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We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and non-equilibrium superconducting proximity…

Superconductivity · Physics 2008-09-05 Michele Governale , Marco G. Pala , Jürgen König

In a recent breakthrough experiment [Nature (London) 614, 445 (2023)], signatures of Majorana zero modes have been observed in tunnel spectroscopy for a minimal Kitaev chain constructed from coupled quantum dots. However, as Ising anyons,…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Chun-Xiao Liu , Haining Pan , F. Setiawan , Michael Wimmer , Jay D. Sau

The recent realization of a two-site Kitaev chain featuring "poor man's Majorana" states demonstrates a path forward in the field of topological superconductivity. Harnessing the potential of these states for quantum information processing,…

A number of recent works have argued that quantum complexity, a well-known concept in computer science that has re-emerged recently in the context of the physics of black holes, may be used as an efficient probe of novel phenomena such as…

High Energy Physics - Theory · Physics 2023-02-08 Pawel Caputa , Nitin Gupta , S. Shajidul Haque , Sinong Liu , Jeff Murugan , Hendrik J. R. Van Zyl

A quantum dot coupled to a superconducting contact provides a tunable artificial analogue of a magnetic atom in a superconductor, a paradigmatic quantum impurity problem. We realize such a system with an InAs semiconductor nanowire…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Eduardo J. H. Lee , Xiaocheng Jiang , Rok Zitko , Ramon Aguado , Charles M. Lieber , Silvano De Franceschi

We demonstrate reliable machine-learned tuning of quantum-dot-based artificial Kitaev chains to Majorana sweet spots, using the covariance matrix adaptation algorithm. We show that a loss function based on local tunnelling-spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Jacob Benestad , Athanasios Tsintzis , Rubén Seoane Souto , Martin Leijnse , Evert van Nieuwenburg , Jeroen Danon

Topological superconductors (SCs) hold great promise for fault-tolerant quantum hardware, however, their experimental realization is very challenging. Recently, superconducting artificial molecules (Andreev molecules) have opened new…

In this project, we study the properties of a non-trivial topological system which exhibits localized edge states. In our study, we adress the Kitaev chain, a one-dimensional chain of atoms deposited on top of a p-wave superconductor that…

Strongly Correlated Electrons · Physics 2017-07-28 Rui Carlos Andrade Martins , Anselmo Miguel Magalhães Marques , Ricardo Assis Guimarães Dias

We investigate localization and topological properties of a dimerized Kitaev chain with p-wave superconducting correlations and a quasiperiodically modulated chemical potential. With regard to the localization studies, we demonstrate the…

Disordered Systems and Neural Networks · Physics 2023-01-25 Shilpi Roy , Sk Noor Nabi , Saurabh Basu

We study the in-gap states of the quantum dot hybridized to a conducting and superconducting electrode. The usual proximity effect suppresses electronic states over the entire subgap regime $|\omega| < \Delta$, where $\Delta$ denotes the…

Mesoscale and Nanoscale Physics · Physics 2013-10-14 J. Baranski , T. Domanski

Kitaev chains realized in quantum dots coupled via superconducting segments provide a controllable platform for engineering Majorana zero modes (MZMs). In these systems, subgap states in the hybrid region mediate the effective coupling…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 M. Alvarado , R. Seoane Souto , María José Calderón , Ramón Aguado

We discuss a quantum thermal machine that generates power from a thermally driven double quantum dot coupled to normal and superconducting reservoirs. Energy exchange between the dots is mediated by electron-electron interactions. We can…

Mesoscale and Nanoscale Physics · Physics 2022-09-19 S. Mojtaba Tabatabaei , David Sanchez , Alfredo Levy Yeyati , Rafael Sanchez

We elaborate on the topological order in the Kitaev chain, a p-wave superconductor with nearest-neighbor pairing amplitude equal to the hopping term Delta=t, and chemical potential mu=0. In particular, we write out the explicit eigenstates…

Strongly Correlated Electrons · Physics 2015-02-20 Martin Greiter , Vera Schnells , Ronny Thomale

Zero energy states in one dimensional SSH Kitaev hybrid systems have emerged as promising candidates for topological qubits. In our work, we show that introducing a domain wall into a chain with anisotropic superconducting correlations…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Griffith Rufo , Sabrina Rufo , Heron Caldas , Rosiane de Freitas

In recent years, experimental advances have made it possible to achieve an unprecedented degree of control over the properties of subgap bound states in hybrid nanoscale superconducting structures. This research has been driven by the…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Rubén Seoane Souto , Ramón Aguado

Coupling individual atoms via tunneling fundamentally changes the state of matter: electrons bound to atomic cores become delocalized resulting in a change from an insulating to a metallic state, as it is well known from the canonical…

We study the static and dynamical properties of a long-range Kitaev chain, i.e., a $p$-wave superconducting chain in which the superconducting pairing decays algebraically as $1/l^{\alpha}$, where $l$ is the distance between the two sites…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Utso Bhattacharya , Somnath Maity , Amit Dutta , Diptiman Sen

We study the transport properties of a hybrid nanostructure composed of a ferromagnet, two quantum dots, and a superconductor connected in series. By using the non-equilibrium Green's function approach, we have calculated the electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. C. Siqueira , G. G. Cabrera

Topological quantum computing typically relies on topological Andreev bound states (ABSs) engineered in hybrid superconductor-semiconductor devices, where gate control offers key advantages. While strong Zeeman fields can induce such…

Majorana modes can be engineered in arrays where quantum dots (QDs) are coupled via grounded superconductors, effectively realizing an artificial Kitaev chain. Minimal Kitaev chains, composed by two QDs, can host fully-localized Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 R. Seoane Souto , V. V. Baran , M. Nitsch , L. Maffi , J. Paaske , M. Leijnse , M. Burrello