Abstract
A close study is made of the static structure factor for graphene in a magnetic field at integer filling factors $\ensuremath{\nu}$, with focus on revealing possible signatures of ``relativistic'' quantum field theory in the low-energy physics of graphene. It is pointed out, in particular, that for graphene even the vacuum state has a nonzero density spectral weight, which, together with the structure factor for all $\ensuremath{\nu}$, grows significantly with increasing wave vector; such unusual features of density correlations are a relativistic effect deriving from massless Dirac quasiparticles in graphene. Remarkably, it turns out that the zero-energy Landau levels of electrons or holes, characteristic to graphene, remain indistinguishable in density response from the vacuum state, although they are distinct in Hall conductance.
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