Anomalously low magnetoroton energies of the unconventional fractional quantum Hall states of composite fermions

Abstract

We show a generic formation of the primary magnetorotons in the collective modes of the observed "unconventional" fractional quantum Hall effect (FQHE) states of the composite fermions at the filling factors 4/11, 4/13, 5/13, 5/17, and 3/8 at very low wavevectors with {\em anomalously} low energies which do not have any analogue to the conventional fractional quantum Hall states. Rather slow decay of the oscillations of the pair-correlation functions in these states are responsible for the low-energy magnetorotons. This is a manifestation of the distinct topology predicted before for these FQHE states. Experimental consequences of our theory are also discussed.

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References in corpus (8)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Anomalous structure in the single particle spectrum of the fractional quantum Hall effect
• Transition from Free to Interacting Composite Fermions away from $\nu$=1/3
• On the self-similarity in quantum Hall systems

Cited by in corpus (6)

• Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations