Graphene: New bridge between condensed matter physics and quantum electrodynamics

By M. Katsnelson, K. Novoselov. 2007

526 citations recorded by the source corpus.

Abstract Graphene is the first example of truly two-dimensional crystals—it is just one layer of carbon atoms. It turns out to be a gapless semiconductor with unique electronic properties resulting from the fact that charge carriers in graphene demonstrate charge-conjugation symmetry between electrons and holes and possess an internal degree of freedom similar to “chirality” for ultrarelativistic elementary particles. It provides an unexpected bridge between condensed matter physics and quantum electrodynamics (QED). In particular, the relativistic Zitterbewegung leads to the minimum conductivity of the order of conductance quantum e 2 / h in the limit of zero doping; the concept of Klein paradox (tunneling of relativistic particles) provides an essential insight into electron propagation through potential barriers; vacuum polarization around charge impurities is essential for understanding of high electron mobility in graphene; an index theorem explains the anomalous quantum Hall effect.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/b531c159d86cb42c619c82aa63fc28f90b453f5d

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Artificial gauge fields in materials and engineered systems (2017, unknown): “In general the coupling matrix elements in the tight-binding model of a deformed graphene lattice are all nonequivalent and one can show that the Dirac-like effective Hamiltonian, which describes the low-energy dynamics of the system, is then modified according to [289]”
Colloquium: The transport properties of graphene: An introduction (2010, methodology): “The phase shift δm(kR) of the m partial wave is given by (Basko, 2008; Hentschel and Guinea, 2007; Katsnelson and Novoselov, 2007; Stauber et al., 2007; Wehling et al., 2009) tan δm(kR) = Jm(kR) Ym(kR) .”
The reduction of graphene oxide (2012, unknown): “[26] Katsnelson MI, Novoselov KS.”