The influence of a weak magnetic field in the Renormalization-Group functions of 2 1-dimensional Dirac systemsReportar como inadecuado




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The European Physical Journal B

, 89:271

First Online: 12 December 2016Received: 13 October 2016Revised: 20 October 2016

Abstract

The experimental observation of the renormalization of the Fermi velocity vF as a function ofdoping has been a landmark for confirming the importance of electronic interactions ingraphene. Although the experiments were performed in the presence of a perpendicularmagnetic field B, the measurements are well described by arenormalization-group RG theory that did not include it. Here we clarify this issue, forboth massive and massless Dirac systems, and show that for the weak magnetic fields atwhich the experiments are performed, there is no change in the renormalization-groupfunctions. Our calculations are carried out in the framework of the Pseudo-quantumelectrodynamics PQED formalism, which accounts for dynamical interactions. We includeonly the linear dependence in B, and solve the problem using two differentparametrizations, the Feynman and the Schwinger one. We confirm the results obtainedearlier within the RG procedure and show that, within linear order in the magnetic field,the only contribution to the renormalization of the Fermi velocity for the massive casearises due to electronic interactions. In addition, for gapped systems, we observe arunning of the mass parameter.

KeywordsMesoscopic and Nanoscale Systems  Download to read the full article text



Autor: Natália Menezes - Van Sérgio Alves - Cristiane Morais Smith

Fuente: https://link.springer.com/



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