# Static structure factor for graphene in a magnetic field

Source: [Static structure factor for graphene in a magnetic field](<https://www.sota2.com/research/paper/68fa27f22c2a3760193c5de4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:49.360Z

Authors: K. Shizuya

Published: 2007-11-27T11:45:28.000Z

## Abstract

A close study is made of the static structure factor for graphene in a magnetic field at integer filling factors 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 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0711.4233>)

[PDF](<https://arxiv.org/pdf/0711.4233.pdf>)