Electronic materials with nanoscale curved geometries

P Gentile, M Cuoco, OM Volkov, ZJ Ying… - Nature …, 2022 - nature.com
As the dimensions of a material shrink from an extended bulk solid to a nanoscale structure,
size and quantum confinement effects become dominant, altering the properties of the …

Fundamentals of curvilinear ferromagnetism: statics and dynamics of geometrically curved wires and narrow ribbons

DD Sheka, OV Pylypovskyi, OM Volkov, KV Yershov… - Small, 2022 - Wiley Online Library
Low‐dimensional magnetic architectures including wires and thin films are key enablers of
prospective ultrafast and energy efficient memory, logic, and sensor devices relying on spin …

Quantum mechanics of a spin-orbit coupled electron constrained to a space curve

C Ortix - Physical Review B, 2015 - APS
We derive the effective one-dimensional Schrödinger-Pauli equation for electrons
constrained to move on a space curve. The electrons are confined using a double thin-wall …

Edge states and topological insulating phases generated by curving a nanowire with Rashba spin-orbit coupling

P Gentile, M Cuoco, C Ortix - Physical Review Letters, 2015 - APS
We prove that curvature effects in low-dimensional nanomaterials can promote the
generation of topological states of matter by considering the paradigmatic example of …

Interface probe for antiferromagnets using geometric curvature

T Salamone, M Skjærpe, HG Hugdal, M Amundsen… - Physical Review B, 2024 - APS
We propose that geometric curvature and torsion may be used to probe the quality of an
uncompensated antiferromagnetic interface, using the proximity effect. We study a helix of …

Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential

LCB da Silva, CC Bastos, FG Ribeiro - Annals of Physics, 2017 - Elsevier
The experimental techniques have evolved to a stage where various examples of
nanostructures with non-trivial shapes have been synthesized, turning the dynamics of a …

Curvature-induced geometric potential in strain-driven nanostructures

C Ortix, S Kiravittaya, OG Schmidt… - Physical Review B …, 2011 - APS
We derive the effective dimensionally reduced Schrödinger equation for electrons in strain-
driven curved nanostructures by adiabatic separation of fast and slow quantum degrees of …

Non-constant geometric curvature for tailored spin–orbit coupling and chirality in superconductor-magnet heterostructures

AJ Skarpeid, HG Hugdal, T Salamone… - Journal of Physics …, 2024 - iopscience.iop.org
We show that tailoring the geometric curvature profile of magnets can be used for bespoke
design of an effective non-relativistic spin–orbit coupling, which may be used to control …

Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires

T Salamone, HG Hugdal, M Amundsen, SH Jacobsen - Physical Review B, 2022 - APS
Coupling a conventional s-wave superconductor to a ferromagnet allows us, via the
proximity effect, to generate superconducting triplet correlations. This feature can be …

Geometric momentum: The proper momentum for a free particle on a two-dimensional sphere

QH Liu, LH Tang, DM Xun - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
In Dirac's canonical quantization theory on systems with second-class constraints, the
commutators between the position, momentum, and Hamiltonian form a set of algebraic …