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Topological superfluids with finite-momentum pairing and Majorana fermions
Topological superfluids with finite-momentum pairing and Majorana fermions
Journal Article

Topological superfluids with finite-momentum pairing and Majorana fermions

2013
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Overview
Majorana fermions (MFs), quantum particles that are their own antiparticles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently MFs have been intensively studied in solid state and cold atomic systems. These studies are generally based on superconducting pairing with zero total momentum. On the other hand, finite total momentum Cooper pairings, known as Fulde–Ferrell (FF) Larkin–Ovchinnikov (LO) states, were widely studied in many branches of physics. However, whether FF and LO superconductors can support MFs has not been explored. Here we show that MFs can exist in certain types of gapped FF states, yielding a new quantum matter: topological FF superfluids/superconductors. We demonstrate the existence of such topological FF superfluids and the associated MFs using spin–orbit-coupled degenerate Fermi gases and derive their parameter regions. The implementation of topological FF superconductors in semiconductor/superconductor heterostructures is also discussed. Cold atom systems are a playground for new quantum phenomena, one of which might be Majorana fermions – particles that are their own antiparticles. Qu et al. show how a topological superfluid with Fulde–Ferrell pairing might emerge in a spin–orbit-coupled degenerate gas, which could support Majorana fermions.
Publisher
Nature Publishing Group UK,Nature Publishing Group