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Disorder remains a major obstacle to realizing topological Majorana zero modes (MZMs) in superconductor-semiconductor nanowires, and we show how deep learning can be used to recover topological MZMs mitigating disorder even when the…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 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

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

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

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

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

To confirm the Majorana signatures, significant effort has been devoted to distinguishing between Majorana zero modes (MZMs) and spatially separated quasi-Majorana modes (QMMs). Because both MZMs and QMMs cause a quantized zero-bias peak in…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Donghao Liu , Zhan Cao , Xin Liu , Hao Zhang , Dong E. Liu

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

We theoretically consider transport properties of a normal metal (N)- superconducting semiconductor nanowire (S)-normal metal (N) structure (NSN) in the context of the possible existence of Majorana bound states in disordered…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Alejandro M. Lobos , S. Das Sarma

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

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…

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

Motivated by the recent experimental observation of the topological Anderson insulator in disordered atomic wires based on the Su-Schrieffer-Heeger (SSH) model, we study disorder effects on a dimerized Kitaev superconductor chain which is…

Mesoscale and Nanoscale Physics · Physics 2019-11-12 Chun-Bo Hua , Rui Chen , Dong-Hui Xu , Bin Zhou

Majorana zero modes (MZMs), emerging as exotic quasiparticles that carry non-Abelian statistics, hold great promise for achieving fault-tolerant topological quantum computation. A key signature of the presence of MZMs is the zero-bias peaks…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 Mouyang Cheng , Ryotaro Okabe , Abhijatmedhi Chotrattanapituk , Mingda Li

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

The goal of creating topologically protected qubits using non-Abelian anyons is currently one of the most exciting areas of research in quantum condensed matter physics. Majorana zero modes (MZM), which are non-Abelian anyons predicted to…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Berthold Jäck , Yonglong Xie , Ali Yazdani

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

We consider a simple conceptual question with respect to Majorana zero modes in semiconductor nanowires: Can the measured non-ideal values of the zero-bias-conductance-peak in the tunneling experiments be used as a characteristic to predict…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 S. Das Sarma , Amit Nag , Jay D. Sau

Detecting Majorana zero modes (MZMs) in topological superconductors remains challenging, as localized non-topological states can mimic MZM signatures. Here, we propose electron interferometry by non-local transport measurements as a…

Mesoscale and Nanoscale Physics · Physics 2024-10-11 Nadav Drechsler , Omri Lesser , Yuval Oreg

The non-Abelian statistics of Majorana fermions, their role in topological quantum computation, and the possibility of realizing them in condensed matter systems, has attracted considerable attention. While there have been recent reports of…

Strongly Correlated Electrons · Physics 2016-02-24 David Nozadze , Nandini Trivedi
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