We propose a multipole representation of the Fermi-Dirac function and the Fermi operator, and use this representation to develop algorithms for electronic structure analysis of metallic systems. The new algorithm is quite simple and efficient. Its computational cost scales logarithmically with β∆2 where β is the inverse temperature, and ∆2 is the width of the spectrum of the discretized Hamilto...

Topological insulators are potentially transformative quantum solids with metallic surface states which have Dirac band structure and are immune to disorder. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to surface charge transport. Here we demonstrate that irradiation with swift (∼2.5 MeV energy) electron beams allows to compensate these de...

Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac ...

This article is meant to be a pedagogical discussion of spinors and of Majorana and Dirac fields in the context of Weinberg’s formalism. Fermi Fields without Tears 2

The vacuum expectation values of the field squared and energy-momentum tensor for a massless scalar are investigated in Milne universe with general number spatial dimensions. state depends on choice mode functions canonical quantization procedure we assume that is prepared conformal vacuum. As first step an integral representation difference Wightman corresponding to Minkowski vacua derived. me...