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 …
are their own anti-particles—has since impacted diverse problems ranging from neutrino …
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 …
fermion—the elusive quantum entity at the border between particles and antiparticles—has …
Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
We unveil the geometrical meaning of winding number and utilize it to characterize the
topological phases in one-dimensional chiral non-Hermitian systems. While chiral symmetry …
topological phases in one-dimensional chiral non-Hermitian systems. While chiral symmetry …
Chiral superconductors
C Kallin, J Berlinsky - Reports on Progress in Physics, 2016 - iopscience.iop.org
Chiral superconductivity is a striking quantum phenomenon in which an unconventional
superconductor spontaneously develops an angular momentum and lowers its free energy …
superconductor spontaneously develops an angular momentum and lowers its free energy …
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 …
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …
Majorana Kramers pairs in higher-order topological insulators
We propose a tune-free scheme to realize Kramers pairs of Majorana bound states in
recently discovered higher-order topological insulators (HOTIs). We show that, by bringing …
recently discovered higher-order topological insulators (HOTIs). We show that, by bringing …
One-dimensional symmetry protected topological phases and their transitions
We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …
dimension and address the open question of what characterizes their phase transitions. In …
Floquet generation of Majorana end modes and topological invariants
We show how Majorana end modes can be generated in a one-dimensional system by
varying some of the parameters in the Hamiltonian periodically in time. The specific model …
varying some of the parameters in the Hamiltonian periodically in time. The specific model …
Topological invariants for spin-orbit coupled superconductor nanowires
We show that the Hamiltonian of a multiband spin-orbit coupled semiconductor nanowire
with Zeeman splitting and s-wave superconductivity is approximately chiral symmetric. The …
with Zeeman splitting and s-wave superconductivity is approximately chiral symmetric. The …
Topological classification of dynamical phase transitions
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 …
dimensional (2D) systems (including SSH model, Kitaev-chain, Haldane model, p+ ip …