Splitting of roton minimum in the ν=5/2 Moore-Read state

Abstract

We calculate the dynamical structure factor of the ν=5/2 non-abelian quantum Hall state in the dipole approximation, valid for large momenta. Due to the fact that both quasi-particles (qps) and quasi-holes (qhs) have an internal Majorana degree of freedom, a qp-qh pair has a fermionic degree of freedom which can be either empty or occupied, and leads to a splitting of the roton mode. Observation of this splitting by means of finite wavelength optical spectroscopy could provide evidence for Majorana modes in the ν=5/2 quantum Hall state.

8 pages including Supp. Mat., 3 figures

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• NMR probing of the spin polarization of the nu=5/2 quantum Hall state
• Disorder-induced Majorana metal in interacting non-Abelian anyon systems
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Rapid collapse of spin waves in non-uniform phases of the second Landau level
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Unpaired composite fermion, topological exciton, and zero mode
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Majorana fermions on a disordered triangular lattice

Cited by in corpus (3)

• Localized Many-Particle Majorana Modes with Vanishing Time-Reversal Symmetry Breaking in Double Quantum Dots
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect