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We introduce non-Hermitian generalizations of Majorana zero modes (MZMs) which appear in the topological phase of a weakly dissipative Kitaev chain coupled to a Markovian bath. Notably, the presence of MZMs ensures that the steady state in…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Simon Lieu

Many topological or critical aspects of the Kitaev chain are well known, with several classic results. In contrast, the study of the critical behavior of the strong Majorana zero modes (MZM) has been overlooked. Here we introduce two…

Strongly Correlated Electrons · Physics 2023-11-14 Nicolas Laflorencie

We show that networks of topological nanowires can realize the physics of exactly solvable Kitaev spin models with two-body interactions. This connection arises from the description of the low-energy theory of both systems in terms of a…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 Graham Kells , Ville Lahtinen , Jiri Vala

Majorana zero modes (MZMs) are bound midgap topological excitations at the ends of a 1D topological superconductor, which must come in pairs. If the two MZMs in the pair are sufficiently well-separated by a distance much larger than their…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Haining Pan , Sankar Das Sarma

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 non-Abelian statistics of Majorana zero modes (MZMs) are central to fault-tolerant topological quantum computing. Planar Josephson junctions provide a particularly versatile platform for realizing robust topological superconductivity…

Superconductivity · Physics 2026-01-29 Richang Huang , Yongliang Hu , Xianzhang Chen , Peng Yu , Siwei Tan , Igor Zutic , Tong Zhou

The unambiguous identification of Majorana zero modes (MZMs) is one of the most outstanding problems of condensed matter physics. Thermal transport provides a detection tool that is sensitive to these chargeless quasiparticles. We study…

Mesoscale and Nanoscale Physics · Physics 2024-08-28 Raffael L. Klees , Daniel Gresta , Jonathan Sturm , Laurens W. Molenkamp , Ewelina M. Hankiewicz

Artificial Kitaev chains can be used to engineer Majorana bound states (MBSs) in superconductor-semiconductor hybrids. In this work, we realize a two-site Kitaev chain in a two-dimensional electrongas by coupling two quantum dots through a…

Majorana zero-modes (MZMs) are spatially-localized zero-energy fractional quasiparticles with non-Abelian braiding statistics that hold a great promise for topological quantum computing. Due to its particle-antiparticle equivalence, an MZM…

The prospect of using semiconductor quantum dots as an experimental tool to distinguish Majorana zero modes (MZMs) from other zero-energy excitations such as Kondo resonances has brought up the fundamental question of whether topological…

Strongly Correlated Electrons · Physics 2020-03-04 Joelson F. Silva , Luis G. G. V. Dias da Silva , E. Vernek

One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geometric manipulations (braiding) of multiple wires can be used…

Strongly Correlated Electrons · Physics 2024-07-19 Ivar Martin , Kartiek Agarwal

We propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Bradraj Pandey , Gonzalo Alvarez , Elbio Dagotto , Rui-Xing Zhang

Poor man's Majoranas (PMMs) hold the promise to engineer Majorana bound states in a highly tunable setup consisting of a chain of quantum dots that are connected via superconductors. Due to recent progress in controlling the amplitudes of…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Melina Luethi , Henry F. Legg , Daniel Loss , Jelena Klinovaja

A quantum computer based on Majorana qubits would contain a large number of zero-energy Majorana states. This system can be modelled as a connected network of the Ising-Kitaev chains alternating the "trivial" and "topological" regions, with…

Mesoscale and Nanoscale Physics · Physics 2017-05-04 B. N. Narozhny

Motivated by recent experimental reports of Majorana zero modes (MZMs) in quantum-dot systems at the ``sweet spot'', where the electronic hopping $t_h$ is equal to the superconducting coupling $\Delta$, we study the time-dependent…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Bradraj Pandey , Satoshi Okamoto , Elbio Dagotto

We analyze a system in which a topological Majorana zero mode (tMZM) combines with a Majorana produced by quantum frustration (fMZM) to produce a novel ground state. The system that we study combines two parts, a grounded topological…

Strongly Correlated Electrons · Physics 2020-07-08 Gu Zhang , Harold U. Baranger

We investigate the robustness of Majorana edge modes under disorder and interactions. We exploit a recently found mapping of the interacting Kitaev chain in the symmetric region ($\mu = 0$, $t = \Delta$) to free fermions. Extending the…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Max McGinley , Johannes Knolle , Andreas Nunnenkamp

We investigate the effects of coupling a local electromagnetic cavity to a segment of a topological Kitaev chain (KC), with particular emphasis on the interplay between photons and Majorana zero modes (MZMs). In addition to the well-known…

A chain of quantum dots (QDs) in semiconductor-superconductor hybrid systems can form an artificial Kitaev chain hosting Majorana bound states (MBSs). These zero-energy states are expected to be localised on the edges of the chain, at the…

I analyze the emergence of Majorana zero modes (MZM) in a one dimensional ultracold fermionic system confined by an optical lattice inside a high-Q cavity. This forms a quantum optical lattice due to the cavity backaction, with emergent…

Quantum Gases · Physics 2024-08-19 Santiago F. Caballero-Benitez