Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect

Abstract

We report on exact diagonalization studies for fully spin polarized 5/2 fractional quantum Hall effect, incorporating Landau level mixing through the Bishara-Nayak effective interaction. We find that there is an experimentally accessible region in the phase diagram where the Pfaffian model accurately describes not only the ground state but also the neutral and charged excitations. These results are consistent with the observed persistence of the 5/2 Hall effect down to very low magnetic fields; they are also relevant to the experimental attempts to detect nonabelian braid statistics.

4 pages, 5 figures

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Paired composite fermion wavefunctions
• Spontaneous Particle-Hole Symmetry Breaking in the $\nu =5/2$ Fractional Quantum Hall Effect
• Landau level mixing in the nu=5/2 fractional quantum Hall state

Cited by in corpus (92)

• Landau Level Mixing and the Fractional Quantum Hall Effect
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Thirty Years of Composite Fermions and Beyond
• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Parton construction of a wave function in the anti-Pfaffian phase
• Observation of a transition from a topologically ordered to a spontaneously broken symmetry phase
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Landau Level Mixing in the Perturbative Limit
• A Stable Pfaffian State in Bilayer Graphene
• Experimental probe of topological orders and edge excitations in the second Landau level
• The nature of composite fermions and the role of particle hole symmetry: A microscopic account
• Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
• The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Impact of disorder on the 5/2 fractional quantum Hall state
• Landau Level Quantization on the Sphere
• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Fractional quantum Hall effect in a tilted magnetic field
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Striped quantum Hall state in a half-filled Landau level
• Tunable interactions and phase transitions in Dirac materials in a magnetic field
• Contrasting Energy Scales of the Reentrant Integer Quantum Hall States
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Tunable Electron Interactions and Fractional Quantum Hall States in Graphene
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Quantum Phase Transitions and the ν=5/2 Fractional Hall State in Wide Quantum Wells
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Possible Anti-Pfaffian Pairing of Composite Fermions in the Lowest Landau Level
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect
• Quantum Hall effects in fast rotating Fermi gases with anisotropic dipolar interaction
• Anomalous robustness of the 5/2 fractional quantum Hall state near a sharp phase boundary
• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Evolution of the 7/2 fractional quantum Hall state in two-subband systems
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
• The enigma of the $\nu =2+\frac{3}{8}$ fractional quantum Hall effect
• Enhancement of the $\nu =5/2$ Fractional Quantum Hall State in a Small In-Plane Magnetic Field
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Composite fermion pairing induced by Landau level mixing
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• Surprising robustness of particle-hole symmetry for composite fermion liquids
• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
• Possible realization of a chiral p-wave paired state in a two component system
• Fractional quantum Hall effect arising from repulsive three body interaction
• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Entanglement Measures for Quasi-Two-Dimensional Fractional Quantum Hall States
• Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
• Supersymmetry in the Fractional Quantum Hall Regime
• Probing quantum phases in ultra-high-mobility two-dimensional electron systems using surface acoustic waves
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• A Particle-Hole-Symmetric Model for a Paired Fractional Quantum Hall State in a Half-filled Landau Level
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Identifying non-Abelian anyons with upstream noise
• Particle-hole Asymmetry of Fractional Quantum Hall States in the Second Landau Level of a Two-dimensional Hole System
• Model interactions for Pfaffian paired states based on Chern-Simons field theory description
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Identification of the Fractional quantum Hall edge modes by density oscillations
• Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential
• Two-component parton fractional quantum Hall state in graphene
• Numerical studies of the fractional quantum Hall effect in systems with tunable interactions
• Dynamical Mass Generation of Composite Dirac Fermions and Fractional Quantum Hall Effects near Charge Neutrality in Graphene
• Formation of spin droplet at nu = 5/2 in an asymmetric quantum dot under quantum Hall conditions
• Non-Abelian $\nu =1/2$ quantum Hall state in ${\Gamma }_8$ Valence Band Hole Liquid
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling
• Composite fermion mass enhancement and particle-hole symmetry of fractional quantum Hall states in the lowest Landau level under realistic conditions
• Torus geometry eigenfunctions of an interacting multi-Landau level Hamiltonian
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Competing quantum Hall phases in the second Landau level in low density limit