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We develop a theory for the three-terminal nonlocal conductance in Majorana nanowires as existing in the superconductor-semiconductor hybrid structures in the presence of superconducting proximity, spin-orbit coupling, and Zeeman splitting.…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Haining Pan , Jay D. Sau , S. Das Sarma

Heavy metals, such as Au, Ag, and Pb, often have sharp surface states that are split by strong Rashba spin-orbit coupling. The strong spin-orbit coupling and two-dimensional nature of these surface states make them ideal platforms for…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 Andrew C. Potter , Patrick A. Lee

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

In this paper we study an s-wave topological SC with a square vortex-lattice. We proposed a topological Majorana lattice model to describe this topological state. We found that the Majorana lattice model is really a "topological SC" on the…

Superconductivity · Physics 2012-12-18 Jiang Zhou , Ya-Jie Wu , Rong-Wu Li , Jing He , Su-Peng Kou

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea

Vortices in topological superconductors host Majorana zero modes (MZMs), which are proposed to be building blocks of fault-tolerant topological quantum computers. Recently, a new single-material platform for realizing MZM has been…

The iron-based superconductors (FeSCs) have recently emerged as a promising single-material Majorana platform by hosting isolated Majorana zero modes (MZMs) at relatively high temperatures. To further verify its Majorana nature and move…

Majorana zero modes (MZMs) are highly sought-after states with a possible application in quantum computation. Here, we show that vortex-core MZMs can carry a nontrivial angular momentum. This establishes new `flavors' of Majorana modes,…

Superconductivity · Physics 2026-01-19 Giulia Venditti , Christophe Berthod , Louk Rademaker

The engineering of Majorana zero modes in topological superconductors, a new paradigm for the realization of topological quantum computing and topology-based devices, has been hampered by the absence of materials with sufficiently large…

Superconductivity · Physics 2023-01-18 Eric Mascot , Sagen Cocklin , Martin Graham , Mahdi Mashkoori , Stephan Rachel , Dirk K. Morr

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

The discovery of topologically non-trivial electronic systems has opened a new age in condensed matter research. From topological insulators to topological superconductors and Weyl semimetals, it is now understood that some of the most…

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

Superconductivity · Physics 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

A one-dimensional spin-orbit coupled nanowire with proximity-induced pairing from a nearby s-wave superconductor may be in a topological nontrivial state, in which it has a zero energy Majorana bound state at each end. We find that the…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 G. Kells , D. Meidan , P. W. Brouwer

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

Semiconductor nanowires have opened new research avenues in quantum transport owing to their confined geometry and electrostatic tunability. They have offered an exceptional testbed for superconductivity, leading to the realization of…

Motivated by recent experiments demonstrating intricate quantum Hall physics on the surface of elemental bismuth, we consider proximity coupling an $s$-wave superconductor to a two-dimensional electron gas with strong Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-03-25 Ryan V. Mishmash , A. Yazdani , Michael P. Zaletel

The coherence length of two Majorana zero energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of the Majorana zero modes at vortices in a…

Superconductivity · Physics 2023-06-14 Bo Fu , Shun-Qing Shen

Inspired by recent experimental discoveries of superconductivity in chirally-stacked and twisted multilayer graphene, we study models of $f$-wave superconductivity on the honeycomb lattice with arbitrary numbers of layers. These models…

Superconductivity · Physics 2024-09-26 Võ Ti\'ên Phong , Héctor Sainz-Cruz , Eugene J. Mele , Francisco Guinea

One-dimensional systems comprising s-wave superconductivity with meticulously tuned magnetism and spin-orbit coupling can realize topologically gapped superconductors hosting Majorana edge modes whose stability is determined by the gap's…

Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…