coupling regime: An extended study on excitonic Josephson junctions
• Tuning between a fractional topological insulator and competing phases at ${\nu }_{\mathrm{T}}=2/3$