Hierarchical structure in the orbital entanglement spectrum in Fractional Quantum Hall systems

Understand

We investigate the non-universal part of the orbital entanglement spectrum (OES) of the nu = 1/3 fractional quantum Hall effect (FQH) ground-state with Coulomb interactions.

• The non-universal part of the spectrum is the part that is missing in the Laughlin model state OES whose level counting is completely determined by its topological order.
• We find that the OES levels of the Coulomb interaction ground-state are organized in a hierarchical structure that mimic the excitation-energy structure of the model pseudopotential Hamiltonian which has a Laughlin ground state.
• These structures can be accurately modeled using Jain's "composite fermion" quasihole-quasiparticle excitation wavefunctions.