The Wegner estimate and the integrated density of states for some random operators

2002 ◽  
Vol 112 (1) ◽  
pp. 31-53 ◽  
Author(s):  
J. M. Combes ◽  
P. D. Hislop ◽  
Frédéric Klopp ◽  
Shu Nakamura
Keyword(s):  
Density Of States ◽  
Integrated Density Of States ◽  
Random Operators ◽  
Wegner Estimate

scholarly journals Discontinuities of the Integrated Density of States for Random Operators on Delone Sets

2003 ◽  
Vol 241 (2-3) ◽  
pp. 235-243 ◽  
Author(s):  
Steffen Klassert ◽  
Daniel Lenz ◽  
Peter Stollmann
Keyword(s):  
Density Of States ◽  
Integrated Density Of States ◽  
Random Operators ◽  
Delone Sets

scholarly journals The Integrated Density of States for Some Random Operators with Nonsign Definite Potentials

2002 ◽  
Vol 195 (1) ◽  
pp. 12-47 ◽  
Author(s):  
Peter D. Hislop ◽  
Frédéric Klopp
Keyword(s):  
Density Of States ◽  
Integrated Density Of States ◽  
Random Operators

scholarly journals The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model

2009 ◽  
Vol 2009 ◽  
pp. 1-15 ◽  
Author(s):  
Frédéric Klopp ◽  
Heribert Zenk
Keyword(s):  
Density Of States ◽  
Anderson Model ◽  
Homogeneous Model ◽  
Free Particle ◽  
Integrated Density Of States ◽  
Interacting Particles ◽  
Wegner Estimate ◽  
Homogeneous Potential ◽  
Interacting Particle ◽  
Regularity Properties

For a system of interacting particles moving in the background of a “homogeneous” potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting -particle Hamiltonian. Moreover, this integrated density of states coincides with that of the free particle Hamiltonian. For the interacting -particle Anderson model, we prove regularity properties of the integrated density of states by establishing a Wegner estimate.

scholarly journals H�lder Equicontinuity of the Integrated Density of States at Weak Disorder

2004 ◽  
Vol 70 (3) ◽  
pp. 195-209 ◽  
Author(s):  
Jeffrey H. Schenker
Keyword(s):  
Density Of States ◽  
Integrated Density Of States ◽  
Weak Disorder

scholarly journals The landscape law for the integrated density of states

2021 ◽  
Vol 390 ◽  
pp. 107946
Author(s):  
G. David ◽  
M. Filoche ◽  
S. Mayboroda
Keyword(s):  
Density Of States ◽  
Integrated Density Of States

GAP-LABELING PROPERTIES OF THE ENERGY SPECTRUM FOR TWO-DIMENSIONAL FIBONACCI QUASILATTICES

1995 ◽  
Vol 09 (01) ◽  
pp. 55-66
Author(s):  
YOUYAN LIU ◽  
WICHIT SRITRAKOOL ◽  
XIUJUN FU
Keyword(s):  
Energy Spectrum ◽  
Density Of States ◽  
Energy Gap ◽  
Fractional Part ◽  
Numerical Results ◽  
Step Height ◽  
Integrated Density Of States ◽  
Two Dimensional

We have analytically obtained the occupation probabilities on subbands of the hierarchical energy spectrum and the step heights of the integrated density of states for two-dimensional Fibonacci quasilattices. Based on the above results, the gap-labeling properties of the energy spectrum are found, which claim that the step height is equal to {mτ}, where the braces denote the fractional part, and m is an integer that can be used to label the corresponding energy gap. Numerical results confirm these results very well.

scholarly journals Hölder continuity of the integrated density of states for quasi-periodic Jacobi operators

2017 ◽  
Vol 7 (2) ◽  
pp. 361-386 ◽  
Author(s):  
Kai Tao ◽  
Mircea Voda
Keyword(s):  
Density Of States ◽  
Hölder Continuity ◽  
Integrated Density Of States ◽  
Holder Continuity ◽  
Jacobi Operators
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