Sutirtha Mukherjee

Possible Anti-Pfaffian Pairing of Composite Fermions at ν = 3 / 8

We predict that an incompressible fractional quantum Hall state is likely to form at ν = 3/8 as a result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four quantized vortices, and that the pairing is of the anti-Pfaffian kind. Experimental ramifications include quasiparticles with non-Abelian braid statistics and upstream neutral edge modes.

The enigma of the. nu=2+3/ 8 fractional quantum Hall effect

The fractional quantum Hall effect at

Possible realization of a chiral p -wave paired state in a two-component system

\nu=2+3/8

Determination of many-electron basis functions for a quantum Hall ground state using Schur polynomials

, which has been definitively observed, is one of the last fractions for which no viable explanation has so far been demonstrated. Our detailed study suggests that it belongs to a new class of of exotic states described by the Bonderson-Slingerland wave function. Its excitations are non-Abelian anyons similar to those of the well studied Pfaffian state at 5/2, but its wave function has a more complex structure. Using the effective edge theory, we make predictions for various measurable quantities that should enable a confirmation of the underlying topological order of this state.

Incompressible States of the Interacting Composite Fermions in Negative Effective Magnetic Fields at

There is much interest in the realization of systems with p-wave pairing in one dimension or chiral p-wave pairing in two dimensions, because these are believed to support Majorana modes at the ends or inside vortices. We consider a two component system of composite fermions and provide theoretical evidence that, under appropriate conditions, the screened interaction between the minority composite fermions is such as to produce an almost exact realization of p-wave paired state described by the so-called anti-Pfaffian wave function. This state is predicted to occur at filling

\nu=4/13

\nu=3/8

, 5/17, and 3/10

or 13/8 in GaAs when the Zeeman energy is sufficiently small, and at

Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect

\nu=\pm 3/8

Anomalously Low Magnetoroton Energies of the Unconventional Fractional Quantum Hall States of Composite Fermions

or

Erratum: Enigmatic4/11State: A Prototype for Unconventional Fractional Quantum Hall Effect [Phys. Rev. Lett. 112, 016801 (2014)]

\pm 13/8