Hexagonal boron nitride
(h-BN) is a well-known layered van der
Waals (vdW) material that exhibits no spontaneous electric polarization
due to its centrosymmetric structure. Extensive density functional
theory (DFT) calculations are used to demonstrate that doping through
the substitution of B by isovalent Al and Ga breaks the inversion
symmetry and induces local dipole moments along the c-axis, which promotes a ferroelectric (FE) alignment over antiferroelectric.
For doping concentrations below 25%, a “protruded layered”
structure in which the dopant atoms protrude out of the planar h-BN
layers is energetically more stable than the flat layered structure
of pristine h-BN or a wurtzite structure similar to w-AlN. The computed
polarization, between 7.227 and 21.117 μC/cm2, depending
on dopant concentration and the switching barrier (16.684 and 45.838
meV/atom) for the FE polarization reversal are comparable to that
of other well-known FEs. Interestingly, doping of h-BN also induces
a large negative piezoelectric response in otherwise nonpiezoelectric
h-BN. For example, we compute d
33 of −24.214
pC/N for Ga0.125B0.875N, which is about 5 times
larger than that of pure w-AlN (5 pC/N), although the computed e
33 (−1.164 C/m2) is about
1.6 times lower than that of pure w-AlN (1.462 C/m2). Because
of the layered structure, the rather small elastic constant C
33 provides the origin of the large d
33. Moreover, doping makes h-BN an electric
auxetic piezoelectric. We also show that ferroelectricity in doped
h-BN may persist down to its trilayer, which indicates high potential
for applications in FE nonvolatile memories.