Parameter definitions for "sommerfeld"
It's probably useful to look first at the special features page. You may also want to look at one of the general help files, Sliders, or
Graphs.
Inputs
- SLIDERS
- E_x: The x-component of the electric field in units of 10^6 V/m.
- E_y: The y-component of the electric field in units of 10^6 V/m.
- B_z: The magnetic field, in the z-direction, in tesla.
- tau_i: An inelastic scattering time in picoseconds. The inelastic scattering rate, in absence of suppression by the exclusion principle, is equal to (1/tau_i)x(E/E_f) for (E>E_f) and equal to (1/tau_i) for E<E_f. The typical energy loss per collision is delta_E, which is set from the configure menu. (The inelastic collisions also allow a small energy gain near equilibrium.) For full details, see Simulations for Solid State Physics. (Restricted to positive values.)
- tau_e: An elastic scattering time (in absence of suppression by the exclusion principle). For full details, see Simulations for Solid State Physics.(Restricted to positive values.)
- E_fermi: The Fermi energy in eV.(Restricted to positive values.)
- speed: Adjusts the animation rate of the display. (Restricted to positive values.)
- TOGGLES
- run/stop: starts and stops the animation. The key equivalent is the spacebar.
- BUTTONS
- initialize: restores the animation and the graph to the initial conditions. The key equivalent is the i-key.
- copy graph: See miscellaneous help file.
- configure:
- deltaE: Sets the scale of the energy loss, in eV, in the inelastic collisions. (Restricted to positive values.)
- box size: Sets the linear dimension of the square box within which the electrons are confined; hence the density of allowed k-values in reciprocal space. (Restricted to positive values.)
- graph update increments: The number of calculational cycles between updates of the graph. (Restricted to positive integer.)
- revert: updates the listed configure parameters to the current values (which may have been changed by a preset command).
- close: closes the configure window.
- help: Opens the help system which you have already found!
- quit: Terminates "sommerfeld".
Outputs
- DISPLAYS
- left side: 4x4 (1/A^2) area of reciprocal space showing the time evolution of the wave vectors of the electrons (in units of 1/A = inverse angstroms). The red circle is the Fermi surface. The red dot is the origin of reciprocal space and the green dot the average k-value of the electrons. The coordinates of the cursor position are given below the display.
- right side: Graph of the x- and y-components (in blue and green) of the average wave vector, in units of (1/A = inverse angstroms), of the electrons. The red curve is the average energy of the electrons less the initial average, in units of the Fermi energy.
- READOUTS
- time: elapsed simulation time, in picoseconds, since the last initialization of the program.