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1D superconductor-semiconductor nanowires are the leading candidates for topological quantum computation due to their ability to host non-Abelian Majorana zero modes (MZMs). However, the standard methods for identifying MZMs are often…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Jacob R. Taylor , Sankar Das Sarma

The interplay of disorder and short finite wire length is the crucial physics hindering progress in the semiconductor-superconductor nanowire platform for realizing non-Abelian Majorana zero modes (MZM). Disorder effectively segments the…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Haining Pan , Sankar Das Sarma

As the complexity of quantum systems such as quantum bit arrays increases, efforts to automate expensive tuning are increasingly worthwhile. We investigate machine learning based tuning of gate arrays using the CMA-ES algorithm for the case…

Mesoscale and Nanoscale Physics · Physics 2023-03-21 Matthias Thamm , Bernd Rosenow

We develop a practical machine learning approach to determine the disorder landscape of Majorana nanowires by using training of the conductance matrix and inverting the conductance data in order to obtain the disorder details in the system.…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Jacob R. Taylor , Jay D. Sau , Sankar Das Sarma

Motivated by a recent breakthrough transport experiment [Phys. Rev. B.107.245423 (2023)] in Majorana nanowires, we theoretically investigate local and nonlocal transport in Majorana nanowires in various disorder regimes, correlating the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Sankar Das Sarma , Haining Pan

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

We use the available transport measurements in the literature to develop a dataset for the likely amount of disorder in semiconductor (InAs and InSb) materials which are used in fabricating the superconductor-semiconductor nanowire samples…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Seongjin Ahn , Haining Pan , Benjamin Woods , Tudor D. Stanescu , Sankar Das Sarma

Majorana modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor, several tunneling…

Majorana zero modes in superconductor-nanowire hybrid structures are a promising candidate for topologically protected qubits with the potential to be used in scalable structures. Currently, disorder in such Majorana wires is a major…

Mesoscale and Nanoscale Physics · Physics 2024-01-22 Matthias Thamm , Bernd Rosenow

We consider theoretically the physics of bulk topological superconductivity accompanied by boundary non-Abelian Majorana zero modes in semiconductor-superconductor (SM-SC) hybrid systems consisting of finite wires in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Sankar Das Sarma , Jay D. Sau , Tudor D. Stanescu

We consider the superconductor-semiconductor nanowire hybrid Majorana platform ("Majorana nanowire") in the presence of a deterministic spatially slowly varying inhomogeneous chemical potential and a random spatial quenched potential…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Haining Pan , Sankar Das Sarma

Topological invariants, rigorously defined only in the thermodynamic limit, have been generalized to topological indicators applicable to finite-size disordered systems. However, in many experimentally relevant situations, such as…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Robert Eissele , Binayyak B. Roy , Sumanta Tewari , Tudor D. Stanescu

It was recently suggested that proximitized gate-defined Ge hole nanowires could serve as an alternative materials platform for the realization of topological Majorana zero modes (MZMs). Here, we theoretically study the expected…

Mesoscale and Nanoscale Physics · Physics 2024-11-06 Katharina Laubscher , Jay D. Sau , Sankar Das Sarma

The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

We propose a neural network-based model capable of learning the broad landscape of working regimes in quantum dot simulators, and using this knowledge to autotune these devices - based on transport measurements - toward obtaining Majorana…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Mateusz Krawczyk , Jarosław Pawłowski

In unsupervised learning, the training data for deep learning does not come with any labels, thus forcing the algorithm to discover hidden patterns in the data for discerning useful information. This, in principle, could be a powerful tool…

Disordered Systems and Neural Networks · Physics 2025-12-17 Jacob Taylor , Haining Pan , Sankar Das Sarma

The realization of robust Majorana zero modes (MZMs), a cornerstone for fault-tolerant quantum computing, is hindered by the challenge of creating a platform that simultaneously offers a large topological gap, high tunability, and…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Xiao-Hong Pan , Si-Qi Yu , Li Chen , Fu-Chun Zhang , Xin Liu

We study a disordered superconducting nanowire, with broken time-reversal and spin-rotational symmetry, which can be driven into a topological phase with end Majorana bound states by an externally applied magnetic field. As a function of…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Benjamin M. Fregoso , Alejandro M. Lobos , S. Das Sarma

Predictions of topological p-wave superconductivity and Majorana zero modes (MZMs) in hybrid superconductor-semiconductor nanowires have been difficult to realize experimentally. Consequently, researchers are actively exploring alternative…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Francisco Lobo , Elsa Prada , Pablo San-Jose

We explore the tunneling transport properties of a quantum dot embedded in an optical microcavity and coupled to a semiconductor-superconductor one-dimensional nanowire (Majorana nanowire) hosting Majorana zero modes (MZMs) at their edges.…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 L. S. Ricco , V. K. Kozin , A. C. Seridonio , I. A. Shelykh
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