Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

We discuss the properties of topologically nontrivial superconducting phases and the
conditions for their realization in condensed matter, the criteria for the appearance of …

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 …

We study the decay and oscillations of Majorana fermion wave functions and ground-state
(GS) fermion parity in one-dimensional topological superconducting lattice systems. Using a …

The long-range Su-Schrieffer-Heeger (SSH) model, in which the second nearest-neighbor
hop** is taken into account, exhibits a topological phase diagram that contains winding …

Entanglement provides characterizing features of true topological order in two-dimensional
systems. We show how entanglement of disconnected partitions defines topological …

We numerically explore Z 2-symmetric random interacting Ising-Majorana chains at high
energy. A very rich phase diagram emerges with two topologically distinct many-body …

The Kitaev chain model with a nearest neighbor interaction U is solved exactly at the
symmetry point Δ= t and chemical potential μ= 0 in an open boundary condition. By applying …

Quantum control, which refers to the active manipulation of physical systems described by
the laws of quantum mechanics, constitutes an essential ingredient for the development of …

In this study, the problem of strong Coulomb interactions in topological superconducting wire
is analyzed by means of the density-matrix-renormalization-group (DMRG) approach. To …