Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride

Abstract

In a twisted graphene on hexagonal Boron Nitride, the presence of a gap and the breaking of the symmetry between carbon sublattices leads to multicomponent fractional quantum Hall effect (FQHE) due to the electrons correlation. We report on the FQHE at filling factors nu = k/2 and nu = k/3 with nu > 1, and on the composite fermions at in the nu < 1 lowest landau Level nu = 4/5, 5/7 and 2/3. These fractional states can be described with a partons model, in which the electron is broken down into sub-particles each one residing in an integer quantum Hall effect state; partons are fictitious particles that, glued back together, recover the physical electrons. The parton states host exotic anyons that could potentially form building blocks of a fault-tolerant topological quantum computer.

References in corpus (31)

• Non-Abelian Anyons and Topological Quantum Computation
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Fractional Quantum Hall Effect of Composite Fermions
• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
• Even denominator fractional quantum Hall state in bilayer graphene
• Ultra-high quality two-dimensional electron systems
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Composite Fermions and Broken Symmetries in Graphene
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• Parton construction of a wave function in the anti-Pfaffian phase
• Novel method distinguishing between competing topological orders
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond
• Unconventional fractional quantum Hall states and Wigner crystallization in suspended Corbino graphene
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Fractional quantum Hall effect in CVD-grown graphene
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Optical sensing of fractional quantum Hall effect in graphene
• Fractional quantum Hall effect with unconventional pairing in monolayer graphene
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Real-space entanglement spectra of parton states in fractional quantum Hall systems
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Topological valley currents via ballistic edge modes in graphene superlattices near the primary Dirac point
• Prediction of non-Abelian fractional quantum Hall effect at $\nu =2+\frac{4}{11}$