Odd-even crossover in a non-Abelian ν=5/2 interferometer

  title={Odd-even crossover in a non-Abelian $\nu$=5/2 interferometer},
  author={Waheb Bishara and C. Nayak},
  journal={Physical Review B},
We compute the backscattered current in a double point-contact geometry of a quantum-Hall system at filling fraction ν=5/2 as a function of bias voltage in the weak backscattering regime. We assume that the system is in the universality class of either the Pfaffian or anti-Pfaffian state. When the number of charge e/4 quasiparticles in the interferometer is odd, there is no interference pattern. However, the coupling between a charge e/4 quasiparticle and the edge causes it to be absorbed by… 

Figures from this paper

Theory of non-Abelian Fabry-Perot interferometry in topological insulators

Interferometry of non-Abelian edge excitations is a useful tool in topological quantum computing. In this paper we present a theory of a non-Abelian edge-state interferometer in a three-dimensional

Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect

In this paper, we report on the study of Abelian and non-Abelian statistics through Fabry-Perot interferometry of fractional quantum Hall (FQH) systems. Our detection of phase slips in quantum

Non-Abelian anyon collider

A collider where particles are injected onto a beam splitter from opposite sides has been used for identifying quantum statistics of identical particles. The collision leads to bunching of the

Non-Fermi-liquid quantum impurity physics from non-Abelian quantum Hall states

We study the physics of electron tunneling between multiple quantum dots and the edge of a quantum Hall state. Our results generalize earlier work [G. A. Fiete, W. Bishara, C. Nayak, Phys. Rev. Lett.

Surprises at the edge: theoretical investigations at the boundaries of quantum Hall systems

Author(s): Cano, Jennifer Ann | Advisor(s): Nayak, Chetan | Abstract: The quantum Hall effect is recognized as one of the earliest examples of a topological phase of matter. Yet, thirty-five years

Universal low-temperature crossover in two-channel Kondo models

An exact expression is derived for the electron Green function in two-channel Kondo models with one and two impurities, describing the crossover from non-Fermi liquid (NFL) behavior at intermediate

Local magnetization in the boundary Ising chain at finite temperature

We study the local magnetization in the 2D Ising model at its critical temperature on a semi-infinite cylinder geometry, and with a nonzero magnetic field h applied at the circular boundary of

Edge-induced qubit polarization in systems with Ising anyons

We investigate the proposed experimental setup for measuring the topological charge in an Ising anyon system by means of Fabry–Pérot interferometry with a chiral edge state. We show that such an

Partial Equilibration of the Anti-Pfaffian Edge due to Majorana Disorder.

A parameter regime in which tunneling of the Majorana edge mode to trapped Majorana zero modes in the bulk could explain the recent observation of quantized heat transport is discussed.

Size constraints on a Majorana beam-splitter interferometer: Majorana coupling and surface-bulk scattering

Topological insulator surfaces in proximity to superconductors have been proposed as a way to produce Majorana fermions in condensed matter physics. One of the simplest proposed experiments with such