Graphene is a quasi-2D material formed by carbon atoms in a hexagonal lattice. Graphene-based materials are of great interest for Nanoscience and Nanotechnology, mainly for Nanoelectronics.
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votes
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Exact diagonalization of graphene's tight binding Hamiltonian
While directly diagonalize graphene's tight binding Hamiltonian, which is numerical. We have to use a finite-sized graphene.
So how to deal with boundary conditions? The usual solutions are zigzag or ...
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votes
1answer
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Graphene as optical and UV mirrors
One usually hears about graphene as a good thermal conductor, and good light absorber due to its tunable bandgap properties. But i haven't heard about its aplicability as an optical mirror. In fact, ...
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votes
1answer
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Easy to do experiments that clearly show outstanding properties of graphene
By chance we received for free some monolayer graphene sheets (20 cm x 20 cm) and mixed coper-graphene wires at our University. I would like to prepare some very easy to do experiments for the ...
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votes
1answer
304 views
Helicity and Pseudospin in Graphene
The Hamiltonian for graphene at $\vec{k}$ away from the $K$ point is proportional to
$$
\vec{\sigma} \cdot \vec{k} =\begin{pmatrix}
0 & k_x - i k_y \\
k_x + i k_y & 0 \\
\end{pmatrix}
=
k ...
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votes
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Significance of Dirac cones in condensed matter physics
In condensed matter physics, Dirac cones can be found in graphene, topological insulators, cuprates, and iron-pnictides. This means that electrons behave as massless particles near the Dirac points.
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A question about Dirac operator
The Dirac operator at 2 dimension can be written as
$$
D=\sum_{k=1,2}\sigma^{k}D_{k}=\left( \begin{array}{cc}
0 & \partial_{x}-i\partial_{y}-i(A_x-iA_y)\\
...
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vote
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Construct the Hamiltonian of electrons on a graphene sheet ( in xy plane)
Graphene is a two-dimensional material formed by carbon atoms in a
honeycomb lattice. Because of the symmetry of the honeycomb lattice, the
electrons in graphene obey a linear dispersion relation ...
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votes
0answers
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Wave function ansatz for disclinated graphene with spin
I am currently investigating spin dynamics in disclinated graphene. More information about my approach can be found in my other post. I would like to know if my approach is somewhat correct to find ...
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votes
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Does graphene actually remain strong for macroworld engineering?
I heard that people envision strong structural materials made out of graphene, but I heard it may weaken when being stack in layers. Is graphene viable for macroworld structural engineering or is it ...
