Download Electronic Excitations at Metal Surfaces by Ansgar Liebsch PDF

By Ansgar Liebsch

In this new paintings, the point of interest is at the dynamical reaction of steel electrons to different types of incident electromagnetic fields. the writer, an eminent theorist, discusses Time-Dependent neighborhood Density Approximation's value in either elucidating digital floor excitations and describing the floor kingdom homes of digital platforms. Chapters aspect theoretical formulations and computational techniques, protecting such components as single-particle and collective modes, spatial distribution of the triggered floor fees, and native electrical fields. Excitation spectra are proven for numerous fresh easy metals, noble metals, chemisorbed overlayers, charged surfaces, and small steel particles.

Show description

Read Online or Download Electronic Excitations at Metal Surfaces PDF

Best solid-state physics books

Introductory Solid State Physics (Second Edition)

Assuming an simple wisdom of quantum and statistical physics, this ebook presents a accomplished consultant to primary actual houses of condensed subject, in addition to the underlying conception worthy for a formal figuring out in their origins. the subject material covers the crucial gains of condensed subject physics, yet with specific accessory at the homes of steel alloys.

Theory of High Temperature Superconductivity: A Conventional Approach

Drawing from the vast spectrum of phenomena, defined in additional than 100,000 articles on high-Tc superconductivity, during this e-book, the authors study these uncomplicated homes for which figuring out may be accomplished in the framework of conventional tools of theoretical physics. this can be the case of the overdoped cuprates for which the "Bardeen application" has been learned: we all know their digital spectrum, we will be able to calculate their easy thermodynamic and electrodynamic homes, and are expecting new phenomena.

Nanotubes and Nanosheets: Functionalization and Applications of Boron Nitride and Other Nanomaterials

Nanotubes and nanosheets are low-dimensional nanomaterials with specific houses that may be exploited for various functions. This booklet deals a whole evaluate in their constitution, houses, improvement, modeling techniques, and sensible use. It focuses consciousness on boron nitride (BN) nanotubes, that have had significant curiosity given their unique high-temperature houses, in addition to graphene nanosheets, BN nanosheets, and steel oxide nanosheets.

Extra info for Electronic Excitations at Metal Surfaces

Sample text

94) The factor (k~ - k2 ) in the integrand arises from the analytical integration over parallel momenta. 5 e- oz , z ~ z ~ 0, O. 95) The one-electron potential corresponding to this density is given by V(z) = -47r 1 dz' (z' - z) [no(z') - n+(z')] + Vxc[no(z)] . 12). The new density calculated from this potential does not, in general, satisfy charge neutrality. To avoid difficulties arising from the long-range Coulomb potential due to this charge imbalance, it is helpful to scale the density of the positive background at each iteration step so that neutrality is restored (for a detailed discussion, see Lang and Kohn, 1970).

77) In the spirit of the LDA, Ixc is now replaced by the corresponding quantity of the homogeneous electron gas. If in addition it is assumed that both the equilibrium and induced densities vary slowly, Ixc is approximated as Ixc(r,r',w) =8(r-r') Ixc(q=O,w). 2. 53). 51). The high-frequency limit of fxc is determined by the third frequency moment: f xc (W -- 00 ) -- _i n2/33:.... cxc(n) + 6n1/33:.... cxc(n) = f d 5 dn n 5/3 n n 4/3 - 00 (n ) . 82) where c = 237r /15. 311 . 86) The real part of fxc(w) is obtained using the Kramers-Kronig relations.

6 Embedding Approach Because of the one-dimensional nature of semi-infinite jellium surfaces, the real-space version of the dynamical response outlined above is quite straightforward and computationally rather simple. The most time-consuming step is the evaluation of response functions which are represented as matrices of dimension N x N, where N is typically a few hundred. The response equation is solved via matrix inversion. More complex electronic properties in the direction normal to the surface do not significantly increase this numerical effort since summations over parallel momenta of electronic states can still be done analytically (over k"" ku for tlil = OJ over ku for q", > 0, qu = 0).

Download PDF sample

Rated 4.21 of 5 – based on 4 votes