Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases

Zhang, Wei; Wu, Yi

doi:10.1038/ncomms3711

Cited by 142 publications

(126 citation statements)

References 49 publications

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“…After the submission of this manuscript, we become aware of relevant work 53 , where topological FF phases in 2D are discussed using slightly different SO coupling and Zeeman field.…”

Section: Discussionmentioning

confidence: 99%

Topological superfluids with finite-momentum pairing and Majorana fermions

et al. 2013

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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-orbitcoupled degenerate Fermi gases and derive their parameter regions. The implementation of topological FF superconductors in semiconductor/superconductor heterostructures is also discussed.

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“…After the submission of this manuscript, we become aware of relevant work 53 , where topological FF phases in 2D are discussed using slightly different SO coupling and Zeeman field.…”

Section: Discussionmentioning

confidence: 99%

Topological superfluids with finite-momentum pairing and Majorana fermions

et al. 2013

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“…Recently, the spin-orbit coupling (SOC) has been realized by ultracold atoms as condensates or on an optical lattice [16][17][18][19], which paves the way to the topological FFLO states [20][21][22][23][24][25]. Theoretical researches show that topological FFLO states can be induced in one and two dimensional Fermi gas.…”

Section: Introductionmentioning

confidence: 99%

Topological Fulde-Ferrell superfluids in triangular lattices

Guo

2017

Phys. Rev. A

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Fulde-Ferrell (FF) Larkin-Ovchinnikov (LO) phases were proposed for superconductors or superfluids in strong magnetic field. With the experimental progresses in ultracold atomic systems, topological FFLO phases has also been put forward, since it is a natural consequence of realizable spin-orbital coupling (SOC). In this work, we theoretically investigate a triangular lattice model with SOC and in-plane field. By constructing the phase diagram, we show that it can produce topological FF states with Chern numbers, C = ±1 and C = −2. We get the phase boundaries by the change of the sign of Pfaffian. The chiral edge states for different topological FF phases are also elucidated.

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“…These correspond to taking n = 1, 2 and n = 1, 2, 3, respectively, in the bandindex summation in Eq. (21). Applying a similar gauge transformation,ψ (n) j↓ → (−1) jψ(n) j↓ , we can write the effective Hamiltonian in quasi-momentum space.…”

Section: Effects Of Cavity-assisted Interband Couplingmentioning

confidence: 99%

“…Of particular interest is the possibility of preparing and probing topological states in cold atomic gases under synthetic SOC. Although solidstate materials with topologically nontrivial properties have been extensively studied in recent years [15][16][17], ultracold atomic gases may serve as ideal platforms for quantum simulation of exotic topological matter [18][19][20][21][22][23]. For instance, the highly tunable parameters of cold atoms should offer unprecedented control over interatomic interactions in a topological material and thus would provide the intriguing opportunity of simulating topological * Electronic address: phyliuxiongjun@gmail.com † Electronic address: wzhangl@ruc.edu.cn ‡ Electronic address: wyiz@ustc.edu.cn states in a strongly interacting system.…”

Section: Introductionmentioning

confidence: 99%

Topological superradiant state in Fermi gases with cavity induced spin–orbit coupling

Pan

Liu

et al. 2017

Front. Phys.

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Coherently driven atomic gases inside optical cavities hold great promise for generating rich dynamics and exotic states of matter. It was shown recently that an exotic topological superradiant state exists in a two-component degenerate Fermi gas coupled to a cavity, where local order parameters coexist with global topological invariants. In this work, we characterize in detail various properties of this exotic state, focusing on the feedback interactions between the atoms and the cavity field. In particular, we demonstrate that cavity-induced interband coupling plays a crucial role in inducing the topological phase transition between the conventional and topological superradiant states. We analyze the interesting signatures in the cavity field left by the closing and reopening of the atomic bulk gap across the topological phase boundary and discuss the robustness of the topological superradiant state by investigating the steady-state phase diagram under various conditions. Furthermore, we consider the interaction effect and discuss the interplay between the pairing order in atomic ensembles and the superradiance of the cavity mode. Our work provides many valuable insights into the unique cavity-atom hybrid system under study and is helpful for future experimental exploration of the topological superradiant state.

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Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases

Cited by 142 publications

References 49 publications

Topological superfluids with finite-momentum pairing and Majorana fermions

Topological superfluids with finite-momentum pairing and Majorana fermions

Topological Fulde-Ferrell superfluids in triangular lattices

Topological superradiant state in Fermi gases with cavity induced spin–orbit coupling

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