Parameters for calculating eigenStates

Parameters here are for calculating the eigen states of a molecular or bulk system.

calculation.eigenStates.kSpaceGridNumber

key word

:

calculation.eigenStates.kSpaceGridNumber

possible values

:

3\(\times\)1 integer array

default value

:

no default value

description

:

the small k-space grid number in each direction which,

together with kSpaceGridShift, are used to produce the

parameter kSpacePoints.

an example

:

calculation.eigenStates.kSpaceGridNumber = [10 10 10]

calculation.eigenStates.kSpaceGridShift

key word

:

calculation.eigenStates.kSpaceGridShift

possible values

:

3\(\times\)1 or 1\(\times\)3 array, [s\(_1\), s\(_2\), s\(_3\)], with each s\(_i\) a

double number between 0 and 1.

default value

:

[0 0 0]

description

:

k-space grid point shift. While all s\(_i\) are set to be 0,

the Gamma point is always among the k-space grid points

being generated; otherwise, the k-space grid points will

be shifted s\(_1\), s\(_2\), and s\(_3\) grid length along their

grid vector directions, respectively.

an example

:

calculation.eigenStates.kSpaceGridShift = [1/2 1/2 1/2]

calculation.eigenStates.kSpacePoints

key word

:

calculation.eigenStates.kSpacePoints

possible values

:

3\(\times\)n double array

default value

:

produced by parameter kSpaceGridNumber if it is given,

otherwise, [0 0 0] (i.e. gamma point only)

description

:

the fractional coordinates of n k-space points at which

the eigen states will be calculated.

an example

:

calculation.eigenStates.kSpacePoints = [0 0 0]

calculation.eigenStates.numberOfBands

key word

:

calculation.eigenStates.numberOfBands

possible values

:

1\(\times\)2 integer array [n1,n2] or an integer number n

default value

:

[1,1]

description

:

For a bulk system, the n1 eigen states bellow the fermi

energy and n2 eigen states above the fermi energy will

be calculated for each given k-point defined in

kSpacePoints.

For a molecular system, the n1 eigen states bellow

(including) the HOMO and n2 eigen states above

(including) the LUMO will be calculated.

This calculation is not applied for systems with probes.

An integer number n can used instead of [n n] for this

parameter.

an example

:

calculation.eigenStates.numberOfBands = [2, 0]

calculation.eigenStates.realSpace

key word

:

calculation.eigenStates.realSpace

possible values

:

true or false

default value

:

false

description

:

If true, real space wavefunctions of the eigen

states will be calculated in a region defined by the

parameters regionPosition and regionVectors.

an example

:

calculation.eigenStates.realSpace = true

calculation.eigenStates.regionPosition

key word

:

calculation.eigenStates.regionPosition

possible values

:

a 3\(\times\)1 double array

default value

:

[0;0;0]

description

:

When realSpace is true, this parameter and

regionVectors define a real space region in which

wavefunctions of the scattering states will be

calculated.

an example

:

calculation.eigenStates.regionPosition = [1,1,1]

calculation.eigenStates.regionVectors

key word

:

calculation.eigenStates.regionVectors

possible values

:

a 3\(\times\)3 double array

default value

:

the value of system.centralCellVectors which was used in

the Hamiltonian calculation

description

:

When realSpace is true, this parameter and

regionPosition define a real space region in which

wavefunctions of the scattering states will be

calculated.

an example

:

calculation.eigenStates.regionVectors = eye(3)*2

calculation.eigenStates.regionGridNumber

key word

:

calculation.eigenStates.regionGridNumber

possible values

:

3\(\times\)1 integer vector

default value

:

the value of calculation.realspacegrids.number which was

used in the Hamiltonian calculation

description

:

the small grid number in each direction of regionVectors.

It is used to define a set of real space point in

the region defined by regionPosition and regionVectors,

at which wavefunctions of the scattering states will be

calculated.

an example

:

calculation.eigenStates.regionGridNumber = [4 4 4]

calculation.eigenStates.plot

key word

:

calculation.eigenStates.plot

possible values

:

true or false

default value

:

false

description

:

If true, a plot will be given after the calculation.

an example

:

calculation.eigenStates.plot = true