# Topological Superconductivity & Majorana Modes Domain: Superconductivity & Quantum Materials · 240 papers indexed · newest 2026-10-29 Majorana zero modes in nanowires, Kitaev chains, vortex-bound states in iron-based materials and the reproducibility debate. Key concepts: topological superconductivity, Majorana, Kitaev chain, nanowire, zero-bias peak, parity measurement ## Most influential - **[Majorana Zero Modes and Topological Quantum Computation](https://space-kitty.com/papers/arxiv:1501.02813)**. Sankar Das Sarma, Michael Freedman, Chetan Nayak · 2015 · npj Quantum Information 1, 15001 (2015) (arXiv:1501.02813 · doi:10.1038/npjqi.2015.1 · 1,183 citations). Source: > We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future information processing devices through braiding-based topological quantum computation. Well-separated Majorana zero modes should manifest non-Abelian braiding statistics suitable for unitary gate operations for topological quantum computation. Recent experimental work, following earlier theoretical predictions, has shown specific signatures consistent with the existen… - **[Realizing Majorana zero modes in superconductor-semiconductor heterostructures](https://space-kitty.com/papers/arxiv:1707.04899)**. R. M. Lutchyn, E. P. A. M. Bakkers, L. P. Kouwenhoven et al. · 2017 · Nat Rev Mater 3, 52 - 68 (2018) (arXiv:1707.04899 · doi:10.1038/s41578-018-0003-1 · 1,087 citations). Source: > Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor proposals for topological superconductivity. Material science progress and robust signatures of Majorana zero modes in recent experiments are discussed. After a brief introduction to the subject, we outline several next-generation experiments probing exotic properties of Majorana zero modes, including fusion rules and non-Abelian exchange statistics. Finall… - **[Exponential protection of zero modes in Majorana islands](https://space-kitty.com/papers/arxiv:1603.03217)**. S. M. Albrecht, Andrew P. Higginbotham, Morten Hannibal Madsen et al. · 2016 · Nature (arXiv:1603.03217 · doi:10.1038/nature17162 · 1,072 citations). Source: > Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers \[1\]. They are expected to exhibit non-Abelian particle statistics, in contrast to the usual statistics of fermions and bosons, enabling quantum operations to be performed by braiding isolated modes around one another. Quantum braiding operations are topologically protected insofar as these modes are pinned near zero energy, and the pinning is predicted to be exponential as the modes become spatially separated. Following theoretical proposa… - **[Superconductor-nanowire devices from tunneling to the multichannel regime: Zero-bias oscillations and magnetoconductance crossover](https://space-kitty.com/papers/arxiv:1303.2407)**. Hugh Churchill, Valla Fatemi, Kasper Grove‐Rasmussen et al. · 2013 · Physical Review B (arXiv:1303.2407 · doi:10.1103/physrevb.87.241401 · 773 citations). Source: > We present transport measurements in superconductor-nanowire devices with a gated constriction forming a quantum point contact. Zero-bias features in tunneling spectroscopy appear at finite magnetic fields, and oscillate in amplitude and split away from zero bias as a function of magnetic field and gate voltage. A crossover in magnetoconductance is observed: Magnetic fields above ~ 0.5 T enhance conductance in the low-conductance (tunneling) regime but suppress conductance in the high-conductance (multichannel) regime. We consider these results in the context of Majorana zero modes as well as … - **[From Andreev to Majorana bound states in hybrid superconductor–semiconductor nanowires](https://space-kitty.com/papers/arxiv:1911.04512)**. Elsa Prada, Pablo San-José, Michiel W. A. de Moor et al. · 2020 · Nature Reviews Physics (arXiv:1911.04512 · doi:10.1038/s42254-020-0228-y · 497 citations). Source: > Electronic excitations above the ground state must overcome an energy gap in superconductors with spatially-homogeneous s-wave pairing. In contrast, inhomogeneous superconductors such as those with magnetic impurities or weak links, or heterojunctions containing normal metals or quantum dots, can host subgap electronic excitations that are generically known as Andreev bound states (ABSs). With the advent of topological superconductivity, a new kind of ABS with exotic qualities, known as Majorana bound state (MBS), has been discovered. We review the main properties of ABSs and MBSs, and the sta… - **[Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states](https://space-kitty.com/papers/arxiv:1206.1276)**. Jie Liu, Andrew C. Potter, K. T. Law et al. · 2012 · Phys. Rev. Lett. 109, 267002 (2012) (arXiv:1206.1276 · doi:10.1103/physrevlett.109.267002 · 481 citations). Source: > One of the simplest proposed experimental probes of a Majorana bound-state is a quantized (2e^2/h) value of zero-bias tunneling conductance. When temperature is somewhat larger than the intrinsic width of the Majorana peak, conductance is no longer quantized, but a zero-bias peak can remain. Such a non-quantized zero-bias peak has been recently reported for semiconducting nanowires with proximity induced superconductivity. In this paper we analyze the relation of the zero-bias peak to the presence of Majorana end-states, by simulating the tunneling conductance for multi-band wires with realist… - **[Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems](https://space-kitty.com/papers/arxiv:1006.2829)**. Jay Deep Sau, Sumanta Tewari, Roman M. Lutchyn et al. · 2010 · Physical Review B (arXiv:1006.2829 · doi:10.1103/physrevb.82.214509 · 492 citations). Source: > We show that an ordinary semiconducting thin film with spin-orbit coupling can, under ap- propriate circumstances, be in a quantum topologically ordered state supporting exotic Majorana excitations which follow non-Abelian statistics. The key to the quantum topological order is the coexistence of spin-orbit coupling with proximity-induced s-wave superconductivity and an externally-induced Zeeman coupling of the spins. For the Zeeman coupling below a critical value, the system is a non-topological (proximity-induced) s-wave superconductor. However, for a range of Zeeman coupling above the criti… - **[Majorana fermions in semiconductor nanowires: fundamentals, modeling, and experiment](https://space-kitty.com/papers/arxiv:1302.5433)**. Tudor D. Stanescu, Sumanta Tewari · 2013 · Journal of Physics Condensed Matter (arXiv:1302.5433 · doi:10.1088/0953-8984/25/23/233201 · 468 citations). Source: > After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is not over yet. Originally proposed by E. Majorana in the context of particle physics, Majorana fermions have a condensed matter analog in the zero-energy bound states emerging in topological superconductors. A promising route to engineering topological superconductors capable of hosting Majorana zero modes consists of proximity coupling semiconductor thin fi… - **[Majorana Fermions in Semiconductor Nanowires](https://space-kitty.com/papers/arxiv:1106.3078)**. Tudor Stanescu, Roman M. Lutchyn, S. Das Sarma · 2011 · Phys. Rev. B 84, 144522 (2011) (arXiv:1106.3078 · doi:10.1103/physrevb.84.144522 · 405 citations). Source: > We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state corresponds to a superconducting phase supporting an odd number of pairs of Majorana modes localized at the ends of the wire, whereas the non-topological state corresponds to a superconducting phase with no Majoranas or with an even number of pairs of Majorana modes. Our key finding is that multiband occupancy not only lifts the stringent constraint of one-dimensional… - **[Ballistic Majorana nanowire devices](https://space-kitty.com/papers/arxiv:1603.04069)**. Önder Gül, Hao Zhang, Jouri D. S. Bommer et al. · 2016 · Nature Nanotechnology (2018) (arXiv:1603.04069 · doi:10.1038/s41565-017-0032-8 · 351 citations). Source: > 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 experiments reported characteristic Majorana signatures. Reducing disorder has been a prime challenge for these experiments because disorder can mimic the zero-energy signatures of Majoranas, and renders the topological properties inaccessible. Here, we show characteristic Majorana signatures in InSb nanowire devices exhibiting clear ballistic transport propertie… - **[Physical mechanisms for zero-bias conductance peaks in Majorana nanowires](https://space-kitty.com/papers/arxiv:1910.11413)**. Haining Pan, S. Das Sarma · 2019 · Phys. Rev. Research 2, 013377 (2020) (arXiv:1910.11413 · doi:10.1103/physrevresearch.2.013377 · 243 citations). Source: > Motivated by the need to understand and simulate the ubiquitous experimentally-observed zero-bias conductance peaks in superconductor-semiconductor hybrid structures, we theoretically investigate the tunneling conductance spectra in one-dimensional nanowires in proximity to superconductors in a systematic manner taking into account several different physical mechanisms producing zero-bias conductance peaks. The mechanisms we consider are the presence of quantum dots, inhomogeneous potential, random disorder in the chemical potential, random fluctuations in the superconducting gap, and in the e… - **[Splitting of the zero-bias conductance peak as smoking gun evidence for the existence of the Majorana mode in a superconductor-semiconductor nanowire](https://space-kitty.com/papers/arxiv:1211.0539)**. S. Das Sarma, Jay Deep Sau, Tudor D. Stanescu · 2012 · Physical Review B (arXiv:1211.0539 · doi:10.1103/physrevb.86.220506 · 313 citations). Source: > Recent observations of a zero bias conductance peak in tunneling transport measurements in superconductor--semiconductor nanowire devices provide evidence for the predicted zero--energy Majorana modes, but not the conclusive proof for their existence. We establish that direct observation of a splitting of the zero bias conductance peak can serve as the smoking gun evidence for the existence of the Majorana mode. We show that the splitting has an oscillatory dependence on the Zeeman field (chemical potential) at fixed chemical potential (Zeeman field). By contrast, when the density is constant … - **[A zero-voltage conductance peak from weak antilocalization in a Majorana nanowire](https://space-kitty.com/papers/arxiv:1206.6687)**. Dmitry I. Pikulin, Jan P. Dahlhaus, Michael Wimmer et al. · 2012 · New Journal of Physics (arXiv:1206.6687 · doi:10.1088/1367-2630/14/12/125011 · 308 citations). Source: > We show that weak antilocalization by disorder competes with resonant Andreev reflection from a Majorana zero-mode to produce a zero-voltage conductance peak of order e^2/h in a superconducting nanowire. The phase conjugation needed for quantum interference to survive a disorder average is provided by particle-hole symmetry - in the absence of time-reversal symmetry and without requiring a topologically nontrivial phase. We identify methods to distinguish the Majorana resonance from the weak antilocalization effect. - **[Detecting a Majorana-fermion zero mode using a quantum dot](https://space-kitty.com/papers/arxiv:1107.4338)**. Dong E. Liu, Harold U. Baranger · 2011 · Physical Review B (arXiv:1107.4338 · doi:10.1103/physrevb.84.201308 · 294 citations). Source: > We propose an experimental setup for detecting a Majorana zero mode consisting of a spinless quantum dot coupled to the end of a p-wave superconducting nanowire. The Majorana bound state at the end of the wire strongly influences the conductance through the quantum dot: Driving the wire through the topological phase transition causes a sharp jump in the conductance by a factor of 1/2. In the topological phase, the zero temperature peak value of the dot conductance (i.e. when the dot is on resonance and symmetrically coupled to the leads) is e^2/2h. In contrast, if the wire is in its trivial ph… - **[Topological Invariants for Spin-Orbit Coupled Superconductor Nanowires](https://space-kitty.com/papers/arxiv:1111.6592)**. Sumanta Tewari, Jay Deep Sau · 2012 · Physical Review Letters (arXiv:1111.6592 · doi:10.1103/physrevlett.109.150408 · 288 citations). Source: > We show that a spin-orbit coupled semiconductor nanowire with Zeeman splitting and s-wave superconductivity is in symmetry class BDI (not D as is commonly thought) of the topological classification of band Hamiltonians. The class BDI allows for an integer Z topological invariant equal to the number of Majorana fermion (MF) modes at each end of the quantum wire protected by the chirality symmetry (reality of the Hamiltonian). Thus it is possible for this system (and all other d=1 models related to it by symmetry) to have an arbitrary integer number, not just 0 or 1 as is commonly assumed, of MF… ## Newest - **[Majorana Zero Modes in Fractional Vortices](https://space-kitty.com/papers/arxiv:2610.39942)**. Lecheng Fang, Haotian Li, Haijiao Ji et al. · 2026 (arXiv:2610.39942). Source: - **[Magnetotransport experiments on side-contacted topological insulator three-terminal Josephson junctions](https://space-kitty.com/papers/arxiv:2610.40083)**. Christoph Wassmer, Ella Nikodem, Oliver Breunig et al. · 2026 (arXiv:2610.40083). Source: - **[Chiral superconductivity on a closed Klein bottle: a chirality wall and its Majorana seam spectrum](https://space-kitty.com/papers/arxiv:2610.40251)**. Junhao, Wang · 2026 (arXiv:2610.40251). Source: - **[Topological Quantum Spin Liquids in a Ladder with Majorana fermions and p-wave Superconductivity](https://space-kitty.com/papers/arxiv:2610.40297)**. Magali Korolev, Fan Yang, Erik S. Sørensen et al. · 2026 (arXiv:2610.40297). Source: - **[Gravitational anomaly spectroscopy of a Kitaev spin liquid](https://space-kitty.com/papers/arxiv:2610.38704)**. Kumar Ghosh · 2026 (arXiv:2610.38704). Source: - **[Magnetic Imaging with High Spatial Resolution Using a Single Niobium-Nitride-Based Three-Dimensional Nanobridge Junction](https://space-kitty.com/papers/arxiv:2610.36856)**. Yinping Pan, Yue Wang, Xinxin Fan et al. · 2026 · ACS Nano 19, 33789 (2025) (arXiv:2610.36856 · doi:10.1021/acsnano.5c06397). Source: - **[Field theory of competing phases in the interacting Kitaev chain](https://space-kitty.com/papers/arxiv:2610.37761)**. Pradip Kattel, Thierry Giamarchi · 2026 (arXiv:2610.37761). Source: - **[Parity-Resolved Many-Body Kinetics of a Topological Qubit under Nonequilibrium Phonon Pulses](https://space-kitty.com/papers/arxiv:2610.37793)**. Han Huang · 2026 (arXiv:2610.37793). Source: - **[Proximity-Induced Giant Majorana Spin Response in a UTe$\_2$-Metal Film Heterostructure](https://space-kitty.com/papers/arxiv:2610.36053)**. Jushin Tei, Makoto Shimizu, Yukio Tanaka et al. · 2026 (arXiv:2610.36053). Source: - **[Effect of oxygen plasma treatment on the structural and superconducting properties of atomic-layer-deposited NbN thin films](https://space-kitty.com/papers/arxiv:2610.32529)**. Nitesh Yerra, Mustafa Teke, Felix Otto et al. · 2026 (arXiv:2610.32529). Source: --- Space Kitty Archive · https://space-kitty.com · API: https://space-kitty.com/api/v1 · MCP: https://space-kitty.com/mcp · Premium: $0.20/request via x402 (Base Sepolia (testnet)). Metadata: arXiv (CC0), OpenAlex (CC0), Europe PMC (CC BY/CC0 works), ClinicalTrials.gov.