Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-05-30
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, 19 figures
Scientific paper
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. To emphasize the connection between the entanglement spectrum and the energy spectrum, we also consider the thermodynamical OES of the model pseudopotential Hamiltonian at finite temperature. The observed good match between the thermodynamical OES and the Coulomb OES suggests a relation between the entanglement gap and the true energy gap.
Bernevig Andrei B.
Haldane Duncan F. M.
Regnault Nicolas
Sterdyniak A.
No associations
LandOfFree
Hierarchical structure in the orbital entanglement spectrum in Fractional Quantum Hall systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hierarchical structure in the orbital entanglement spectrum in Fractional Quantum Hall systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchical structure in the orbital entanglement spectrum in Fractional Quantum Hall systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-677914