Split spin factor algebras

On split exact sequences Hopf algebras

About some split central simple algebras

In this paper we study certain quaternion algebras and symbol algebras which split.

Clocked single-spin source based on a spin-split superconductor

Wepropose an accurate clocked single-spin source for ac-spintronic applications. Our device consists of a superconducting island covered by a ferromagnetic insulator (FI) layer throughwhich it is coupled to superconducting leads. Single-particle transfer relies on the energy gaps and the islandʼs charging energy, and is enabled by a bias and a time-periodic gate voltage. Accurate spin transfer ...

Clifford Algebras and Spin Groups

We’ll now turn from the general theory to examine a specific class class of groups: the orthogonal groups. Recall that O(n,R) is the group of n by n orthogonal matrices (the group preserving the standard inner product on R). This group has two components, with the component of the identity SO(n,R), the orthogonal matrices of determinant 1. We’ll mostly restrict attention to SO(n,R). An importan...

Stimulated quasiparticles in spin-split superconductors

P. Virtanen,1,2 T. T. Heikkilä,2 and F. S. Bergeret3,4 1Low Temperature Laboratory, Department of Applied Physics, P.O. Box 15100, FI-00076 Aalto University, Finland 2University of Jyvaskyla, Department of Physics and Nanoscience Center, P.O. Box 35, FI-40014 University of Jyväskylä, Finland 3Centro de Fı́sica de Materiales (CFM-MPC), Centro Mixto CSIC-UPV/EHU, Manuel de Lardizabal 5, E-20018 Sa...