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We introduce exactly solvable models of interacting (Majorana) fermions in $d \ge 3$ spatial dimensions that realize a new kind of topological quantum order, building on a model presented in ref. [1]. These models have extensive topological…

Strongly Correlated Electrons · Physics 2015-12-30 Sagar Vijay , Jeongwan Haah , Liang Fu

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor. We show that when odd number of subbands are occupied the system realizes non-trivial topological state supporting Majorana modes localized at the…

Superconductivity · Physics 2011-03-31 Roman M. Lutchyn , Tudor Stanescu , S. Das Sarma

The possible realization of Majorana fermions as quasiparticle excitations in condensed matter physics has created much excitement. Most recent studies have focused on Majorana bound states which can serve as topological qubits. More…

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Pasquale Marra , Daisuke Inotani , Muneto Nitta

We investigate the collisions of Majorana zero modes, which are presented as inter-soliton collisional events in fermionic superfluids with spin-orbit coupling. Our results demonstrate that, the zero energy splitting, induced by the…

Quantum Gases · Physics 2023-12-27 Liang-Liang Wang , Wenjun Shao , Jian Li

For the past decade, Majorana quasiparticles have become one of the hot topics in condensed matter research. Besides the fundamental interest in the realization of particles being their own antiparticles, going back to basic concepts of…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Stephan Rachel , Roland Wiesendanger

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

We theoretically explore quench dynamics in a finite-sized topological fermionic p-wave superconducting wire with the goal of demonstrating that topological order can have marked effects on such non-equilibrium dynamics. In the case studied…

Strongly Correlated Electrons · Physics 2015-05-26 Suraj Hegde , Vasudha Shivamoggi , Smitha Vishveshwara , Diptiman Sen

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 investigate the topological properties of spin polarized fermionic polar molecules loaded in a multi-layer structure with the electric dipole moment polarized to the normal direction. When polar molecules are paired by attractive…

Quantum Gases · Physics 2019-05-01 Ching-Yu Huang , Yen-Ting Lin , Hao Lee , Daw-Wei Wang

Interesting phases of quantum matter often arise when the constituent particles -- electrons in solids -- interact strongly. Such strongly interacting systems are however quite rare and occur only in extreme environments of low spatial…

Strongly Correlated Electrons · Physics 2015-04-03 Ching-Kai Chiu , D. I. Pikulin , M. Franz

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

We study a vortex chain in a thin film of a topological insulator with proximity-induced superconductivity---a promising platform to realize Majorana zero modes (MZMs)---by modeling it as a two-leg Majorana ladder. While each pair of MZMs…

Superconductivity · Physics 2017-06-16 Hsiang-Hsuan Hung , Jiansheng Wu , Kuei Sun , Ching-Kai Chiu

Majorana zero modes at the boundaries of topological superconductors are charge-neutral, an equal superposition of electrons and holes. This ideal situation is, however, hard to achieve in physical implementations, such as proximitised…

Mesoscale and Nanoscale Physics · Physics 2017-03-09 Fernando Domínguez , Jorge Cayao , Pablo San-Jose , Ramón Aguado , Alfredo Levy Yeyati , Elsa Prada

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

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

Topological excitations in many-body systems are one of the paradigmatic cornerstones of modern condensed matter physics. In particular, parafermions are elusive fractional excitations potentially emerging in fractional quantum…

Strongly Correlated Electrons · Physics 2021-02-01 Vilja Kaskela , J. L. Lado

It was recently proposed that the interface between a graphene nanoribbon in the canted antiferromagnetic quantum Hall state and a s-wave superconductor may present topological superconductivity, resulting in the appearance of Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 A. L. R. Manesco , D. Rodrigues , G. Weber

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

Majorana fermion (MF) excitations in solid state system have non-Abelian statistics which is essential for topological quantum computation. Previous proposals to realize MF, however, generally requires fine-tuning of parameters. Here we…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Hoi-Yin Hui , P. M. R. Brydon , Jay D. Sau , S. Tewari , S. Das Sarma