Delocalization of vortex zero modes in graphene with real and pseudo magnetic fields

Details Delocalization of vortex zero modes in graphene with real and pseudo magnetic fields Delocalization of vortex zero modes in graphene with real and pseudo magnetic fields

2011-10-12

arxiv.org/abs/1110.2584v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 Pages, 1 Figure

Scientific paper

Zero energy states in Dirac spectrum with various U(1) symmetric massive vortex of insulating orders in graphene is constructed in the presence of both real and pseudo magnetic fields. Vortex with easy plane antiferromagnet (AF) and quantum spin Hall (QSH) host two zero energy states, however with different length scales. With an AF order the natural choice of the filled zero mode in the presence of a weak half-skyrmion is the one with shorter decay length. Modes at zero energy are found have finite but oscillatory charge and magnetization near the vortex core. With a Kekule vortex, pseudo magnetic field only provides additional factor to the zero energy mode in ordinary magnetic field. Additional orders parameters may exist in the vortex core and acquire the expectation values only from the zero energy subspace, even when the fields penetrate the system.

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