“…In addition, the thermal emission also has been widely studied due to their importance in both vacuum and solid-state devices [3,4]. Accordingly, FE is widely applicable to modern technologies; such as displays [5][6][7][8], lithography [9,10], x-ray tubes [11][12][13], and electron microscopes [14,15]. In FE, electrons of the cathode material pass through the material surface into vacuum by overcoming the electrostatic barrier, under an external electric field on the order of 10∼100 MV/cm.…”