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Multiple zero-energy Majorana fermions (MFs) with spatially overlapping wave functions can survive only if their splitting is prevented by an underlying symmetry. Here we show that, in quasi-one-dimensional (Q1D) time reversal invariant…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 E. Dumitrescu , T. D. Stanescu , S. Tewari

We demonstrate how the non-trivial interplay between spin-orbit coupling and nodeless $s$-wave superconductivity can drive a fully gapped two-band topological insulator into a time-reversal invariant gapless topological superconductor…

Superconductivity · Physics 2014-04-29 Shusa Deng , Gerardo Ortiz , Amrit Poudel , Lorenza Viola

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

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

Majorana fermions, quantum particles that are their own anti-particles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently…

Quantum Gases · Physics 2013-11-06 Chunlei Qu , Zhen Zheng , Ming Gong , Yong Xu , Li Mao , Xubo Zou , Guangcan Guo , Chuanwei Zhang

Whereas identification of Cooper pair symmetry is the first and crucial step in the investigation of unconventional superconductors, only a few have been established so far because of its own difficulties. To solve this problem, we develop…

Superconductivity · Physics 2021-06-09 Shingo Kobayashi , Yuki Yamazaki , Ai Yamakage , Masatoshi Sato

Flat-band Majorana bound states of nodal $p$-wave superconductors give rise to striking electromagnetic anomalies, reflecting their high degree of degeneracy at the Fermi level. However, experimental investigations of these states have been…

Superconductivity · Physics 2025-02-17 Yutaro Nagae , Leo Katayama , Satoshi Ikegaya

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

Topological superconducting phases with time-reversal (TR) symmetry have been widely explored in recent years. However the involved unconventional pairings are generally implausible in realistic materials. Here we demonstrate via detailed…

Quantum Gases · Physics 2015-11-06 Beibing Huang , Pak Hong Chui , Jia Liu , Chuanwei Zhang , Ming Gong

We show that Majorana fermions (MFs) exist in two- and three-dimensional (2D,3D) fermionic optical lattices with strictly 1D spin-orbit coupling (SOC) which has already been realized in ex- periments. For a quasi-1D topological BCS…

Quantum Gases · Physics 2015-08-18 Chunlei Qu , Ming Gong , Yong Xu , Sumanta Tewari , Chuanwei Zhang

We develop the complete theory for non-Abelian braiding of Majorana Kramers' pairs (MKPs) in time-reversal (TR) invariant topological superconductors. By introducing an effective Hamiltonian approach to describe the braiding of MKPs, we…

Superconductivity · Physics 2016-12-20 Pin Gao , Ying-Ping He , Xiong-Jun Liu

Line nodes in the superconducting gap are known to be a source of Majorana flat bands (MFBs) in time-reversal-invariant superconductors (SCs). Here, we extend this relation to all symmetry-protected line nodes where an additional constraint…

Superconductivity · Physics 2018-05-16 Shingo Kobayashi , Shuntaro Sumita , Youichi Yanase , Masatoshi Sato

Using a cryogenic scanning tunneling microscopy, we report the observation of topologically nontrivial superconductivity on a single material of \beta-Bi2Pd films grown by molecular beam epitaxy. The superconducting gap associated with…

Superconductivity · Physics 2017-06-20 Yan-Feng Lv , Wen-Lin Wang , Yi-Min Zhang , Hao Ding , Wei Li , Lili Wang , Ke He , Can-Li Song , Xu-Cun Ma , Qi-Kun Xue

We study the possibility of topological superconductivity in the noncentrosymmetric monolayer and trilayer TaS$_2$ with out-of-plane mirror symmetry. A gapless time-reversal invariant f+s-wave pairing state with even mirror parity is found…

Superconductivity · Physics 2019-08-14 Weipeng Chen , Jin An

We theoretically investigate the superconducting surface states of wallpaper fermions, which are surface quasiparticles of topological nonsymmorphic crystalline insulators protected by a wallpaper group $p4g$ symmetry, based on a…

Superconductivity · Physics 2026-03-13 Kaito Yoda , Ai Yamakage

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 investigate non-Abelian statistics of Majorana Kramers pairs (MKPs) in a network system of one-dimensional time-reversal invariant topological superconductors by using numerical simulations of braiding dynamics, and examine the tolerance…

Superconductivity · Physics 2022-09-01 Yuki Tanaka , Takumi Sanno , Takeshi Mizushima , Satoshi Fujimoto

We investigate the effect of introducing nearest-neighbor $p$-wave superconducting pairing to both the static and kicked extended Harper model with two periodic phase parameters acting as artificial dimensions to simulate three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2017-02-24 Huaiqiang Wang , Mengnan Chen , Raditya Weda Bomantara , Jiangbin Gong , Dingyu Xing

We report the emergence of Majorana flat bands (MFBs) in the vortex line of superconducting (SC) time-reversal-symmetry-breaking Weyl semimetals. By considering a Weyl semimetal as a stack of Chern insulators with varying Chern numbers…

Superconductivity · Physics 2026-03-05 Zhicheng Zhang , Kou-Han Ma

We propose helical topological superconductivity away from the Fermi surface in three-dimensional time-reversal-symmetric odd-parity multiband superconductors. In these systems, pairing between electrons originating from different bands is…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Masoud Bahari , Song-Bo Zhang , Chang-An Li , Sang-Jun Choi , Philipp Rüßmann , Carsten Timm , Björn Trauzettel