FerroX is a massively parallel, 3D phase-field simulation framework for modeling ferroelectric materials based scalable logic devices. We self-consistently solve the time-dependent Ginzburg Landau (TDGL) equation for ferroelectric polarization, Poisson's equation for electric potential, and semiconductor charge equation for carrier densities in semiconductor regions. The algorithm is implemented using Exascale Computing Project software framework, AMReX, which provides effective scalability on manycore and GPU-based supercomputing architectures. The code can be used for simulations of ferroelectric domain-wall induced negative capacitance (NC) effect in Metal-Ferroelectric-Insulator-Metal (MFIM) and Metal-Ferroelectric-Insulator-Semiconductor-Metal (MFISM) devices.
Our community is here to help. Please report installation problems or general questions about the code in the github Issues tab above.
git clone git@github.com:AMReX-Codes/amrex.git
git clone git@github.com:AMReX-Microelectronics/FerroX.git
Make sure that the AMReX and FerroX are cloned in the same location in their filesystem. Navigate to the Exec folder of FerroX and execute
make -j 4 for a GPU build and make -j 4 USE_CUDA=FALSE for a CPU build.
Example input scripts are located in Examples directory.
You can run the following to simulate a MFIM heterostructure with a 5 nm HZO as the ferroelectric layer and 4 nm alumina as the dielectric layer under zero applied voltage:
mpirun -n 4 ./main3d.gnu.TPROF.MPI.OMP.ex Examples/inputs_mfim_Noeb
mpirun -n 4 ./main3d.gnu.TPROF.MPI.CUDA.ex Examples/inputs_mfim_Noeb
Refer to the following link for several visualization tools that can be used for AMReX plotfiles.
You can extract the data in numpy array format using yt (you can refer to this for installation and usage of yt. After you have installed yt, you can do something as follows, for example, to get variable 'Pz' (z-component of polarization)
import yt
ds = yt.load('./plt00001000/') # for data at time step 1000
ad0 = ds.covering_grid(level=0, left_edge=ds.domain_left_edge, dims=ds.domain_dimensions)
P_array = ad0['Pz'].to_ndarray()
- P. Kumar, M. Hoffmann, A. Nonaka, S. Salahuddin, and Z. Yao, 3D ferroelectric phase field simulations of polycrystalline multi-phase hafnia and zirconia based ultra-thin films, submitted for publication. arxiv
- P. Kumar, A. Nonaka, R. Jambunathan, G. Pahwa, S. Salahuddin, and Z. Yao, FerroX: A GPU-accelerated, 3D Phase-Field Simulation Framework for Modeling Ferroelectric Devices, Computer Physics Communications, 108757, 2023. link