Two-impurity helical Majorana problem

Abstract

We predict experimentally accessible signatures for helical Majorana fermions in a topological superconductor by coupling to two quantum dots in the local moment regime (corresponding to spin-$1/2$ impurities). Taking into account RKKY interactions mediated by bulk and edge modes, where the latter cause a long-range antiferromagnetic Ising coupling, we formulate and solve the low-energy theory for this two-impurity helical Majorana problem. In particular, we show that the long-time spin dynamics after a magnetic field quench displays weakly damped oscillations with universal quality factor.

6 pages, 1 figure, replaced with published version

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Cited by in corpus (6)

• Selective Population of Edge States in a 2D Topological Band System
• Majorana boundary modes in Josephson junctions arrays with gapless bulk excitations
• Marginally localized edges of time-reversal symmetric topological superconductors
• RKKY interaction at helical edges of topological superconductors
• Spin responses of a disordered helical superconducting edge under Zeeman field
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors