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Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

We consider a system consisting of a 2D network of links between Majorana fermions on superconducting islands. We show that the fermionic Hamiltonian modeling this system is topologically-ordered in a region of parameter space. In…

Quantum Physics · Physics 2012-07-25 Barbara M. Terhal , Fabian Hassler , David P. DiVincenzo

We demonstrate that an exotically chiral f-wave topological superfluid can be induced in coldfermionic-atom triangular optical lattices through the laser-field-generated effective non-Abelian gauge field, controllable Zeeman fields and…

Quantum Gases · Physics 2015-06-25 Ningning Hao , Guocai Liu , Ning Wu , Jiangping Hu , Yupeng Wang

A new method is introduced for probing Topological Superconductors. The integration of the superconding fermions generates a topological $\mathbf{Chern-Simons}$ sound action . Dislocations induce Majorana zero modes inside the sample,…

Superconductivity · Physics 2015-01-27 D. Schmeltzer

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

Proximity-induced superconductivity in low-dimensional systems offers a powerful pathway to engineer topological superconducting phases in, otherwise, non-superconducting systems. These exotic phases are of fundamental and technological…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 M. García Olmos , Y. Baba , R. A. Molina , M. Amado

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

We show that the $\nu=8$ integer quantum Hall state can support Majorana zero modes at domain walls between its two different stable chiral edge phases without superconductivity. This is due to the existence of an edge phase that does not…

Strongly Correlated Electrons · Physics 2015-12-08 Jennifer Cano , Meng Cheng , Maissam Barkeshli , David J. Clarke , Chetan Nayak

In this manuscript I present new hybrid devices based on multi-wire/channel Rashba semiconductors, which harbor Majorana fermions (MFs) without a Zeeman field. In contrast, magnetic fluxes, supercurrents or electric fields can be employed,…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Panagiotis Kotetes

We propose a protocol to detect topological phase transitions of one-dimensional $p$-wave superconductors from their harmonic emission spectrum in strong fields. Specifically, we identify spectral features due to radiating edge modes, which…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Niccolò Baldelli , Utso Bhattacharya , Daniel González-Cuadra , Maciej Lewenstein , Tobias Graß

We show that corner Majorana zero modes in a two-dimensional $p+id$ topological superconductor can be controlled by the manipulation of the parent $p-$wave superconducting order. Assuming that the $p$-wave superconducting order is in either…

Superconductivity · Physics 2022-02-09 Morten Amundsen , Vladimir Juričić

A superconductor with $p_x+ip_y$ order has long fascinated the physics community because vortex defects in such a system host Majorana zero modes. Here we propose a simple construction of a chiral superconductor using proximitized quantum…

Superconductivity · Physics 2021-03-10 Tarun Tummuru , Oguzhan Can , Marcel Franz

We study an analytically solvable and experimentally relevant number-conserving periodically driven $p$-wave superconductor. Such a system is found to support generalized Majorana zero and $\pi$ modes which, despite being non-Hermitian, are…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Raditya Weda Bomantara

We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

We study the ground state of spinless fermions living on a sphere across $p$-wave Feschbach resonances. By construsting a microscopic model of fermions on a general curved surface, we show that the Guassian curvature induces an emergent…

Quantum Gases · Physics 2016-12-13 Ruihua Fan , Pengfei Zhang , Zhe-Yu Shi

We propose the concept of a device based on a square-shaped sample of a two-dimensional second-order topological helical superconductor which hosts two zero-dimensional Majorana quasiparticles at the corners. The two zero-energy modes rely…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Tudor E. Pahomi , Manfred Sigrist , Alexey A. Soluyanov

Higher-order topological superconductors host Majorana zero modes localized at corners or hinges, providing a promising route toward scalable and controllable Majorana networks without vortices or magnetic flux. Here we propose a…

Superconductivity · Physics 2026-02-06 Yongting Shi , Qing Wang , Zhen-Guo Fu , Ping Zhang , Ning Hao

Topological superconductors are gapped superconductors with gapless and topologically robust quasiparticles propagating on the boundary. In this paper, we present a topological field theory description of three-dimensional time-reversal…

Superconductivity · Physics 2013-04-29 Xiao-Liang Qi , Edward Witten , Shou-Cheng Zhang

We show that the topological Majorana modes in nanowires much longer than the superconducting coherence length are adiabatically connected with discrete zero-energy states generically occurring in short nanowires. We demonstrate that these…

Superconductivity · Physics 2013-03-27 Tudor D. Stanescu , Roman M. Lutchyn , S. Das Sarma

One-dimensional systems proximity-coupled to a superconductor can be driven into a topological superconducting phase by an external magnetic field. Here, we investigate the effect of vortices created by the magnetic field in a type-II…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Alexander Nikolaenko , Falko Pientka