Recently, a novel
two-dimensional (2D) Dirac material BeN
4
monolayer has
been fabricated experimentally through high-pressure
synthesis. In this work, we investigate the thermal properties of
a new class of 2D materials with a chemical formula of MN
4
(M = Be and Mg) using first-principles calculations. First, the
cohesive energy and phonon dispersion curve confirm the dynamical
stability of BeN
4
and MgN
4
monolayers. Besides,
BeN
4
and MgN
4
monolayers have the anisotropic
lattice thermal conductivities of 842.75 (615.97) W m
–1
K
–1
and 52.66 (21.76) W m
–1
K
–1
along the armchair (zigzag) direction, respectively.
The main contribution of the lattice thermal conductivities of BeN
4
and MgN
4
monolayers are from the low frequency
phonon branches. Moreover, the average phonon heat capacity, phonon
group velocity, and phonon lifetime of BeN
4
monolayer are
3.54 × 10
5
J K
–1
m
–3
, 3.61 km s
–1
, and 13.64 ps, which are larger than
those of MgN
4
monolayer (3.42 × 10
5
J K
–1
m
–3
, 3.27 km s
–1
, and 1.70 ps), indicating the larger lattice thermal conductivities
of BeN
4
monolayer. Furthermore, the mode weighted accumulative
Grüneisen parameters (MWGPs) of BeN
4
and MgN
4
monolayers are 2.84 and 5.62, which proves that MgN
4
monolayer has stronger phonon scattering. This investigation will
enhance an understanding of thermal properties of MN
4
monolayers
and drive the applications of MN
4
monolayers in nanoelectronic
devices.