Parameters¶

8.1 Geometry / phase composition¶

Parameter	Description	Unit	Default	Range
`area`	Device area (instance)	m²	1e-12	[1e-18, ∞)
`p_ferro`	Ferroelectric (orthorhombic) area fraction	1	0.6	[0, 1]

Parameter	Description	Unit	Default	Range
`t_fe`	Ferroelectric film thickness	m	9.8e-9	[1e-9, 5e-8]
`t_int`	Interface (dead) layer thickness	m	2e-9	[1e-10, 2e-8]
`eps_fe`	Rel. permittivity, orthorhombic HZO	1	70	[1, 100]
`eps_de`	Rel. permittivity, monoclinic HZO	1	20	[1, 100]
`eps_int`	Rel. permittivity, interface layer	1	70	[1, 500]
`eps_depl`	Rel. permittivity, electrode-side depletion region	1	2.2	(0, 100]

Parameter	Description	Unit	Default	Range
`w_b`	Switching energy barrier height	eV	1.05	(0, ∞)
`d_e`	Ion/jump distance (see §3 unit note)	m (declared m²)	7.5e-9	(0, ∞)
`e_off`	Offset (built-in) electric field	V/m	0	[-1e9, 1e9]
`p_s`	Saturation polarization density	C/m²	0.27	[1e-3, 1]

Parameter	Description	Unit	Default	Range
`n_depl`	Carrier density, interface depletion region	m⁻³	1.4e28	[1e25, 1e30]
`q_fix_depl_u`	Fixed interface charge, "up" state	(norm.)	-0.08	[-1, 1]
`q_fix_depl_d`	Fixed interface charge, "down" state	(norm.)	0.20	[-1, 1]

Parameter	Description	Unit	Default	Range
`m_eff_fe`	Electron effective mass (×m₀)	1	0.1	[0.01, ∞)
`phi_b_fe`	Electrode/HfO₂ barrier height	eV	2.0	(0, 5]
`n_tr_fe`	Trap density	m⁻³	1e25	[1e18, 1e28]
`w_tr_t_fe`	Trap depth	eV	2.1	[0, 5]
`w_tr_rel_fe`	Trap relaxation energy	eV	1.19	[0, 5]
`dos_trap_fe`	Trap DOS	m	1e-8	[1e-10, 1e40]
`x_c_fe`	TAT characteristic hop length	m	5e-9	[1e-10, 1e-7]

Parameter	Description	Unit	Default	Range
`m_eff_int`	Electron effective mass (×m₀)	1	0.4	[0.01, ∞)
`phi_b_int`	Electrode/interface barrier height	eV	3.1	(0, 5]
`n_tr_int`	Trap density	m⁻³	1e23	[1e18, 1e28]
`w_tr_t_int`	Trap depth	eV	3.0	[0, 5]
`w_tr_rel_int`	Trap relaxation energy	eV	0.4	[0, 5]
`dos_trap_int`	Trap DOS	m	1e-8	[1e-10, 1e40]
`x_c_int`	TAT characteristic hop length	m	1e-9	[1e-10, 1e-7]

Parameter	Perturbs	Default
`area_mc`	`area`	0
`t_fe_mc`	`t_fe`	0
`t_int_mc`	`t_int`	0
`p_s_mc`	`p_s` (also used deterministically, see §4)	0
`n_depl_mc`	`n_depl`	0