next up previous contents
Next: List of Figures Up: diss Previous: List of Abbreviations   Contents

List of Symbols


$A_\mathrm{down}$ 		 Area in the PE Diagram with Down Oriented Dipoles 

$A_\mathrm{up}$ Area in the PE Diagram with Up Oriented Dipoles
$C_B$ Bitline Capacity
$C_F$ Ferroelectric Capacitor
$C_S$ Sense Capacitor
$d$ Width
$D$ Electric Displacement
$E$ Electric Field
$E_a$,$E_b$ Operating Points of the Electric Field
$E_c$ Coercive Field
$E_{i}$,$E_{k}$ Electric Field at the Grid Point i, k
$E_{i,x}$$E_{i,y}$ x- and y-Component of the Electric Field at the Grid Point i
$E_{ik}$ Electric Field between the Grid Points i and k
$E_{ik,x}$,$E_{ik,x}$ x- and y-Component of the Electric Field between the Grid Points i and k
$E_\mathrm{d}$ Transition Field in the Down Direction
$E_\mathrm{old}$ Electric Field of the Previous Operating Point
$E_\mathrm{stat}$ Static Electric Field

$E_\mathrm{turn}$ Turning Point Electric Field
$E_\mathrm{u}$ Transition Field in the Up Direction
$E_1$ Electric Field of the Current Operating Point
$E_{1,\perp}$ Orthogonalized Field

$f(E \pm E_c,k)$ Hysteresis Shape Function
$f_{\mathrm{loc},\parallel}$ Subcycle Parallel to the Electric Field
$f_{\mathrm{loc},\perp}$ Subcycle Orthogonal to the Electric Field
$F(E_u,E_d)$ Distribution Function of the Transition Fields
$G$ Total Free Energy
$I$ Electrical Current
$I_d$ Drain Current
$I_0$ Initial Current
$k$ Subcycle Parameter
$k_\mathrm{nonlin}$ Parameter of the Nonlinear Transient Polarization Term

$p_n$ Dipole Moment of the nth Dipole
$p_m,n$ Dipole Moment of the nth Dipole in the mth Row

$P$ Polarization
${P}_\mathrm{ef}$,${P}_\mathrm{pol}$ Transient Polarization Components
$P_\mathrm{nonlin}$ Nonlinear Transient Polarization
$P_\mathrm{off}$ Subcycle Parameter
$P_\mathrm{old}$ Polarization of the Previous Operating Point
$P_\mathrm{stat}$ Static Polarization
$P_\mathrm{turn}$ Turning Point Polarization
$P_\mathrm{Ferro}$ Hysteretic Polarization
$P_\mathrm{Part}$ Dipole Polarization
$P_\mathrm{Rem}$ Remanent Polarization
$P_S$ Spontaneous Polarization
$P_\mathrm{Sat}$ Saturation Polarization
$P_\mathrm{turn}$ Turning Point Polarization
$P_0$ Polarization in the Domain Center
${P}_{\parallel}$ Polarization Parallel to the Electric Field
${P}_{\perp}$ Polarization Orthogonal to the Electric Field
$P_1$ Current Polarization
$P_{\mathrm{old},\parallel}$ Previous Parallel Component of the Polarization
$P_{\mathrm{old},\perp}$ Previous Orthogonal Component of the Polarization

$P_{1,\parallel}$ Current Parallel Component of the Polarization
$P_{1,\perp,init}$ Initial Guess to the Current Orthogonal Component of the Polarization
$P_{1,\perp}$ Current Orthogonal Component of the Polarization

$R_f$ Series Resistance of the Ferroelectric Capacitor
$R_i$ Input Resistanc of the Digitizer
$s_h$ Sign Flag

$t$ Time
$t_\mathrm{cryst}$ Crystal Thickness
$\Delta t$ Time-step
$T$ Temperature
$T_\mathrm{C}$ Curie Temperature
$V$ Volume
$V_g$ Gate Voltage
$V_\mathrm{i}$ Input Voltage
$V_\mathrm{out}$ Output Voltage
$V_t$ Threshold Voltage
$V_B$ Bulk Voltage
$V_D$ Drain Voltage
$V_DD$ Supply Voltage
$V_S$ Source Voltage

$w$ Shape Parameter
$W_\mathrm{dip}$ Dipole Energy
$W_E$ Depolarization Energy
$W_W$ Wall Energy
$vec{X}$ Space Coordinate
$\alpha $ Angle
$\alpha,\beta$ Parameters for the Free Energy Model

$\chi$ Susceptibility
$\epsilon_r$ Relative Permittivity
$\epsilon_0$ Vacuum permittivity
$\epsilon^*$ Constant Depending on the Permitivity

$\gamma$ Viscosity Coefficient

$\Phi_i$, $\Phi_k$ Potenial at Grid Point i,k
$\rho$ Space Charge Density
$\sigma$ Electric Conductivity
$\sigma_\mathrm{Wall}$ Wall Energy Density
$\tau_1$, $tau_2$ Time Constants
$\tau_\mathrm{ef}$ Relaxation Time of the Electric Field
$\tau_\mathrm{pol}$ Relaxation Time of the Polarization


next up previous contents
Next: List of Figures Up: diss Previous: List of Abbreviations   Contents
Klaus Dragosits
2001-02-27