Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach

A high baryon density and strong magnetic fields are expected in peripheral collisions in heavy-ion collision experiments, such as the upcoming Compressed Baryonic Matter experiment at facility for antiproton and ion research in Germany and nuclotron-based ion collider fa\cyrchar\cyrs{}ility in Russia. Such densities are also likely in the core of massive neutron stars, possibly with mixed quark-hadron phases. We employed the chiral effective model to obtain the constituent quark mass in this nonperturbative QCD regime. A quantized version of conductivity and resistivity is found reliable in the quantum domain of low density and high magnetic fields. Landau quantization gives rise to phenomena similar to SdH oscillations and quantum Hall effect in this regime. We have used a density-dependent magnetic field to observe SdH-type oscillations and the possibility of the quantum Hall effect in the interior of neutron stars where the magnetic field varies as a function of the baryon density. Our results indicate the possibility of observing the quantum Hall effect in a neutron star environment.