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Statistics of Fractionally Charged Quasi-Particles

Objective

The discovery of the fractional quantum Hall effect created a revolution in solid state research by introducing a new state of matter resulting from strong electron interactions. The new state is characterized by excitations (quasi-particles) that carry fractional charge, which are expected to obey fractional statistics. While odd denominator fractional states are expected to have an abelian statistics, the newly discovered 5/2 even denominator fractional state is expected to have a non-abelian statistics. Moreover, a large number of emerging proposals predict that the latter state can be employed for topological quantum computing ( Station Q was founded by Microsoft Corp. in order to pursue this goal). This proposal aims at studying the abelian and non-abelian fractional charges, and in particular to observe their peculiar statistics. While charges are preferably determined by measuring quantum shot noise, their statistics must be determined via interference experiments, where one particle goes around another. The experiments are very demanding since the even denominator fractions turn to be very fragile and thus can be observed only in the purest possible two dimensional electron gas and at the lowest temperatures. While until very recently such high quality samples were available only by a single grower (in the USA), we have the capability now to grow extremely pure samples with profound even denominator states. As will be detailed in the proposal, we have all the necessary tools to study charge and statistics of these fascinating excitations, due to our experience in crystal growth, shot noise and interferometry measurements.

Field of science

  • /engineering and technology/electrical engineering, electronic engineering, information engineering/electronic engineering/computer hardware/quantum computer

Call for proposal

ERC-2008-AdG
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

WEIZMANN INSTITUTE OF SCIENCE
Address
Herzl Street 234
7610001 Rehovot
Israel
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 2 000 000
Principal investigator
Mordehai (Moty) Heiblum (Prof.)
Administrative Contact
Gabi Bernstein (Ms.)

Beneficiaries (1)

WEIZMANN INSTITUTE OF SCIENCE
Israel
EU contribution
€ 2 000 000
Address
Herzl Street 234
7610001 Rehovot
Activity type
Higher or Secondary Education Establishments
Principal investigator
Mordehai (Moty) Heiblum (Prof.)
Administrative Contact
Gabi Bernstein (Ms.)