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Majorana bound states emerge in topological superconductors as zero-energy edge states exhibiting spatial nonlocality. Despite the enormous advances, the detection of Majorana bound states is still challenging mainly because topologically…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Vimalesh Kumar Vimal , Jorge Cayao

We theoretically explore the emergence of strong zero modes in a two-site chain consisting of two quantum dots coupled due to a central dot that mediates electron hopping and singlet superconducting pairing. In the presence of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 A. Mert Bozkurt , Sebastian Miles , Sebastiaan L. D. ten Haaf , Chun-Xiao Liu , Fabian Hassler , Michael Wimmer

We introduce a new type of one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing. We find three physical regimes in this model by tuning the $p$-wave pairing and the chemical potential of the system. In the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

The search for Majorana bound states in solid-state physics has been limited to materials which display a gap in their bulk spectrum. We show that such unpaired states appear in certain quasi-one-dimensional Josephson junctions arrays with…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 M. Pino , A. M. Tsvelik , L. B. Ioffe

The fermionic Kitaev chain is a canonical model featuring topological Majorana zero modes. We report the experimental realization of its bosonic analogue in a nano-optomechanical network where parametric interactions induce two-mode…

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

The bulk-boundary correspondence of topological phases suggests strong connections between the topological features in a d+1-dimensional bulk and the potentially gapless theory on the (d-1)+1-dimensional boundary. In 2+1D topological…

Strongly Correlated Electrons · Physics 2024-07-03 Wenjie Ji , Xie Chen

The Kondo effect is a striking consequence of the coupling of itinerant electrons to a quantum spin with degenerate energy levels. While degeneracies are commonly thought to arise from symmetries or fine-tuning of parameters, the recent…

Mesoscale and Nanoscale Physics · Physics 2012-10-11 B. Béri , N. R. Cooper

Low-energy excitations in spin 1/2 antiferromagnetic Heisenberg spin ladders are studied by bosonization and gauge theoretical description. It is explicitly shown that zero modes in the bosonization play an essentially important role.…

Condensed Matter · Physics 2009-10-30 Ikuo Ichinose , Yasuyuki Kayama

Topological excitations in magnetically ordered systems have attracted much attention lately. We report on topological magnon bands in ferromagnetic Shastry-Sutherland lattices whose edge modes can be put to use in magnonic devices. The…

Strongly Correlated Electrons · Physics 2019-05-16 M. Malki , G. S. Uhrig

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

The edges of a two-dimensional topological phase of matter serve as a platform underlying its low-energy dynamics. The topology of the bulk phase dictates the structure of the gapless modes. Proximitizing boundary modes to another boundary,…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Jinhong Park , Yuval Gefen

We show that semiconductor nanowires coupled to an s-wave superconductor provide a playground to study effects of interactions between different topological superconducting phases supporting Majorana zero-energy modes. We consider quasi-one…

Superconductivity · Physics 2011-12-30 Roman M. Lutchyn , Matthew P. A. Fisher

Passive resonators-systems that exhibit loss but no gain-are foundational elements across nearly every domain of physics and many types of of systems such as subwavelength particles, dielectric slabs, electric circuits, biological…

Optics · Physics 2025-06-05 Asaf Farhi , Dror Hershkovitz , Haim Suchowski

We report the findings of fractional topological states in one-dimensional periodically modulated quantum spin chains with up to third neighbor interactions. By exact numerical studies, we demonstrate the existence of topologically…

Strongly Correlated Electrons · Physics 2016-04-27 Haiping Hu , Huaiming Guo , Shu Chen

We show how to exploit the rich hyperfine structure of fermionic alkali atoms to produce a quasi-1D topological superfluid while avoiding excessive heating from off-resonant scattering. We model interacting fermions where four hyperfine…

Quantum Gases · Physics 2014-01-31 Junjun Xu , Qiang Gu , Erich J. Mueller

We present a detailed study of the topological properties of the Kitaev chain with long-range pairing terms and in the presence of an Aubry-Andr\'e-Harper on-site potential. Specifically, we consider algebraically decaying superconducting…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Debraj Rakshit , Maciej Lewenstein , Alexandre Dauphin

Parafermions are Zn generalisations of Majorana quasiparticles, with fractional non-Abelian statistics. They can be used to encode topological qudits and perform Clifford operations by their braiding. We study the simplest case of the Z3…

Condensed matter systems admit topological collective excitations above a trivial ground state, an example being Chern insulators formed by Dirac bosons with a gap at finite energies. However, in contrast to electrons, there is no…

Strongly Correlated Electrons · Physics 2021-06-30 Alexander Mook , Kirill Plekhanov , Jelena Klinovaja , Daniel Loss