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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…

Strongly Correlated Electrons · Physics 2013-05-29 Eran Sela , Alexander Altland , Achim Rosch

We investigate the quasiparticle dynamics in the two-orbital Hubbard model on the square lattice at quarter filling by means of the cellular dynamical mean field theory. We show that the Fermi-liquid state is stabilized up to the large…

Strongly Correlated Electrons · Physics 2015-05-13 Tomoko Kita , Takuma Ohashi , Sei-ichiro Suga

Exploration of topology protected by a certain symmetry is central in condensed matter physics. A recent idea of sub-symmetry-protected (SSP) topology--remains of a broken symmetry can still protect specific topological boundary states--has…

Mesoscale and Nanoscale Physics · Physics 2025-03-19 Myungjun Kang , Mingyu Lee , Sangmo Cheon

We propose experimentally observable signatures of of topological Majorana quasiparticles in the few-body limit of the interacting cold-atom model of [Iemini et al. Phys. Rev. Lett. 118 200404 (2017)]. In this limit, the total on-site…

Quantum Physics · Physics 2021-02-17 Jared Bland , Chris H. Greene , Birgit Wehefritz-Kaufmann

Over the last decade, there have been considerable efforts to observe non-abelian quasi-particles in novel quantum materials and devices. These efforts are motivated by the goals of demonstrating quantum statistics of quasi-particles beyond…

Superconductivity · Physics 2023-06-26 Ali Yazdani , Felix von Oppen , Bertrand I. Halperin , Amir Yacoby

We study the topology and symmetry of surface Majorana arcs in superconductors with nonunitary "cyclic" pairing. Cyclic $p$-wave pairing may be realized in a cubic or tetrahedral crystal, while it is a candidate for the interior $^3P_2$…

Superconductivity · Physics 2018-01-12 Takeshi Mizushima , Muneto Nitta

In one-dimensional topological superconductors driven periodically with the frequency $\omega$, two types of topological edge modes may appear, the well-known Majorana zero mode and a Floquet Majorana mode located at the quasi-energy $\hbar…

Mesoscale and Nanoscale Physics · Physics 2022-04-11 Anne Matthies , Jinhong Park , Erez Berg , Achim Rosch

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

We consider one-dimensional topological insulators hosting fractionally charged midgap states in the presence and absence of induced superconductivity pairing. Under the protection of a discrete symmetry, relating positive and negative…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Doru Sticlet , Luis Seabra , Frank Pollmann , Jérôme Cayssol

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

We study the robustness of Majorana zero energy modes and minigaps of quasiparticle excitations in a vortex by numerically solving Bogoliubov-deGennes equations in a heterostructure composed of an \textit{s} -wave superconductor, a…

Superconductivity · Physics 2010-11-11 Li Mao , Chuanwei Zhang

We show that Majorana edge modes of two-dimensional spin-triplet topological superconductors have Ising-like spin density whose direction is determined by the d-vector characterizing the spin-triplet pairing symmetry. Exchange coupling…

Superconductivity · Physics 2011-03-28 Ryuichi Shindou , Akira Furusaki , Naoto Nagaosa

Topological superfluid, new quantum matter that possesses gapless exotic excitations known as Majorana fermions, has attracted extensive attention recently. These excitations, which can encode topological qubits, could be crucial…

Quantum Gases · Physics 2016-01-18 Liang-Liang Wang , Wu-Ming Liu

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

The search for topological superconductors and non-Abelian Majorana modes ranks among the most fascinating topics in condensed matter physics. There now exist several fundamental superconducting phases which host symmetry protected or…

Superconductivity · Physics 2017-05-23 Cheung Chan , Xiong-Jun Liu

In the topological phase of spin-orbit coupled nanowires Majorana bound states are known to localize at the nanowire edges and to exhibit a spin density orthogonal to both the magnetic field and the spin-orbit field. By investigating a…

Mesoscale and Nanoscale Physics · Physics 2020-05-18 Lorenzo Rossi , Fabrizio Dolcini , Fausto Rossi

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

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

Electronic systems harboring one dimensional helical modes, where the spin and momentum of the electron are locked, have lately become an important field of its own. When coupled to a conventional superconductor, such systems are expected…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 Yuval Ronen , Yonatan Cohen , Daniel Banitt , Moty Heiblum , Vladimir Umansky

It is well known that non-Abelian Majorana zero modes (MZM) harbor at vortex cores in a $p_{x}+\text{i}p_{y}$ topological superconductor, which can be realized in a 2D spin-orbit coupled system with a single Fermi surface and by proximity…

Superconductivity · Physics 2017-07-31 Cheung Chan , Lin Zhang , Ting Fung Jeffrey Poon , Ying-Ping He , Yan-Qi Wang , Xiong-Jun Liu