Magnetic field

• 1D: magnetic field not possible
• 2D: possible
  magnetic-field-direction must be perpendicular to simulation orientation.
  
  E.g. if
  
  !---------------------------------------!
  $simulation-dimension                   !
   dimension                = 2           !
   orientation              = 0 1 1       ! simulation in (y,z) plane
  $end_simulation-dimension               !
  !---------------------------------------!

 Then magnetic-field-direction must be
   magnetic-field-direction = 1 0 0
• 3D: possible
  magnetic-field-direction can have any direction. The vector B must be specified with respect to the xyz simulation system, i.e. you cannot specify the four-digit Miller-Bravais indices as in the case for wurtzite. It is with respect to the x, y and z coordinate axes that were specified under $domain-coordinates:
(If not specified, default values specified in database.in are taken.)

 x y z  :=  hkl-x-direction-zb, hkl-y-direction-zb, hkl-z-direction-zb
 or
   x y z  :=  hkil-x-direction,   hkil-y-direction,   hkil-z-direction

!--------------------------------------------------------------!
$magnetic-field                                       optional !
 magnetic-field-on                     character      required !
 magnetic-field-strength               double         required !
 magnetic-field-direction              integer_array  required !
                                                               !
 magnetic-field-sweep-active           character      optional ! (optional, only needed for magnetic field sweep)
 magnetic-field-sweep-step-size        double         optional ! (optional, only needed for magnetic field sweep)
 magnetic-field-sweep-number-of-steps  integer        optional ! (optional, only needed for magnetic field sweep)
$end_magnetic-field                                   optional !
!--------------------------------------------------------------!

Syntax

!--------------------------------------------------------------!
$magnetic-field                                                !
 magnetic-field-on                    = yes                    ! yes/no
 magnetic-field-strength              = 4.0d0                  ! [T] (T=Tesla)
 magnetic-field-direction             = 1 0 0                  !
                                                               !
 magnetic-field-sweep-active          = yes                    ! yes/no
 magnetic-field-sweep-step-size       = 0.5d0                  ! [T] (T=Tesla)
 magnetic-field-sweep-number-of-steps = 10                     !  number of magnetic field sweep steps
$end_magnetic-field                                            !
!--------------------------------------------------------------!
 

magnetic-field-strength refers to the magnetic flux density B which has the following SI unit: 1 T = 1 Vs / m²

Note that the SI unit for the magnetic field strength H is [A/m].

Magnetic field sweep

It is possible to sweep over the magnetic field strength, i.e. to vary the strength of the magnetic field stepwise. This is similar to electric field sweeps ($electric-field), voltage sweeps ($voltage-sweep) and doping concentration sweeps ($doping-function).
The output is labeled with _ind000.dat, _ind001.dat, _ind002.dat, ... where the index refers to the number of the magnetic field sweep step.

The output for the eigenvalues as a function of applied magnetic field can be found here:
   magnetic_ev2D_vb001_qc001_sg001_deg001_dir_Kx001_Ky001_Kz001.dat.
In this particular example, the heavy hole valence band edge energies ('vb001') that have been obtained with the two-dimensional ('2D') single-band ('sg') Schrödinger equation with Dirichlet ('dir') boundary conditions have been written out as a function of magnetic field.
The first column contains the strength of the magnetic field in units of [T].
The second column contains the 1^st  eigenvalue for the specified electric field in units of [eV],
the third      column contains the 2^nd eigenvalue for the specified electric field in units of [eV], ...