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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 ▲]

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See detailFinite frequency noise in a chiral Luttinger liquid coupled to phonons
Idrisov, Edvin UL

in Physical Review. B (2019)

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See detailEntropy production in one-dimensional quantum fluids
Idrisov, Edvin UL; Schmidt, Thomas UL

in Physical Review. B (2019)

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See detailDephasing in a Mach-Zehnder Interferometer by an Ohmic Contact
Idrisov, Edvin UL; Levkivskyi, Ivan; Sukhorukov, Eugene

in Physical Review Letters (2018)

Detailed reference viewed: 170 (24 UL)