Detecting Non-Abelian Anyons by Charging Spectroscopy

Abstract

Observation of non-Abelian statistics for the e/4 quasiparticles in the ν=5/2 fractional quantum Hall state remains an outstanding experimental problem. The non-Abelian statistics are linked to the presence of additional low energy states in a system with localised quasiparticles, and hence an additional low-temperature entropy. Recent experiments, which detect changes in the number of quasiparticles trapped in a local potential well as a function of an applied gate voltage, V_G, provide a possibility for measuring this entropy, if carried out over a suitable range of temperatures, T. We present a microscopic model for quasiparticles in a potential well and study the effects of non-Abelian statistics on the charge stability diagram in the V_G-T plane, including broadening at finite temperature. We predict a measurable slope for the first quasiparticle charging line, and an even-odd effect in the diagram, which is a signature of non-Abelian statistics.

8 pages, 3 fiugres

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• The microscopic nature of localization in the quantum Hall effect
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Local Charge of the nu=5/2 Fractional Quantum Hall State
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Energy levels of few electron quantum dots imaged and characterized by atomic force microscopy
• Damping of a nanomechanical oscillator strongly coupled to a quantum dot
• Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
• Disorder-induced Majorana metal in interacting non-Abelian anyon systems
• Observable Bulk Signatures of Non-Abelian Quantum Hall States
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Adiabatic Cooling with Non-Abelian Anyons

Cited by in corpus (21)

• Majorana Fermions and Topology in Superconductors
• Fractional charge and fractional statistics in the quantum Hall effects
• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Detecting the universal fractional entropy of Majorana zero modes
• Statistics of fractionalized excitations through threshold spectroscopy
• Perturbed vortex lattices and the stability of nucleated topological phases
• Entropy measurement of a strongly coupled quantum dot
• Controlling the entropy of a single-molecule junction
• A thermodynamic approach to measuring entropy in a few-electron nanodevice
• Electronic measurements of entropy in meso- and nanoscale systems
• Non-Abelian quasiholes in lattice Moore-Read states and parent Hamiltonians
• Strong Coupling and non-Markovian Effects in the Statistical Notion of Temperature
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
• Measuring topological entanglement entropy using Maxwell relations
• Direct Entropy Measurement in a Mesoscopic Quantum System
• Entropy spectroscopy of a bilayer graphene quantum dot
• A new strategy to microscopic modelling of topological entanglement in polymers based on field theory
• Detector-tuned overlap catastrophe in quantum dots
• Network architecture of energy landscapes in mesoscopic quantum systems
• Back-action effects in charge detection