|VOLUME 110 | ISSUE 3 |
Casimir effects in 2D Dirac Materials
N. Khusnutdinov+*, L. M. Woods×
+Centro de Matemática, Computaço e Cogniço, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil
*Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
×Department of Physics, University of South Florida, 33620 Tampa, Florida USA
Fluctuation induced interactions originating from
electromagnetic fields give rise to the Casimir force. Even though this
is a universal interaction, because of the interplay between the response
properties of interacting objects and their geometry the Casimir force
can have many types of scaling laws, variations in magnitude and sign,
and wide dependences on characteristic constants. The Casimir interaction
is especially prominent in systems with reduced dimensions at micron and
submicron scale separations. In recent years, examining this type of
force for many nanostructured and chemically inert materials has
become of great interest. Here we review advances in the field of Casimir
physics in the context of 2D layered materials with Dirac energy
spectrum, such as graphene and related materials. The focus is on Casimir
interactions and frictional effects with emphasis on the zero point
energy summation approach used for calculations. After giving an overview
of this powerful technique, the optical response properties of graphene
described with different models is presented. Numerical and analytical
results in terms of characteristic behaviors for Casimir and
Casimir-Polder interactions involving a stack of parallel layers are summarized.
Other key results in the expanded graphene materials as well as their
Casimir friction are also presented.
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