SISSA DIGITAL LIBRARYInstitutional Research Information System (Statistiche: prodotti, OA)
Per informazioni contatta sdl@sissa.it

Aspects of Toeplitz Determinants

We review the asymptotic behavior of a class of Toeplitz (as well as related Hankel and Toeplitz + Hankel) determinants which arise in integrable models and other contexts. We discuss Szego, Fisher-Hartwig asymptotics, and how a transition between them is related to the Painlevé V equation. Certain Toeplitz and Hankel determinants reduce, in certain double-scaling limits, to Fredholm determinants which appear in the theory of group representations, in random matrices, random permutations and ...

1ST-PRINCIPLES CALCULATION OF THE VIBRATIONAL PROPERTIES OF GAXAL1-XAS ALLOYS

Structure and Thermodynamics of SiGe Alloys from Computational Alchemy

We present a new method for studying theoretically the structural properties of semiconductor alloys. The alloy is considered as a perturbation with respect to a periodic virtual crystal, and the relevant energies calculated by density-functional perturbation theory. We show that —up to second order in the perturbation— the energy of the alloy is equivalent to that of a lattice gas with only two-body interactions. The interaction constants of the lattice gas are particular linear response fun...

Single-electron excitations and interactions in integer quantum Hall systems at ν = 2

We study the interplay between few-electron excitations generated by voltage pulses and interactions in a quantum Hall system at integer filling factor ν = 2. Electron-electron interactions strongly affect the dynamics of the generated pulses, leading to their fractionalization. In particular, on the innermost edge channel two oppositely charged excitations emerge, which we analyze through their Wigner function. Moreover, we show that interactions provide a signature in the noise generated wh...