Lattice Planar QED in external magnetic field
Paolo Cea, Leonardo Cosmai, Pietro Giudice, Alessandro Papa
TL;DR
This paper explores how an external magnetic field induces mass in massless Dirac fermions in lattice QED, with potential implications for understanding the quantum Hall effect in graphene.
Contribution
It presents the first lattice QED study showing dynamical mass generation for Dirac fermions under magnetic fields.
Findings
Massive fermions emerge in weak coupling regimes.
Results suggest a link to the quantum Hall effect in graphene.
Preliminary lattice simulations support the phenomenon.
Abstract
We investigate planar Quantum ElectroDynamics (QED) with two degenerate staggered fermions in an external magnetic field on the lattice. Our preliminary results indicate that in external magnetic fields there is dynamical generation of mass for two-dimensional massless Dirac fermions in the weak coupling region. We comment on possible implications to the quantum Hall effect in graphene.
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Taxonomy
TopicsQuantum and electron transport phenomena · Graphene research and applications · Topological Materials and Phenomena