12,018 research outputs found
Critical generalized inverse participation ratio distributions
The system size dependence of the fluctuations in generalized inverse
participation ratios (IPR's) at criticality is investigated
numerically. The variances of the IPR logarithms are found to be
scale-invariant at the macroscopic limit. The finite size corrections to the
variances decay algebraically with nontrivial exponents, which depend on the
Hamiltonian symmetry and the dimensionality. The large- dependence of the
asymptotic values of the variances behaves as according to theoretical
estimates. These results ensure the self-averaging of the corresponding
generalized dimensions.Comment: RevTex4, 5 pages, 4 .eps figures, to be published in Phys. Rev.
Transactions Costs and the Viability of Rural Financial Intermediaries
In its attempt to examine the transaction cost of banks, this study develops a method of estimating transaction cost for each bank activity. It also explains the differences and the composition cost among commercial private development and rural banks. Results in this paper is hoped to improve the efficient functioning of the formal financial system.financial sector, rural sector, transaction cost, financial intermediaries
Dielectric response of Anderson and pseudogapped insulators
Using a combination of analytic and numerical methods, we study the
polarizability of a (non-interacting) Anderson insulator in one, two, and three
dimensions and demonstrate that, in a wide range of parameters, it scales
proportionally to the square of the localization length, contrary to earlier
claims based on the effective-medium approximation. We further analyze the
effect of electron-electron interactions on the dielectric constant in
quasi-1D, quasi-2D and 3D materials with large localization length, including
both Coulomb repulsion and phonon-mediated attraction. The phonon-mediated
attraction (in the pseudogapped state on the insulating side of the
Superconductor-Insulator Transition) produces a correction to the dielectric
constant, which may be detected from a linear response of a dielectric constant
to an external magnetic field.Comment: 9 page
Transaction Cost and the Viability of Rural Financial Intermediaries
Recognition of a continuous improvement in the formal financial system is necessary for economic growth. Over the years, the government has been infusing cheap funds into the rural sector. Unfortunately, it overlooks a number of serious issues regarding bank’s transaction costs. This article develops a method of estimating transaction costs for each bank activity. It also explains the differences and the composition of transaction costs among commercial banks, rural banks and private development banks.financial system, banking system, commercial banks, transaction cost, deposit liabilities
Non-ergodic phases in strongly disordered random regular graphs
We combine numerical diagonalization with a semi-analytical calculations to
prove the existence of the intermediate non-ergodic but delocalized phase in
the Anderson model on disordered hierarchical lattices. We suggest a new
generalized population dynamics that is able to detect the violation of
ergodicity of the delocalized states within the Abou-Chakra, Anderson and
Thouless recursive scheme. This result is supplemented by statistics of random
wave functions extracted from exact diagonalization of the Anderson model on
ensemble of disordered Random Regular Graphs (RRG) of N sites with the
connectivity K=2. By extrapolation of the results of both approaches to
N->infinity we obtain the fractal dimensions D_{1}(W) and D_{2}(W) as well as
the population dynamic exponent D(W) with the accuracy sufficient to claim that
they are non-trivial in the broad interval of disorder strength W_{E}<W<W_{c}.
The thorough analysis of the exact diagonalization results for RRG with
N>10^{5} reveals a singularity in D_{1,2}(W)-dependencies which provides a
clear evidence for the first order transition between the two delocalized
phases on RRG at W_{E}\approx 10.0. We discuss the implications of these
results for quantum and classical non-integrable and many-body systems.Comment: 4 pages paper with 5 figures + Supplementary Material with 5 figure
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