Topological superfluids with finite-momentum pairing and Majorana fermions

Chunlei Qu, Zhen Zheng, Ming Gong (), Yong Xu, Li Mao, Xubo Zou, Guangcan Guo and Chuanwei Zhang ()
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Chunlei Qu: The University of Texas at Dallas
Zhen Zheng: Key Laboratory of Quantum Information, University of Science and Technology of China
Ming Gong: The Chinese University of Hong Kong
Yong Xu: The University of Texas at Dallas
Li Mao: The University of Texas at Dallas
Xubo Zou: Key Laboratory of Quantum Information, University of Science and Technology of China
Guangcan Guo: Key Laboratory of Quantum Information, University of Science and Technology of China
Chuanwei Zhang: The University of Texas at Dallas

Nature Communications, 2013, vol. 4, issue 1, 1-7

Abstract: Abstract 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.

Date: 2013
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DOI: 10.1038/ncomms3710

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