Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level

Abstract

A proposal of the existence of an {\em Anomalous} phase ($\mathcal{A}$ phase) [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.056202 Das et al., Phys. Rev. Lett. 131, 056202 (2023)] at the experimental range of moderate Landau-level-mixing strength has recently been made for $5/2$ state. We here report that the gapped $\mathcal{A}$ phase is generic to the sequence of spin-polarized fractional quantum Hall states with filling fractions $\nu =n/(nm-1)$ and $\nu =1-n/(nm-1)$, $(n⩾1,m⩾3)$, that exhausts almost all the observed states and also predicts some states in the second Landau level for GaAs systems. Our proposed trial wavefunctions for all these states have remarkably high overlaps with the corresponding exact ground states and can support non-Abelian quasiparticle excitations with charge $e/[2(nm-1)]$. By analyzing edge modes, we predict experimentally verifiable thermal Hall conductance $2.5({\pi }^2{k}_B^{2}T/3h)$ for all the states in these sequences.

arXiv commentThe length of the manuscript has been shortened. Supplemental material has been added

References in corpus (47)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Is the Composite Fermion a Dirac Particle?
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Entanglement entropy in fermionic Laughlin states
• Observation of neutral modes in the fractional quantum Hall regime
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Parafermion Hall states from coset projections of abelian conformal theories
• Fractional Quantum Hall Hierarchy and the Second Landau Level
• Bipartite entanglement entropy in fractional quantum Hall states
• Fractional Quantum Hall Effect in the Second Landau Level
• The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Isolated Ballistic Non-Abelian Interface Channel
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Novel method distinguishing between competing topological orders
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Landau Level Mixing in the Perturbative Limit
• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
• Experimental Evidence for a Spin-Polarized Ground State in the ν=5/2 Fractional Quantum Hall Effect
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Non-Abelian states with negative flux: a new series of quantum Hall states
• Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Quantum Hall States at $\nu =\frac{2}{k+2}$
• The enigmatic 12/5 fractional quantum Hall effect
• Energetics of Pfaffian-AntiPfaffian Domains
• Unconventional ${\mathbb{Z}}_n$ parton states at $\nu =7/3$: The role of finite width
• 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
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• Finite Temperature Behavior in the Second Landau Level of the Two-dimensional Electron Gas
• Gapped Excitations of unconventional FQHE states in the Second Landau Level
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Competing quantum Hall phases in the second Landau level in low density limit

Cited by in corpus (1)

• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State