  In this work, we establish a theoretical analysis of the emergence of
layer-contrasted Nernst response perpendicular to the direction of the
temperature gradient in twisted moir\'{e} layers, called layer Nernst effect
(LNE). This phenomenon arises from the trigonal warping of the Fermi surface
along with a layer-contrasted pseudomagnetic field. Interestingly, the Fermi
surface's warping explicitly breaks intra-valley inversion symmetry, which
leads to an imbalance between left- and right-moving carriers, thus resulting
in a non-vanishing LNE. We then validate our theoretical scheme by applying it
to twisted bilayer graphene (TBG). Importantly, we find that the LNE
coefficient in TBG can reach values as high as $10^3$A/(m$\cdot$K), surpassing
those of previously known materials by at least one order of magnitude. These
results provide a theoretical foundation for utilizing TBG and other twisted
moir\'{e} layers as promising platforms to explore layer caloritronics and
develop thermoelectric devices.
