Density of States for the Three-Dimensional Simple-Cubic Anderson Model

1982 ◽  
Vol 51 (7) ◽  
pp. 2082-2084
Author(s):  
Wei Min Hu ◽  
John D. Dow
Keyword(s):  
Density Of States ◽  
Anderson Model ◽  
Three Dimensional ◽  
Simple Cubic

Density of states for the two-dimensional, simple-square Anderson model

1981 ◽  
Vol 24 (10) ◽  
pp. 6156-6157 ◽  
Author(s):  
Wei-Min Hu ◽  
Shang-Yuan Ren ◽  
John D. Dow
Keyword(s):  
Density Of States ◽  
Anderson Model ◽  
Two Dimensional

Local Density of States of a Three-Dimensional Conductor in the Extreme Quantum Limit

2001 ◽  
Vol 86 (8) ◽  
pp. 1582-1585 ◽  
Author(s):  
D. Haude ◽  
M. Morgenstern ◽  
I. Meinel ◽  
R. Wiesendanger
Keyword(s):  
Density Of States ◽  
Local Density ◽  
Three Dimensional ◽  
Quantum Limit ◽  
Local Density Of States

Fractional density of states and the overall spontaneous emission control ability of a three-dimensional photonic crystal

2019 ◽  
Vol 17 (4) ◽  
pp. 041601
Author(s):  
Menglin Chen Menglin Chen ◽  
Zhijun Luo Zhijun Luo ◽  
Yanan Liu Yanan Liu ◽  
Zongsong Gan Zongsong Gan
Keyword(s):  
Photonic Crystal ◽  
Spontaneous Emission ◽  
Density Of States ◽  
Three Dimensional ◽  
Emission Control ◽  
Dimensional Photonic Crystal ◽  
Fractional Density

scholarly journals Phase transition induced by an external field in a three-dimensional isotropic Heisenberg antiferromagnet

2018 ◽  
Vol 32 (32) ◽  
pp. 1850390
Author(s):  
Minos A. Neto ◽  
J. Roberto Viana ◽  
Octavio D. R. Salmon ◽  
E. Bublitz Filho ◽  
José Ricardo de Sousa
Keyword(s):  
Magnetic Field ◽  
Mean Field ◽  
Three Dimensional ◽  
Effective Field ◽  
The Body ◽  
Bravais Lattice ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Cubic Lattices ◽  
Simple Cubic

The critical frontier of the isotropic antiferromagnetic Heisenberg model in a magnetic field along the z-axis has been studied by mean-field and effective-field renormalization group calculations. These methods, abbreviated as MFRG and EFRG, are based on the comparison of two clusters of different sizes, each of them trying to mimic a specific Bravais lattice. The frontier line in the plane of temperature versus magnetic field was obtained for the simple cubic and the body-centered cubic lattices. Spin clusters with sizes N = 1, 2, 4 were used so as to implement MFRG-12, EFRG-12 and EFRG-24 numerical equations. For the simple cubic lattice, the MFRG frontier exhibits a notorious re-entrant behavior. This problem is improved by the EFRG technique. However, both methods agree at lower fields. For the body-centered cubic lattice, the MFRG method did not work. As in the cubic lattice, all the EFRG results agree at lower fields. Nevertheless, the EFRG-12 approach gave no solution for very low temperatures. Comparisons with other methods have been discussed.

Orientation-dependent local density of states in three-dimensional photonic crystals

2012 ◽  
Vol 85 (1) ◽  
Author(s):  
Jing-Feng Liu ◽  
Hao-Xiang Jiang ◽  
Chong-Jun Jin ◽  
Xue-Hua Wang ◽  
Zong-Song Gan ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Density Of States ◽  
Local Density ◽  
Three Dimensional ◽  
Local Density Of States

scholarly journals Dependence of the Density of States on the Probability Distribution for Discrete Random Schrödinger Operators

2018 ◽  
Vol 2020 (17) ◽  
pp. 5279-5341 ◽  
Author(s):  
Peter D Hislop ◽  
Christoph A Marx
Keyword(s):  
Probability Measure ◽  
Density Of States ◽  
Anderson Model ◽  
Schrödinger Operators ◽  
Bethe Lattice ◽  
Single Site ◽  
Random Schrödinger Operators ◽  
Integrated Density Of States ◽  
Schrodinger Operators ◽  
Wide Range

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.

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