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transport_fed.py
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112 lines (102 loc) · 4.34 KB
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import math
import scipy.constants as constants
from atomicunits import AtomicUnits
class FerroelectricDiode:
def __init__(
self,
insulator_thickness,
fe_thickness,
dead_layer_thickness,
top_electrode,
bottom_electrode,
insulator,
ferroelectric,
fe_model,
):
self.insulator_thickness = insulator_thickness
self.fe_thickness = fe_thickness
self.dl_thickness = dead_layer_thickness
self.barrier_thickness = insulator_thickness + fe_thickness + dead_layer_thickness
self.insulator_k = insulator.k
self.fe_k = ferroelectric.k
self.dl_k = ferroelectric.k / 2
self.top_k = top_electrode.k
self.bottom_k = bottom_electrode.k
# Optical (high-frequency) permittivities used for image-force lowering
# (polarization_barrier_coupling.md Eq. 15) and Tsymbal-Kohlstedt metal
# screening (Eq. 5/6). Metal eps_inf falls back to the lattice k field
# (k=1 by default for free-electron metals - Drude tail; see audit row 24).
self.insulator_eps_inf = (
insulator.eps_inf if insulator.eps_inf is not None else insulator.k
)
self.fe_eps_inf = (
ferroelectric.eps_inf if ferroelectric.eps_inf is not None else ferroelectric.k
)
self.top_eps_inf = getattr(top_electrode, "eps_inf", None) or top_electrode.k
self.bottom_eps_inf = getattr(bottom_electrode, "eps_inf", None) or bottom_electrode.k
self.insulator_chi = insulator.chi
self.fe_chi = ferroelectric.chi
self.top_work_fxn = top_electrode.w_f
self.bottom_work_fxn = bottom_electrode.w_f
self.top_fermi_e = top_electrode.e_f
self.bottom_fermi_e = bottom_electrode.e_f
self.top_n0 = top_electrode.n0
self.bottom_n0 = bottom_electrode.n0
self.insulator_m_eff = insulator.m_eff
self.fe_m_eff = ferroelectric.m_eff
self.top_m_eff = top_electrode.m_eff
self.bottom_m_eff = bottom_electrode.m_eff
self.fe_trap_depth = ferroelectric.trap_depth
# HfO_x / Al2O3 deep-trap depth for PF in IL region. Falls back to
# ferroelectric.trap_depth only if the insulator class lacks the field
# (parameter_audit_20260506.md punch #4, #8).
self.insulator_trap_depth = (
insulator.trap_depth if insulator.trap_depth is not None else ferroelectric.trap_depth
)
self.name = (
f"{top_electrode.name}-{insulator.name}-{ferroelectric.name}-{bottom_electrode.name}"
)
self.fe_model = fe_model
if top_electrode.screening_len is None:
self.top_screening_len = AtomicUnits.m_to_bohr(
math.sqrt(
top_electrode.k
* 2
* constants.epsilon_0
* AtomicUnits.hartree_to_joule(top_electrode.e_f)
/ (3 * constants.e**2 * AtomicUnits.convert_back_density(top_electrode.n0))
)
)
else:
self.top_screening_len = top_electrode.screening_len
if bottom_electrode.screening_len is None:
self.bottom_screening_len = AtomicUnits.m_to_bohr(
math.sqrt(
bottom_electrode.k
* 2
* constants.epsilon_0
* AtomicUnits.hartree_to_joule(bottom_electrode.e_f)
/ (3 * constants.e**2 * AtomicUnits.convert_back_density(bottom_electrode.n0))
)
)
else:
self.bottom_screening_len = bottom_electrode.screening_len
self.dl_polarization = 0.0
self.fe_polarization = self.fe_model.avg_polarization()
def m_eff(self, x):
top_screen_region = 5 * self.top_screening_len
il_end = top_screen_region + self.insulator_thickness
fe_end = il_end + self.fe_thickness
dl_end = fe_end + self.dl_thickness
if x <= top_screen_region:
return self.top_m_eff
if x <= il_end:
return self.insulator_m_eff
if x <= fe_end:
return self.fe_m_eff
if x <= dl_end:
return self.fe_m_eff
return self.bottom_m_eff
def get_polarization(self):
self.fe_polarization = self.fe_model.avg_polarization()
return self.fe_polarization