Topological Superconductivity & Majorana Modes
Majorana zero modes in nanowires, Kitaev chains, vortex-bound states in iron-based materials and the reproducibility debate.
Most influential
- Majorana Zero Modes and Topological Quantum Computation
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 m…
Article1,183 citationsarXiv:1501.02813doi:10.1038/npjqi.2015.1 - Realizing Majorana zero modes in superconductor-semiconductor heterostructures
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 …
Review1,087 citationsarXiv:1707.04899doi:10.1038/s41578-018-0003-1 - Exponential protection of zero modes in Majorana islands
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 aroun…
Article1,072 citationsarXiv:1603.03217doi:10.1038/nature17162 - Superconductor-nanowire devices from tunneling to the multichannel regime: Zero-bias oscillations and magnetoconductance crossover
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:…
Article773 citationsarXiv:1303.2407doi:10.1103/physrevb.87.241401 - From Andreev to Majorana bound states in hybrid superconductor–semiconductor nanowires
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 …
Review497 citationsarXiv:1911.04512doi:10.1038/s42254-020-0228-y - Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
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 …
Article481 citationsarXiv:1206.1276doi:10.1103/physrevlett.109.267002 - Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems
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 superconduct…
Article492 citationsarXiv:1006.2829doi:10.1103/physrevb.82.214509 - Majorana fermions in semiconductor nanowires: fundamentals, modeling, and experiment
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…
Article468 citationsarXiv:1302.5433doi:10.1088/0953-8984/25/23/233201 - Majorana Fermions in Semiconductor Nanowires
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, wher…
Article405 citationsarXiv:1106.3078doi:10.1103/physrevb.84.144522 - Ballistic Majorana nanowire devices
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 b…
Article351 citationsarXiv:1603.04069doi:10.1038/s41565-017-0032-8 - Physical mechanisms for zero-bias conductance peaks in Majorana nanowires
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…
Article243 citationsarXiv:1910.11413doi:10.1103/physrevresearch.2.013377 - Splitting of the zero-bias conductance peak as smoking gun evidence for the existence of the Majorana mode in a superconductor-semiconductor nanowire
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 smoki…
Article313 citationsarXiv:1211.0539doi:10.1103/physrevb.86.220506 - A zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
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 …
Article308 citationsarXiv:1206.6687doi:10.1088/1367-2630/14/12/125011 - Detecting a Majorana-fermion zero mode using a quantum dot
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 cond…
Article294 citationsarXiv:1107.4338doi:10.1103/physrevb.84.201308 - Topological Invariants for Spin-Orbit Coupled Superconductor Nanowires
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 wi…
Article288 citationsarXiv:1111.6592doi:10.1103/physrevlett.109.150408
Newest work
- Majorana Zero Modes in Fractional VorticesPreprintarXiv:2610.39942
- Magnetotransport experiments on side-contacted topological insulator three-terminal Josephson junctionsPreprintarXiv:2610.40083
- Chiral superconductivity on a closed Klein bottle: a chirality wall and its Majorana seam spectrumPreprintarXiv:2610.40251
- Topological Quantum Spin Liquids in a Ladder with Majorana fermions and p-wave SuperconductivityPreprintarXiv:2610.40297
- Gravitational anomaly spectroscopy of a Kitaev spin liquidPreprintarXiv:2610.38704
- Magnetic Imaging with High Spatial Resolution Using a Single Niobium-Nitride-Based Three-Dimensional Nanobridge JunctionPreprintarXiv:2610.36856doi:10.1021/acsnano.5c06397
- Field theory of competing phases in the interacting Kitaev chainPreprintarXiv:2610.37761
- Parity-Resolved Many-Body Kinetics of a Topological Qubit under Nonequilibrium Phonon PulsesPreprintarXiv:2610.37793
- Proximity-Induced Giant Majorana Spin Response in a UTe$_2$-Metal Film HeterostructurePreprintarXiv:2610.36053
- Effect of oxygen plasma treatment on the structural and superconducting properties of atomic-layer-deposited NbN thin filmsPreprintarXiv:2610.32529