71,905 research outputs found
A study of the electronic properties of liquid alkali metals. A self--consistent approach
We study the electronic properties (density of states, conductivity and
thermopower) of some nearly--free--electron systems: the liquid alkali metals
and two liquid alloys, Li-Na and Na-K. The study has been performed within the
self-consistent second order Renormalized Propagator Perturbation Expansion
(RPE) for the self-energy. The input ionic pseudopotentials and static
correlation functions are derived from the neutral pseudoatom method and the
modified hypernetted chain theory of liquids, respectively. Reasonable
agreement with experiment is found for Na, K, Rb and Na-K, whereas for Li and
Cs and Li-Na the agreement is less satisfactoryComment: 14 pages, Latex, 1 figure, 1 tabl
Interplay between the ionic and electronic density profiles in liquid metal surfaces
First principles molecular dynamics simulations have been performed for the
liquid-vapor interfaces of liquid Li, Mg, Al and Si. We analize the oscillatory
ionic and valence electronic density profiles obtained, their wavelengths and
the mechanisms behind their relative phase-shift.Comment: Accepted for publication in Journal of Chemical Physic
Brauer Groups and Tate-Shafarevich Groups
Let XK be a proper, smooth and geometrically connected curve over a global field K. In this paper we generalize a formula of Milne relating the order of the Tate-Shafarevich group of the Jacobian of XK to the order of the Brauer group of a proper regular model of XK. We thereby partially answer a question of Grothendieck
Algebraic cycles on Severi-Brauer schemes of prime degree over a curve
Let be a perfect field and let be a prime number different from the
characteristic of . Let be a smooth, projective and geometrically
integral -curve and let be a Severi-Brauer -scheme of relative
dimension . In this paper we show that contains
a subgroup isomorphic to for every in the range . We deduce that, if is a number field, then is finitely
generated for every in the indicated range.Comment: 6 page
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