A numerical finite size scaling approach to many-body localization

We develop a numerical technique to study Anderson localization in interacting electronic systems. The ground state of the disordered system is calculated with quantum Monte-Carlo simulations while the localization properties are extracted from the ``Thouless conductance'' $g$, i.e. the curvature of the energy with respect to an Aharonov-Bohm flux. We apply our method to polarized electrons in a two dimensional system of size $L$. We recover the well known universal $\beta(g)=\rm{d}\log g/\rm{d}\log L$ one parameter scaling function without interaction. Upon switching on the interaction, we find that $\beta(g)$ is unchanged while the system flows toward the insulating limit. We conclude that polarized electrons in two dimensions stay in an insulating state in the presence of weak to moderate electron-electron correlations.Comment: 5 pages, 4 figure

Alien Registration- Fleury, Marie C J. (Winthrop, Kennebec County)

https://digitalmaine.com/alien_docs/17008/thumbnail.jp

Fractional Supersymmetry and Fth-Roots of Representations

A generalization of super-Lie algebras is presented. It is then shown that all known examples of fractional supersymmetry can be understood in this formulation. However, the incorporation of three dimensional fractional supersymmetry in this framework needs some care. The proposed solutions lead naturally to a formulation of a fractional supersymmetry starting from any representation D of any Lie algebra g. This involves taking the Fth-roots of D in an appropriate sense. A fractional supersymmetry in any space-time dimension is then possible. This formalism finally leads to an infinite dimensional extension of g, reducing to the centerless Virasoro algebra when g=sl(2,R).Comment: 23 pages, 1 figure, LaTex file with epsf.st

Dedicated front-end electronics for the next generation of linear collider electromagnetic calorimeter

This paper describes an R&D electronic program for the next generation of linear collider electromagnetic calorimeter. After a brief presentation of the requirements, a global scheme of the electronics is given. Then, we describe the three different building blocks developed in 0.35\mum CMOS technology: an amplifier, a comparator and finally the pipelined AD

Raman scattering through surfaces having biaxial symmetry

Magnetic Raman scattering in two-leg spin ladder materials and the relationship between the anisotropic exchange integrals are analyzed by P. J. Freitas and R. R. P. Singh in Phys. Rev. B, {\bf 62}, 14113 (2000). The angular dependence of the two-magnon scattering is shown to provide information for the magnetic anisotropy in the Sr_14Cu_24O_41 and La_6Ca_8Cu_24O_41 compounds. We point out that the experimental results of polarized Raman measurements at arbitrary angles with respect to the crystal axes have to be corrected for the light ellipticity induced inside the optically anisotropic crystals. We refer quantitatively to the case of Sr_14Cu_24O_41 and discuss potential implications for spectroscopic studies in other materials with strong anisotropy.Comment: To be published as a Comment in Phys. Rev.

Aspects of large-scale chromatin structures in mouse liver nuclei can be predicted from the DNA sequence

The large amount of non-coding DNA present in mammalian genomes suggests that some of it may play a structural or functional role. We provide evidence that it is possible to predict computationally, from the DNA sequence, loci in mouse liver nuclei that possess distinctive nucleosome arrays. We tested the hypothesis that a 100 kb region of DNA possessing a strong, in-phase, dinucleosome period oscillation in the motif period-10 non-T, A/T, G, should generate a nucleosome array with a nucleosome repeat that is one-half of the dinucleosome oscillation period value, as computed by Fourier analysis of the sequence. Ten loci with short repeats, that would be readily distinguishable from the pervasive bulk repeat, were predicted computationally and then tested experimentally. We estimated experimentally that less than 20% of the chromatin in mouse liver nuclei has a nucleosome repeat length that is 15 bp, or more, shorter than the bulk repeat value of 195 ± bp. All 10 computational predictions were confirmed experimentally with high statistical significance. Nucleosome repeats as short as 172 ± 5 bp were observed for the first time in mouse liver chromatin. These findings may be useful for identifying distinctive chromatin structures computationally from the DNA sequence