AbstractThe Seebeck effect and the Nernst effect, which reflect the appearance of electric fields along x-axis and along y-axis ($$E_{x}$$
E
x
and $$E_{y}$$
E
y
), 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 ($$S_{xx}$$
S
xx
) 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 ($$\mu _{q}$$
μ
q
) on these thermoelectric transport coefficients are investigated. In the presence (absence) of weak magnetic field, we find $$S_{xx}$$
S
xx
for a fixed $$\mu _{q}$$
μ
q
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 $$S_{xx}$$
S
xx
decreases with increasing temperature. Unlike $$S_{xx}$$
S
xx
, 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 ($$S_{zz}$$
S
zz
) exists. Our results show that the value of $$S_{zz}$$
S
zz
at a fixed $$\mu _{q}$$
μ
q
in the lowest Landau level (LLL) approximation always remains positive. Within the effect of high Landau levels, $$S_{zz}$$
S
zz
exhibits a thermal structure similar to that in the LLL approximation. As the Landau level increases further, $$S_{zz}$$
S
zz
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.
Thermoelectric properties of the (an-)isotropic QGP in magnetic fields
