Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-12-29
Int.J.Mod.Phys. A13 (1998) 841-861
Physics
High Energy Physics
High Energy Physics - Theory
New material added. ReVTeX , 31 pgs., 4 figs.(uses epsf)
Scientific paper
10.1142/S0217751X98000378
Using a description of defects in solids in terms of three-dimensional gravity, we study the propagation of electrons in the background of disclinations and screw dislocations. We study the situations where there are bound states that are effectively localized on the defect and hence can be described in terms of an effective 1+1 dimensional field theory for the low energy excitations. In the case of screw dislocations, we find that these excitations are chiral and can be described by an effective field theory of chiral fermions. Fermions of both chirality occur even for a given direction of the magnetic field. The ``net'' chirality of the system however is not always the same for a given direction of the magnetic field, but changes from one sign of the chirality through zero to the other sign as the Fermi momentum or the magnitude of the magnetic flux is varied. On coupling to an external electromagnetic field, the latter becomes anomalous, and predicts novel conduction properties for these materials.
Balachandran Aiyalam P.
John Varghese
Momen Arshad
Moraes Fernando
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