Majorana Fermions in Strongly Interacting Helical Liquids

Details Majorana Fermions in Strongly Interacting Helical Liquids Majorana Fermions in Strongly Interacting Helical Liquids

2011-03-25

arxiv.org/abs/1103.4969v2

Phys. Rev. B84: 085114,2011

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 4 figures

Scientific paper

Majorana fermions were proposed to occur at edges and interfaces of gapped one-dimensional systems where phases with different topological character meet due to an interplay of spin-orbit coupling, proximity-induced superconductivity and external magnetic fields. Here we investigate the effect of strong particle interactions, and show that the helical liquid offers a mechanism that protects the very existence of Majorana edge states: whereas moderate interactions close the proximity gap which supports the edge states, in helical liquids the gap re-opens due to two-particle processes. However, gapless fermionic excitations occur at spatial proximity to the Majorana states at interfaces and may jeopardize their long term Majorana coherence.

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