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Quantum Hall effect in graphene: A functional determinant approach
C. G. Beneventano, E. M. Santangelo
We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-…
The quantum Hall effect in graphene samples and the relativistic Dirac effective action
C. G. Beneventano, Paola Giacconi, E. M. Santangelo +1
We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two--dimensional spatial region, in the presence of a uniform magnetic field per…
Spectral functions of the Dirac operator under local boundary conditions
C. G. Beneventano, E. M. Santangelo
After a brief discussion of elliptic boundary problems and their properties, we concentrate on a particular example: the Euclidean Dirac operator in two dimensions, with its domain…
Dirac fields in a Bohm-Aharonov background and spectral boundary conditions
C. G. Beneventano, M. De Francia, E. M. Santangelo
We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shri…