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Higher order topological superconductors hosting Majorana-Kramers pairs (MKPs) as corner modes have recently been proposed in a two-dimensional (2D) quantum spin Hall insulator (QSHI) proximity-coupled to unconventional cuprate or…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Chuanchang Zeng , T. D. Stanescu , Chuanwei Zhang , V. W. Scarola , Sumanta Tewari

Topological superfluids protected by mirror and time-reversal symmetries are exotic states of matter possessing Majorana Kramers pairs (MKPs), yet their realizations have long been hindered by the requirement of unconventional pairing. We…

Quantum Gases · Physics 2018-11-06 Haiping Hu , Fan Zhang , Chuanwei Zhang

We introduce a new approach to create and detect Majorana fermions using optically trapped 1D fermionic atoms. In our proposed setup, two internal states of the atoms couple via an optical Raman transition---simultaneously inducing an…

Higher-order topological superfluids have gapped bulk and symmetry-protected Majorana zero modes with various localizations. Motivated by recent advances, we present a proposal for synthesizing multi-order topological superfluids that…

Quantum Gases · Physics 2021-07-09 Yu-Biao Wu , Guang-Can Guo , Zhen Zheng , Xu-Bo Zou

The realization of Majorana corner modes generally requires unconventional superconducting pairing or $s$-wave pairing. However, the bulk nodes in unconventional superconductors and the low $T_c$ of $s$-wave superconductors are not…

Superconductivity · Physics 2023-06-14 Yu-Xuan Li , Cheng-Cheng Liu

We propose an experiment to directly probe the non-Abelian statistics of Majorana fermions by braiding them in an s-wave superfluid of ultracold atoms. We show different orders of braiding operations give orthogonal output states that can…

Quantum Gases · Physics 2011-03-23 Shi-Liang Zhu , L. B. Shao , Z. D. Wang , Lu-Ming Duan

Majorana zero bound mode exists in the vortex core of a chiral $p+ip$ superconductor or superfluid, which can be driven from an s-wave pairing state by two-dimensional (2D) spin-orbit (SO) coupling. We propose here a novel scheme based on…

Strongly Correlated Electrons · Physics 2014-02-27 Xiong-Jun Liu , K. T. Law , T. K. Ng

Higher-order topological superconductors and superfluids host lower-dimensional Majorana corner and hinge states since novel topology exhibitions on boundaries. While such topological nontrivial phases have been explored extensively, more…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Ya-Jie Wu , Wei Tu , Ning Li

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Zhongbo Yan , Fei Song , Zhong Wang

We propose a one-dimensional Hamiltonian $H_{1D}$ which supports Majorana fermions when $d_{x^{2}-y^{2}}$-wave superfluid appears in the ultracold atomic system and obtain the phase-separation diagrams both for the time-reversal-invariant…

Quantum Gases · Physics 2013-08-06 Zhongbo Yan , Xiaosen Yang , Shaolong Wan

In this work, we consider a 3D cubic optical lattice composed of coupled 1D wires with 1D spin-orbit coupling. When the s-wave pairing is induced through Feshbach resonance, the system becomes a topological superfluid with ring nodes, which…

Quantum Gases · Physics 2018-04-25 Wen-Yu He , Dong-Hui Xu , Benjamin T. Zhou , Qi Zhou , K. T. Law

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

We examine theoretically the visualization of Majorana fermions in a two-dimensional trapped ultracold atomic Fermi gas with spin-orbit coupling. By increasing an external Zeeman field, the trapped gas transits from non-topological to…

Quantum Gases · Physics 2012-02-24 Xia-Ji Liu , Lei Jiang , Han Pu , Hui Hu

We present a simple approach to create a strong $p$-wave interaction for fermions in an optical lattice. The crucial step is that the combination of a lattice setup with different orbital states and $s$-wave interactions can give rise to a…

We here explore Majorana Fermion states in an s-wave superfluid of cold atoms in the presence of spin-orbital coupling and an additional harmonic potential. The superfluid boundary is induced by a harmonic trap. Two locally separated…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Tao Zhou , Z. D. Wang

Conventional $n$-dimensional topological superconductors (TSCs) have protected gapless $(n - 1)$-dimensional boundary states. In contrast to this, second-order TSCs are characterized by topologically protected gapless $(n - 2)$-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-12-17 Tao Liu , James Jun He , Franco Nori

Majorana fermions are promising candidates for storing and processing information in topological quantum computation. The ability to control such individual information carriers in trapped ultracold atomic Fermi gases is a novel theme in…

Quantum Gases · Physics 2013-01-21 Xia-Ji Liu , P. D. Drummond

We identify time-reversal symmetry breaking mixed-parity superconducting states that feature eight Majorana corner modes in properly cleaved three-dimensional cubic crystals. Namely, when an odd-parity isotropic $p$-wave pairing coexists…

Superconductivity · Physics 2021-11-11 Bitan Roy , Vladimir Juricic

We propose an experimental scheme to simulate the transverse field Ising model with cold atoms trapped in one-dimensional optical lattice. Majorana fermions are created at the ends of the optical lattice segment in topological phase. By…

Here we present the theoretical clarification of possibility of eight Majorana-like modes (quasi-particles which are self-conjugate) close to the experimentally inaccessible Dirac points of a two-dimensional monolayer Dirac system. The…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Partha Goswami
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