References of "Groenendijk, Solofo 50021927"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailParafermion braiding in fractional quantum Hall edge states with a finite chemical potential
Groenendijk, Solofo UL; Calzona, Alessio; Tschirhart, Hugo et al

in Physical Review. B, Condensed Matter and Materials Physics (2019), 100

Parafermions are non-Abelian anyons which generalize Majorana fermions and hold great promise for topological quantum computation. We study the braiding of Z2n parafermions which have been predicted to ... [more ▼]

Parafermions are non-Abelian anyons which generalize Majorana fermions and hold great promise for topological quantum computation. We study the braiding of Z2n parafermions which have been predicted to emerge as localized zero modes in fractional quantum Hall systems at filling factor ν=1/n (n odd). Using a combination of bosonization and refermionization, we calculate the energy splitting as a function of distance and chemical potential for a pair of parafermions separated by a gapped region. Braiding of parafermions in quantum Hall edge states can be implemented by repeated fusion and nucleation of parafermion pairs. We simulate the conventional braiding protocol of parafermions numerically, taking into account the finite separation and finite chemical potential. We show that a nonzero chemical potential poses challenges for the adiabaticity of the braiding process because it leads to accidental crossings in the spectrum. To remedy this, we propose an improved braiding protocol which avoids those degeneracies. [less ▲]

Detailed reference viewed: 28 (1 UL)
Full Text
Peer Reviewed
See detailFundamental limits to helical edge conductivity due to sphin-phonon scattering
Groenendijk, Solofo UL; Dolcetto; Schmidt, Thomas UL

in Physical Review. B, Condensed Matter (2018), 97

Detailed reference viewed: 92 (10 UL)