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Abelian Splittings and JSJ-Decompositions of Bestvina--Brady Groups
We give a characterization of Bestvina--Brady groups split over abelian
subgroups and describe a JSJ-decomposition of Bestvina--Brady groups.Comment: Fix the proof of Theorem 3.
Effects of Isotope Substitution on Local Heating and Inelastic current in Hydrogen Molecular Junctions
Using first principle approaches, we investigate the effects of isotope
substitution on the inelastic features in the hydrogen molecular junction. We
observe thatlocal heating and inelastic current have significant
isotope-substitution effects. Due to the contact characters, the energies of
excited molecular vibrationsare inverse proportional to the square root of the
mass. The heavier the molecule, the smaller the onset bias. In the and
junctions, the heavier molecule has a smaller magnitude of
electron-vibration interaction. Consequently, there is a crossing in the local
temperature around . In the HD junction, the electron-vibration
interaction is enhanced by asymmetric distribution in mass. It leads to the
largest discontinuity in the differential conductance and the most prominent
heating in the HD junction. We predict that the junction instability is
relevant to isotope substitution. The HD junction has the smallest breakdown
voltage compared with the and junction
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