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51.
Pierre Devillard 《Journal of statistical physics》1991,62(1-2):373-387
In the quantum transport problem of a tight-binding Anderson model, the statistics of eigenvalues for the transfer matrices of thin disordered slabs is studied. Numerical simulations indicate that the probability distribution of nearest neighbor eigenvalue spacing and the
3 statistics have already become close to that of the Gaussian orthogonal ensemble for sample lengths of the order of the mean free path, provided that transverse localization effects are not important. An intuitive argument is given why this should occur independently of the size of the matrix. Therefore, good mixing of the channels is not essential for obtaining Gaussian orthogonal ensemble type statistics and universal conductance fluctuations. 相似文献
52.
Vinzenz Bachler 《Theoretical chemistry accounts》1997,96(4):223-242
A straightforward procedure is proposed for expanding a molecular orbital determinantal wave function into a set of determinantal
wave functions composed of atomic orbitals localized at the atoms of a molecule. By employing this method, atomic orbital
determinants and their weights can be derived for a molecule from the computed molecular-orbital wave function. The procedure
permits the interpretation of a molecular orbital determinantal wave function in terms of bonding schemes related to the classic
resonance structures used by organic chemists. By using the unrestricted molecular orbital determinant, bonding schemes and
their weights are obtained for butadiene, the butadiene radical cation and the acrylonitrile radical anion. Their dominant
bonding schemes are in accord with the relevant resonance structures for these molecules. For the butadiene radical cation
and the acrylonitrile anion they are shown to be compatible with the accepted mechanisms of the electrochemical coupling reactions
of butadiene and acrylonitrile.
Received: 7 August 1996 / Accepted: 18 March 1997 相似文献
53.
Elena Cordero Karlheinz Grö chenig 《Proceedings of the American Mathematical Society》2005,133(12):3573-3579
We study time-frequency localization operators of the form , where is the symbol of the operator and are the analysis and synthesis windows, respectively. It is shown in an earlier paper by the authors that a sufficient condition for , the Schatten class of order , is that belongs to the modulation space and the window functions to the modulation space . Here we prove a partial converse: if for every pair of window functions with a uniform norm estimate, then the corresponding symbol must belong to the modulation space . In this sense, modulation spaces are optimal for the study of localization operators. The main ingredients in our proofs are frame theory and Gabor frames. For and , we recapture earlier results, which were obtained by different methods.
54.
We show that, if E is a commutative MU-algebra spectrum such that is Landweber exact over , then the category of -comodules is equivalent to a localization of the category of -comodules. This localization depends only on the heights of E at the integer primes p. It follows, for example, that the category of -comodules is equivalent to the category of -comodules. These equivalences give simple proofs and generalizations of the Miller-Ravenel and Morava change of rings theorems. We also deduce structural results about the category of -comodules. We prove that every -comodule has a primitive, we give a classification of invariant prime ideals in , and we give a version of the Landweber filtration theorem. 相似文献
55.
Miraculous J. Bhaseen Ian I. Kogan Oleg A. Soloviev Nobuhiko Taniguchi Alexei M. Tsvelik 《Nuclear Physics B》2000,580(3):1355-720
We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the integer quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described in terms of the SL(
)/SU(2) WZNW model (at the usual Ka
–Moody point and with the level 6≤k≤8 ). In this model we have identified the operators corresponding to the local DOS, and derived the partial differential equation determining their correlation functions. The OPEs for powers of the local DOS obtained from this equation are in agreement with available results. 相似文献
56.
Loic Lalouat Lionel Aigouy Francesco Pineider Jessica Labéguerie-Egéa 《Optics Communications》2011,284(12):3118-3123
By near-field optics, we characterized the local optical properties of clusters of gold nanoparticles randomly distributed under a 50 nm-thick SiO2 thin film. A local field enhancement is visible above isolated clusters. A few hundred nanometers away from them, we observed a polarization-dependent pattern with elliptical lobes oriented in the incident polarization direction. A simple simulation shows that the observed near-field images can be represented by the sum of the field of an oscillating dipole and the incident field. When the cluster density is larger, the measured near-field images show numerous bright and dark spots. The position of the bright spots does not necessarily coincide with the gold clusters showing the presence of coupling effects between them. 相似文献
57.
Biplab Pal Arunava Chakrabarti Nitai Bhattacharya 《Solid State Communications》2011,151(24):1894-1898
We take a critical view at the basic definition of extended single particle states in a non-translationally invariant system. For this, we present the case of a hierarchical lattice and incorporate long range interactions that are also distributed in a hierarchical fashion. We show that it is possible to explicitly construct eigenstates with constant amplitudes (normalized to unity) at every lattice point for special values of the electron-energy. However, the end-to-end transmission, corresponding to the above energy of the electron in such a hierarchical system depends strongly on a special correlation between the numerical values of the parameters of the Hamiltonian. Keeping the energy and the distribution of the amplitudes invariant, one can transform the lattice from conducting to insulating simply by tuning the numerical values of the long range interaction. The values of these interactions themselves display a fractal character. 相似文献
58.
Hatem Najar 《Journal of Mathematical Analysis and Applications》2006,322(1):1-17
In this work we study internal band edges localization of acoustic waves in 2-dimensional space obtained by random perturbation of some periodic media. Our results rely on the study of Lifshitz tails for the integrated density of states for random acoustic operators of the form . Localization is then deduced by the standard multiscale argument. 相似文献
59.
A model Hamiltonian is proposed for the localization–delocalization transition in quantum dots. By considering most relevant degrees of freedom, we obtain a finite dimensional Hilbert space. Through exact diagonalization, we find the ground state energies of the system as the number of electrons is varied. This explains the peculiar pattern of the electron addition energies, which are measured as a function of the top and side gate voltages. 相似文献
60.
Y.H. Yang Y.G. Wang M. Liu 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,22(4):455-459
Magnetic-impurity-scattering effects in a quasi-2D disordered electron system have been investigated theoretically with the
diagrammatic techniques in perturbation theory. The analytical expressions for magnetoconductivities due to weak-localization
effects have been obtained as functions of elastic, inelastic and magnetic scattering times. The relevant dimensional crossover
behavior from 3D to 2D with decreasing the interlayer coupling has been discussed, and the condition for the crossover has
been obtained.
Received 20 March 2001 and Received in final form 28 June 2001 相似文献