Electrical conductivity of strongly magnetized dense quark matter - possibility of quantum Hall effect
Jayanta Dey, Aritra Bandyopadhyay, Akash Gupta, Naman Pujari, Sabyasachi Ghosh
Abstract
We have pointed out the possibilities of quantum Hall effect (QHE) and Shubnikov-de Haas (SdH) oscillation in the transportation of strongly magnetized degenerate quark matter- expected inside the highly dense compact star, such as the neutron star . The anisotropic pattern of electrical conductivity and resistivity tensor is explored in classical to quantum cases by considering the Landau quantization of quarks in the presence of a finite magnetic field . With increasing magnetic field, classical to quantum transitions are realized through enhanced (reduced) resistivity (conductivity) with QHE/SdH type oscillatory patterns. Estimating QCD relaxation time for degenerate quark matter from Ref. [57] , e B ≈ ( 1 − 4 ) m π 2 can be considered a strong magnetic field for massless and degenerate quark matter with quark chemical potential μ ≈ 0.2 − 0.4 GeV. We discovered exotic quantum magnetic oscillating patterns associated with the QHE and SdH phenomena within the mentioned regimes.