Topological phenomena at defects in acoustic, photonic and solid-state lattices

ZK Lin, Q Wang, Y Liu, H Xue, B Zhang… - Nature Reviews …, 2023 - nature.com
There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

A short introduction to topological quantum computation

V Lahtinen, J Pachos - SciPost Physics, 2017 - scipost.org
This review presents an entry-level introduction to topological quantum computation--
quantum computing with anyons. We introduce anyons at the system-independent level of …

Topological classification of dynamical phase transitions

S Vajna, B Dóra - Physical Review B, 2015 - APS
We study the nonequilibrium time evolution of a variety of one-dimensional (1D) and two-
dimensional (2D) systems (including SSH model, Kitaev-chain, Haldane model, p+ ip …

Non-Hermitian higher-order topological superconductors in two dimensions: Statics and dynamics

AK Ghosh, T Nag - Physical Review B, 2022 - APS
Being motivated by intriguing phenomena, such as the breakdown of conventional bulk
boundary correspondence and the emergence of skin modes in the context of non-Hermitian …

Dynamical quantum phase transitions

AA Zvyagin - Low Temperature Physics, 2016 - pubs.aip.org
During recent years the interest to dynamics of quantum systems has grown considerably.
Quantum many body systems out of equilibrium often manifest behavior, different from the …

In-Plane Zeeman-Field-Induced Majorana Corner and Hinge Modes in an -Wave Superconductor Heterostructure

YJ Wu, J Hou, YM Li, XW Luo, X Shi, C Zhang - Physical Review Letters, 2020 - APS
Second-order topological superconductors host Majorana corner and hinge modes in
contrast to conventional edge and surface modes in two and three dimensions. However …

Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes

L Zhou - Physical Review B, 2020 - APS
Majorana edge modes are candidate elements of topological quantum computing. In this
paper, we propose a Floquet engineering approach to generate multiple non-Hermitian …

Topological massive Dirac edge modes and long-range superconducting Hamiltonians

O Viyuela, D Vodola, G Pupillo, MA Martin-Delgado - Physical Review B, 2016 - APS
We discover novel topological effects in the one-dimensional Kitaev chain modified by long-
range Hamiltonian deformations in the hopping and pairing terms. This class of models …

Topological superconductivity enhanced by exceptional points

R Arouca, J Cayao, AM Black-Schaffer - Physical Review B, 2023 - APS
Majorana zero modes (MZMs) emerge as edge states in topological superconductors and
are promising for topological quantum computation, but their detection has so far been …

Aperiodic weak topological superconductors

IC Fulga, DI Pikulin, TA Loring - Physical review letters, 2016 - APS
Weak topological phases are usually described in terms of protection by the lattice
translation symmetry. Their characterization explicitly relies on periodicity since weak …