Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

New directions in the pursuit of Majorana fermions in solid state systems

J Alicea - Reports on progress in physics, 2012 - iopscience.iop.org
The 1937 theoretical discovery of Majorana fermions—whose defining property is that they
are their own anti-particles—has since impacted diverse problems ranging from neutrino …

InAs-Al hybrid devices passing the topological gap protocol

M Aghaee, A Akkala, Z Alam, R Ali, A Alcaraz Ramirez… - Physical Review B, 2023 - APS
We present measurements and simulations of semiconductor-superconductor
heterostructure devices that are consistent with the observation of topological …

Reflection-symmetric second-order topological insulators and superconductors

J Langbehn, Y Peng, L Trifunovic, F von Oppen… - Physical review …, 2017 - APS
Second-order topological insulators are crystalline insulators with a gapped bulk and
gapped crystalline boundaries, but with topologically protected gapless states at the …

Introduction to topological superconductivity and Majorana fermions

M Leijnse, K Flensberg - Semiconductor Science and Technology, 2012 - iopscience.iop.org
This short review paper provides a pedagogical introduction to the rapidly growing research
field of Majorana fermions in topological superconductors. We first discuss in some detail the …

[HTML][HTML] Majorana nanowires for topological quantum computation

P Marra - Journal of Applied Physics, 2022 - pubs.aip.org
Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

Random-matrix theory of Majorana fermions and topological superconductors

CWJ Beenakker - Reviews of Modern Physics, 2015 - APS
The theory of random matrices originated half a century ago as a universal description of the
spectral statistics of atoms and nuclei, dependent only on the presence or absence of …

Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling

TP Choy, JM Edge, AR Akhmerov… - Physical Review B …, 2011 - APS
There exists a variety of proposals to transform a conventional s-wave superconductor into a
topological superconductor, supporting Majorana fermion midgap states. A necessary …

Topological criticality in the chiral-symmetric AIII class at strong disorder

I Mondragon-Shem, TL Hughes, J Song, E Prodan - Physical review letters, 2014 - APS
The chiral AIII symmetry class in the classification table of topological insulators contains
topological phases classified by a winding number ν for each odd space dimension. An …

Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential

H Pan, JD Sau, S Das Sarma - Physical Review B, 2021 - APS
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 …