## 7. 3. 2014. Seminar: Milica Milovanović

Friday March 7 2014 at 2PM

IPB Library

Seminar organised by Scientific Computing Laboratory

Milica Milovanović

SCL, Institute of Physics Belgrade

**Introduction to the Physics of Moore-Read State**

Abstract:

We will review the physics of the Moore-Read state - the best candidate for the explanation of the even-denominator fractional quantum Hall effect at filling factor 5/2.

The Moore-Read state is a fractional quantum Hall state with underlying particles - neutral spinless fermions paired into pairs of angular momentum one (p - wave pairing). This unusual structure with the BCS pairing function given in the form of Pfaffian leads to the non-Abelian statistics of excitations, i.e., non-Abelian quasiparticles. This will be demonstrated on the example of four quasiparticles. We will show that if the positions of four quasiparticles are fixed, their description is given by a two-dimensional space. Thus, four quasiparticle configurations may serve as a qubit in a topological quantum computer.

References:

[1] N. Read and E. Rezayi, Phys. Rev. B 54, 16864 (1996).

[2] Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma, Rev. Mod. Phys. 80, 1083 (2008).

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