Spin injection and perpendicular spin transport in graphite nanostructures

Organic and carbon-based materials are attractive for spintronics because their small spin-orbit coupling and low hyperfine interaction is expected to give rise to large spin-relaxation times. However, the corresponding spin-relaxation length is not necessarily large when transport is via weakly interacting molecular orbitals. Here we use graphite as a model system and study spin transport in the direction perpendicular to the weakly bonded graphene sheets. We achieve injection of highly (75%) spin-polarized electrons into graphite nanostructures of 300-500 nm across and up to 17 nm thick, and observe transport without any measurable loss of spin information. Direct visualization of local spin transport in graphite-based spin-valve sandwiches also shows spatially uniform and near-unity transmission for electrons at 1.8 eV above the Fermi level

Relations between some invariants of algebraic varieties in positive characteristic

We discuss relations between certain invariants of varieties in positive characteristic, like the a-number and the height of the Artin-Mazur formal group. We calculate the a-number for Fermat surfacesComment: 13 page

Coherent single electron spin control in a slanting Zeeman field

We consider a single electron in a 1D quantum dot with a static slanting Zeeman field. By combining the spin and orbital degrees of freedom of the electron, an effective quantum two-level (qubit) system is defined. This pseudo-spin can be coherently manipulated by the voltage applied to the gate electrodes, without the need for an external time-dependent magnetic field or spin-orbit coupling. Single qubit rotations and the C-NOT operation can be realized. We estimated relaxation ($T_1$) and coherence ($T_{2}$) times, and the (tunable) quality factor. This scheme implies important experimental advantages for single electron spin control.Comment: 4 pages, 3 figure

Involutivity of integrals for sine-Gordon, modified KdV and potential KdV maps

Closed form expressions in terms of multi-sums of products have been given in \cite{Tranclosedform, KRQ} of integrals of sine-Gordon, modified Korteweg-de Vries and potential Korteweg-de Vries maps obtained as so-called $(p,-1)$-traveling wave reductions of the corresponding partial difference equations. We prove the involutivity of these integrals with respect to recently found symplectic structures for those maps. The proof is based on explicit formulae for the Poisson brackets between multi-sums of products.Comment: 24 page

Surface Acoustic Wave induced Transport in a Double Quantum Dot

We report on non-adiabatic transport through a double quantum dot under irradiation of surface acoustic waves generated on-chip. At low excitation powers, absorption and emission of single and multiple phonons is observed. At higher power, sequential phonon assisted tunneling processes excite the double dot in a highly non-equilibrium state. The present system is attractive for studying electron-phonon interaction with piezoelectric coupling.Comment: 4 pages, 3 figure

Syntactic and semantic contributions of pitch accents during sentence comprehension

Syntactic, semantic, and prosodic cues all establish expectations that guide sentence comprehension. In the prosodic domain, pitch accents can assign contrastive focus and resolve a syntactically ambiguous phrase. However, can prosodic focus marking (by pitch accenting) influence the interpretation of a sentence in the presence of syntactic and semantic cues? Our auditory experiment revolved around the sentence (in German) “Yesterday the policeman arrested the thief, not the murderer”. A pitch accent on either POLICEMAN or THIEF placed one of those arguments in contrastive focus with the ellipsis structure ("the murderer”). The two contrasted arguments could contain violations: in the syntax condition, the grammatical case of the article in the ellipsis structure mismatched the focused constituent in the main clause (nominative vs. accusative). In the semantic condition, the thematic roles of the contrasted words were incongruent (typical agent vs. patient roles of “arrest”). Visual comprehension questions probed the agent/patient role of the arguments in the sentence (subject or object), followed by a button-press response. Reaction times showed that if the pitch accent marked syntactic information that mismatched the syntactic information in the ellipsis structure, responses were delayed. The direction of the semantic effect depended on the focused noun. The response patterns showed that participants were led by the syntactic information to make their syntactic judgements, despite a conflicting expectation established by prosody. The experiment shows that pitch accents establish a syntactic expectation during sentence comprehension. However, these expectations are overwritten by incoming syntactic information to yield an interpretation of the sentence