Regular Article - Theoretical Physics
Thermoelectric properties of the (an-)isotropic QGP in magnetic fields
Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, 430079, Wuhan, China
2 Institute of Quantum Matter, South China Normal University, 510006, Guangzhou, China
Accepted: 5 July 2021
Published online: 17 July 2021
The Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along x-axis and along y-axis ( and ), respectively, induced by the thermal gradient along x-axis, are studied in the QGP at an external magnetic field along z-axis. We calculate the associated Seebeck coefficient () and Nernst signal (N) using the relativistic Boltzmann equation under the relaxation time approximation. In an isotropic QGP, the influences of magnetic field (B) and quark chemical potential () on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find for a fixed is negative (positive) in sign, indicating that the dominant carriers for converting heat gradient to electric field are negatively (positively) charged quarks. The absolute value of decreases with increasing temperature. Unlike , the sign of N is independent of charge carrier type, and its thermal behavior displays a peak structure. In the presence of strong magnetic field, due to the Landau quantization of transverse motion of (anti-)quarks perpendicular to magnetic field, only the longitudinal Seebeck coefficient () exists. Our results show that the value of at a fixed in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, decreases and even its sign changes from positive to negative. The computations of these thermoelectric transport coefficients are also extended to a medium with momentum-anisotropy induced by initial spatial expansion as well as strong magnetic field.
© The Author(s) 2021
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