General relativity and graphene
General relativity and graphene
General relativity and graphene
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<strong>General</strong>ization<br />
A. Cortijo <strong>and</strong> MAHV,<br />
EPL (07), Nucl. Phys. B (07).<br />
Cosmic strings induce conical defects in the universe.<br />
The motion of a spinor field in the resulting curved<br />
space is known in general <strong>relativity</strong>.<br />
<strong>General</strong>ize the geometry of a single string by including<br />
negative deficit angles (heptagons). Does not make sense<br />
in cosmology but it allows to model <strong>graphene</strong> with an<br />
arbitrary number of heptagons <strong>and</strong> pentagons.<br />
2 2 −2 Λ( xy , ) 2 2<br />
ds =− dt + e ( dx + dy )<br />
N<br />
∑<br />
Λ ( r) = 4µ<br />
log( r) , r = ⎡<br />
⎣( x− a ) + ( y−b)<br />
i=<br />
1<br />
2 2<br />
i i i i i<br />
The metric of N cosmic strings located<br />
at (a, b) i with deficit (excess) angles µ i .<br />
⎤<br />
⎦<br />
1/2
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