Zero Field Hall Effect in (2+1)-dimensional QED

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dc.creatorLeitner, Marianne
dc.date2005-05-17
dc.date2008-04-25
dc.date.accessioned2026-07-07T09:35:03Z
dc.date.available2026-07-07T09:35:03Z
dc.descriptionIn QED of two space dimensions, a quantum Hall effect occurs in the absence of any magnetic field. We give a simple and transparent explanation. In solid state physics, the Hall conductivity for non-degenerate ground state is expected to be given by an integer, the Chern number. In our field-free situation, however, the conductivity is $\pm 1/2$ in natural units. We fit this half-integral result into the topological setting and give a geometric explanation reconciling the points of view of QFT and solid state physics. For quasi-periodic boundary conditions, we calculate the finite size correction to the Hall conductivity. Applications to graphene and similar materials are discussed.
dc.identifierhttps://arxiv.org/abs/cond-mat/0505428
dc.identifierhttp://arxiv.org/abs/cond-mat/0505428
dc.identifierAdv. Theor. Math. Phys. 12 (2008), 479-491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159707
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleZero Field Hall Effect in (2+1)-dimensional QED
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