Geodesic
Review of electron--electron interaction effects in planar Dirac liquids
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 2, pp. 343-360

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We review field theory studies devoted to understanding electron–electron interaction effects in condensed matter systems such as planar Dirac liquids, for example, graphene and graphene-like systems, surface states of some topological insulators, and possibly half-filled fractional quantum Hall systems. These liquids are characterized by gapless bands, strong electron–electron interactions, and emergent Lorentz invariance deep in the infrared. We address several important issues raised by experiments on these systems covering subjects of wide current interest in low-energy (condensed matter) and also high-energy (particle) physics. In particular, we consider the subtle influence of interactions on transport properties and their supposedly crucial influence on a potential dynamical mass generation. The resolution of these problems guide us from a thorough examination of the perturbative structure of gauge field theories to the development and application of nonperturbative approaches known from quantum electro/chromo-dynamics to address strong coupling issues.
Mots-clés : graphene
Keywords: perturbation theory, electron–electron interaction. 
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     author = {S. Teber and A. V. Kotikov},
     title = {Review of electron--electron interaction effects in planar {Dirac} liquids},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {343--360},
     publisher = {mathdoc},
     volume = {200},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a12/}
}
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S. Teber; A. V. Kotikov. Review of electron--electron interaction effects in planar Dirac liquids. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 2, pp. 343-360. http://geodesic.mathdoc.fr/item/TMF_2019_200_2_a12/