On the local quasiparticle density of states within the asymmetric Anderson model

1981 ◽  
Vol 39 (10) ◽  
pp. 1105-1108 ◽  
Author(s):  
M. Salomaa
2000 ◽  
Vol 52 (2) ◽  
pp. 203-209 ◽  
Author(s):  
T Cren ◽  
D Roditchev ◽  
W Sacks ◽  
J Klein

1981 ◽  
Vol 24 (10) ◽  
pp. 6156-6157 ◽  
Author(s):  
Wei-Min Hu ◽  
Shang-Yuan Ren ◽  
John D. Dow

2000 ◽  
Vol 69 (7) ◽  
pp. 1970-1973 ◽  
Author(s):  
Hideaki Sakata ◽  
Nobuhiko Nishida ◽  
Masato Hedo ◽  
Kenji Sakurai ◽  
Yoshihiko Inada ◽  
...  

2018 ◽  
Vol 2020 (17) ◽  
pp. 5279-5341 ◽  
Author(s):  
Peter D Hislop ◽  
Christoph A Marx

Abstract We prove that the density of states measure (DOSm) for random Schrödinger operators on $\mathbb{Z}^d$ is weak-$^{\ast }$ Hölder-continuous in the probability measure. The framework we develop is general enough to extend to a wide range of discrete, random operators, including the Anderson model on the Bethe lattice, as well as random Schrödinger operators on the strip. An immediate application of our main result provides quantitive continuity estimates for the disorder dependence of the DOSm and the integrated density of states (IDS) in the weak disorder regime. These results hold for a general compactly supported single-site probability measure, without any further assumptions. The few previously available results for the disorder dependence of the IDS valid for dimensions $d \geqslant 2$ assumed absolute continuity of the single-site measure and thus excluded the Bernoulli–Anderson model. As a further application of our main result, we establish quantitative continuity results for the Lyapunov exponent of random Schrödinger operators for $d=1$ in the probability measure with respect to the weak-$^{\ast }$ topology.


1978 ◽  
Vol 33 (1) ◽  
pp. 66-73
Author(s):  
Kin-ichi Masuda

The effect of chemisorption of a monolayer of atoms on the (001) surface of a model transition metal is investigated using the Green's function formalism and the phase shift technique. The electronic structure of the surface is obtained by the application of the Kalkstein and Soven method. For comparison, both a single and two peaked model of the surface density of states (DOS) are used. The change in the DOS upon chemisorption as well as the adatom DOS are calculated within the Newns-Anderson model for chemisorption. It is shown that the two peaked substrate DOS model can qualitatively account for the strong coverage dependence of the photoemission spectra observed in the H/W(100) system. In addition, it is shown that the direct interaction between the adatoms plays an important role in the monolayer chemisorption.


2012 ◽  
Vol 717-720 ◽  
pp. 645-648 ◽  
Author(s):  
Sergey Yu. Davydov ◽  
Alexander A. Lebedev

The analytical expression for the density-of-states (DOS) of single-layer graphene interacting with the SiC surface (epitaxial graphene) is obtained. The silicon carbide DOS is described within the scope of the Haldane-Anderson model. It is shown that due to the interaction with the substrate the gap of about 0.01-0.06 eV arises in the epitaxial graphene DOS. The estimation indicates that the electron charge of about (−10-3) e/atom transfers from the substrate to graphene.


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