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Feb 11, 2025
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⚡ Fossum model for carrier lifetime #2231

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39 changes: 26 additions & 13 deletions tests/test_components/test_heat_charge.py
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Original file line number Diff line number Diff line change
Expand Up @@ -39,18 +39,25 @@ class CHARGE_SIMULATION:
N_c=2.86e19,
N_v=3.1e19,
E_g=1.11,
mobility=CaugheyThomasMobility(
mu_n_min=52.2,
mu_n=1471.0,
mu_p_min=44.9,
mu_p=470.5,
exp_t_mu=-2.33,
exp_d_n=0.68,
exp_d_p=0.719,
mobility_n=CaugheyThomasMobility(
mu_min=52.2,
mu=1471.0,
ref_N=9.68e16,
exp_N=0.68,
exp_1=-0.57,
exp_2=-2.33,
exp_3=2.4,
exp_4=-0.146,
),
mobility_p=CaugheyThomasMobility(
mu_min=44.9,
mu=470.5,
ref_N=2.23e17,
exp_t_mu_min=-0.57,
exp_t_d=2.4,
exp_t_d_exp=-0.146,
exp_N=0.719,
exp_1=-0.57,
exp_2=-2.33,
exp_3=2.4,
exp_4=-0.146,
),
R=[
AugerRecombination(c_n=2.8e-31, c_p=9.9e-32),
Expand Down Expand Up @@ -633,10 +640,10 @@ def test_heat_charge_medium_validation(mediums):


def test_constant_mobility():
constant_mobility = td.ConstantMobilityModel(mu_n=1500, mu_p=500)
constant_mobility = td.ConstantMobilityModel(mu=1500)

with pytest.raises(pd.ValidationError):
_ = constant_mobility.updated_copy(mu_p=-1)
_ = constant_mobility.updated_copy(mu=-1)


def test_heat_charge_structures_creation(structures):
Expand Down Expand Up @@ -1344,3 +1351,9 @@ def test_additional_edge_cases():
sources=[],
monitors=[],
)


def test_fossum():
"""Check that fossum model can be defined."""

_ = td.FossumCarrierLifetime(tau_300=3.3e-6, alpha_T=-0.5, N0=7.1e15, A=1, B=0, C=1, alpha=1)
2 changes: 2 additions & 0 deletions tidy3d/__init__.py
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Original file line number Diff line number Diff line change
Expand Up @@ -34,6 +34,7 @@
TemperatureData,
)
from tidy3d.components.tcad.doping import ConstantDoping, GaussianDoping
from tidy3d.components.tcad.generation_recombination import FossumCarrierLifetime
from tidy3d.components.tcad.grid import DistanceUnstructuredGrid, UniformUnstructuredGrid
from tidy3d.components.tcad.monitors.charge import (
SteadyCapacitanceMonitor,
Expand Down Expand Up @@ -580,6 +581,7 @@ def set_logging_level(level: str) -> None:
"ConstantMobilityModel",
"SlotboomBandGapNarrowing",
"ShockleyReedHallRecombination",
"FossumCarrierLifetime",
"AugerRecombination",
"RadiativeRecombination",
"ConstantDoping",
Expand Down
29 changes: 18 additions & 11 deletions tidy3d/components/material/multi_physics.py
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Original file line number Diff line number Diff line change
Expand Up @@ -33,18 +33,25 @@ class MultiPhysicsMedium(Tidy3dBaseModel):
... N_c=2.86e19,
... N_v=3.1e19,
... E_g=1.11,
... mobility=td.CaugheyThomasMobility(
... mu_n_min=52.2,
... mu_n=1471.0,
... mu_p_min=44.9,
... mu_p=470.5,
... exp_t_mu=-2.33,
... exp_d_n=0.68,
... exp_d_p=0.719,
... mobility_n=td.CaugheyThomasMobility(
... mu_min=52.2,
... mu=1471.0,
... ref_N=9.68e16,
... exp_N=0.68,
... exp_1=-0.57,
... exp_2=-2.33,
... exp_3=2.4,
... exp_4=-0.146,
... ),
... mobility_p=td.CaugheyThomasMobility(
... mu_min=44.9,
... mu=470.5,
... ref_N=2.23e17,
... exp_t_mu_min=-0.57,
... exp_t_d=2.4,
... exp_t_d_exp=-0.146,
... exp_N=0.719,
... exp_1=-0.57,
... exp_2=-2.33,
... exp_3=2.4,
... exp_4=-0.146,
... ),
... R=[
... td.ShockleyReedHallRecombination(
Expand Down
41 changes: 27 additions & 14 deletions tidy3d/components/material/tcad/charge.py
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Original file line number Diff line number Diff line change
Expand Up @@ -192,18 +192,25 @@ class SemiconductorMedium(AbstractChargeMedium):
... N_c=2.86e19,
... N_v=3.1e19,
... E_g=1.11,
... mobility=td.CaugheyThomasMobility(
... mu_n_min=52.2,
... mu_n=1471.0,
... mu_p_min=44.9,
... mu_p=470.5,
... exp_t_mu=-2.33,
... exp_d_n=0.68,
... exp_d_p=0.719,
... mobility_n=td.CaugheyThomasMobility(
... mu_min=52.2,
... mu=1471.0,
... ref_N=9.68e16,
... exp_N=0.68,
... exp_1=-0.57,
... exp_2=-2.33,
... exp_3=2.4,
... exp_4=-0.146,
... ),
... mobility_p=td.CaugheyThomasMobility(
... mu_min=44.9,
... mu=470.5,
... ref_N=2.23e17,
... exp_t_mu_min=-0.57,
... exp_t_d=2.4,
... exp_t_d_exp=-0.146,
... exp_N=0.719,
... exp_1=-0.57,
... exp_2=-2.33,
... exp_3=2.4,
... exp_4=-0.146,
... ),
... R=([
... td.ShockleyReedHallRecombination(
Expand Down Expand Up @@ -270,10 +277,16 @@ class SemiconductorMedium(AbstractChargeMedium):
units=ELECTRON_VOLT,
)

mobility: MobilityModelType = pd.Field(
mobility_n: MobilityModelType = pd.Field(
...,
title="Mobility model for electrons",
description="Mobility model for electrons",
)

mobility_p: MobilityModelType = pd.Field(
...,
title="Mobility model",
description="Mobility model",
title="Mobility model for holes",
description="Mobility model for holes",
)

R: Tuple[RecombinationModelType, ...] = pd.Field(
Expand Down
67 changes: 63 additions & 4 deletions tidy3d/components/tcad/generation_recombination.py
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Original file line number Diff line number Diff line change
@@ -1,6 +1,65 @@
import pydantic.v1 as pd

from tidy3d.components.base import Tidy3dBaseModel
from tidy3d.components.types import Union
from tidy3d.constants import PERCMCUBE, SECOND


class FossumCarrierLifetime(Tidy3dBaseModel):
"""
Parameters for the Fossum carrier lifetime model

Notes
-----

This model expresses the carrier lifetime as a function of the temperature and doping concentration.

.. math::

\\tau = \\frac{\\tau_{300} \\left( T/300 \\right)^\\alpha_T}{A + B (N/N_0) + C (N/N_0)^\\alpha}

Example
-------
>>> import tidy3d as td
>>> default_Si = td.FossumCarrierLifetime(
... tau_300=3.3e-6,
... alpha_T=-0.5,
... N0=7.1e15,
... A=1,
... B=0,
... C=1,
... alpha=1
... )

References
----------

Fossum, J. G., and D. S. Lee. "A physical model for the dependence of carrier lifetime on doping density in nondegenerate silicon." Solid-State Electronics 25.8 (1982): 741-747.

"""

tau_300: pd.PositiveFloat = pd.Field(
..., title="Tau at 300K", description="Carrier lifetime at 300K", units=SECOND
)

alpha_T: float = pd.Field(
..., title="Exponent for thermal dependence", description="Exponent for thermal dependence"
)

N0: pd.PositiveFloat = pd.Field(
..., title="Reference concentration", description="Reference concentration", units=PERCMCUBE
)

A: float = pd.Field(..., title="Constant A", description="Constant A")

B: float = pd.Field(..., title="Constant B", description="Constant B")

C: float = pd.Field(..., title="Constant C", description="Constant C")

alpha: float = pd.Field(..., title="Exponent constant", description="Exponent constant")


CarrierLifetimeType = Union[FossumCarrierLifetime]


class AugerRecombination(Tidy3dBaseModel):
Expand Down Expand Up @@ -98,10 +157,10 @@ class ShockleyReedHallRecombination(Tidy3dBaseModel):
- This model represents mid-gap traps Shockley-Reed-Hall recombination.
"""

tau_n: pd.PositiveFloat = pd.Field(
..., title="Electron lifetime", description="Electron lifetime in seconds. TODOMARCCHECK"
tau_n: Union[pd.PositiveFloat, CarrierLifetimeType] = pd.Field(
..., title="Electron lifetime", description="Electron lifetime", union=SECOND
)

tau_p: pd.PositiveFloat = pd.Field(
..., title="Hole lifetime", description="Hole lifetime in seconds. TODOMARCCHECK."
tau_p: Union[pd.PositiveFloat, CarrierLifetimeType] = pd.Field(
..., title="Hole lifetime", description="Hole lifetime", units=SECOND
)
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