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SUMMARY:Spectral properties of a Dirac operator arising in models of graph
 ene - Elton\, DM (Lancaster University)
DTSTART:20120731T104500Z
DTEND:20120731T113000Z
UID:TALK39101@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider a Dirac operator which arises in modeling conducti
 on within potential channels in graphene. For long uniform channels this r
 educes to a 1-dimensional linear spectral pencil problem for a Dirac opera
 tor with mass and a potential representing the channel cross section\; a c
 oupling constant in front of the potential is considered as the spectral p
 arameter. Basic spectral properties are studied\, together with the spectr
 al asymptotics for large coupling constants. The latter show a surprisingl
 y subtle dependence on the variation of the potential's sign and regions o
 n which it is identically zero.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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