[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 …

Topological superconductivity and Majorana states in low-dimensional systems

VV Val'kov, MS Shustin, SV Aksenov… - Physics …, 2022 - iopscience.iop.org
We discuss the properties of topologically nontrivial superconducting phases and the
conditions for their realization in condensed matter, the criteria for the appearance of …

Flux-controlled quantum computation with Majorana fermions

T Hyart, B Van Heck, IC Fulga, M Burrello… - Physical Review B …, 2013 - APS
Majorana fermions hold promise for quantum computation, because their non-Abelian
braiding statistics allows for topologically protected operations on quantum information …

Entanglement and dynamics of diffusion-annihilation processes with Majorana defects

A Nahum, B Skinner - Physical Review Research, 2020 - APS
Coupling a many-body system to a thermal environment typically destroys the quantum
coherence of its state, leading to an effective classical dynamics at the longest time scales …
W DeGottardi, M Thakurathi, S Vishveshwara… - Physical Review B …, 2013 - APS
We present a comprehensive study of two of the most experimentally relevant extensions of
Kitaev's spinless model of a one-dimensional p-wave superconductor: those involving (i) …

Exact ground states and topological order in interacting Kitaev/Majorana chains

H Katsura, D Schuricht, M Takahashi - Physical Review B, 2015 - APS
We study a system of interacting spinless fermions in one dimension that, in the absence of
interactions, reduces to the Kitaev chain [Kitaev, Phys. Usp. 44, 131 (2001) 1468-4780 …

Emergent supersymmetry from strongly interacting Majorana zero modes

A Rahmani, X Zhu, M Franz, I Affleck - Physical review letters, 2015 - APS
We show that a strongly interacting chain of Majorana zero modes exhibits a
supersymmetric quantum critical point corresponding to the c= 7 1 0 tricritical Ising model …

Majorana bound states in semiconducting nanostructures

K Laubscher, J Klinovaja - Journal of Applied Physics, 2021 - pubs.aip.org
In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising
in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain …

Unveiling phase transitions with machine learning

A Canabarro, FF Fanchini, AL Malvezzi, R Pereira… - Physical Review B, 2019 - APS
The classification of phase transitions is a central and challenging task in condensed matter
physics. Typically, it relies on the identification of order parameters and the analysis of …

Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions

S Tibaldi, G Magnifico, D Vodola, E Ercolessi - SciPost Physics, 2023 - scipost.org
The recent advances in machine learning algorithms have boosted the application of these
techniques to the field of condensed matter physics, in order eg to classify the phases of …