Hex_Lead_Hamiltonians Class Reference

A class to create the Hamiltonian of one unit cell in a translational invariant lead made of hexagonal lattice structure, including graphene and silicene. More...

Public Member Functions
function	Graphene_Bilayer_Lead_Hamiltonians (lead_param, M, End_Type)
	Creates Hamiltonians H_0 and H_1 of bilayer graphene ribbon with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites. More...
function	Graphene_Bilayer_Lead_Hamiltonians2 (lead_param, M, End_Type, varargin)
	tranverse coupling: warping checked More...
function	Graphene_Bilayer_Lead_Hamiltonians3 (lead_param, M, End_Type)
	Creates Hamiltonians H_0 and H_1 of bilayer graphene ribbon with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites. More...
function	Graphene_Lead_Hamiltonians (lead_param, M, End_Type)
	Creates Hamiltonians H_0 and H_1 of silicene ribbon with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites. More...
function	Silicene_Lead_Hamiltonians (lead_param, M, End_Type)
	Creates Hamiltonians H_0 and H_1 of silicene ribbon with zigzag edge as well as the structure conatining the coordinates of the atomic sites. More...

Protected Member Functions
function	Armchair_End (epsilon, vargamma, M)
	Creates Hamiltonians H_0 and H_1 of silicene ribbon with zigzag edge as well as the structure conatining the coordinates of the atomic sites. More...
function	Zigzag_End (epsilon, vargamma, M)
	Creates Hamiltonians H_0 and H_1 of silicene ribbon with armchair edge as well as the structure conatining the coordinates of the atomic sites. More...

Detailed Description

A class to create the Hamiltonian of one unit cell in a translational invariant lead made of hexagonal lattice structure, including graphene and silicene.

Definition at line 24 of file Hex_Lead_Hamiltonians.m.

Member Function Documentation

Armchair_End()

function Hex_Lead_Hamiltonians::Armchair_End ( epsilon  , vargamma  , M    )

protected

Creates Hamiltonians H_0 and H_1 of silicene ribbon with zigzag edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

epsilon	The onsite potential.
vargamma	The hopping amplitude.
M	Number of sites in the cross section of the lead.
q	The transverse momentum quantum number.

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

Graphene_Bilayer_Lead_Hamiltonians()

function Hex_Lead_Hamiltonians::Graphene_Bilayer_Lead_Hamiltonians	(	lead_param	,
		M	,
		End_Type
	)

Creates Hamiltonians H_0 and H_1 of bilayer graphene ribbon with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

lead_param	An instance of structure Lattice_Bilayer_Graphene (or its subclass) containing the physical parameters.
M	Number of sites in the cross section of the lead.
End_Type	The orientation of the lattice. Set 'A' for lattice with armchair orientation (meaning zigzag edges) or 'Z' for zizgaz orientation (meaning arm-chair edges)

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

Graphene_Bilayer_Lead_Hamiltonians2()

function Hex_Lead_Hamiltonians::Graphene_Bilayer_Lead_Hamiltonians2	(	lead_param	,
		M	,
		End_Type	,
		varargin
	)

tranverse coupling: warping checked

Creates Hamiltonians H_0 and H_1 of bilayer graphene ribbon type 2 with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

lead_param	An instance of structure Lattice_Bilayer_Graphene (or its subclass) containing the physical parameters.
M	Number of sites in the cross section of the lead.
End_Type	The orientation of the lattice. Set 'A' for lattice with armchair orientation (meaning zigzag edges) or 'Z' for zizgaz orientation (meaning arm-chair edges)

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

Graphene_Bilayer_Lead_Hamiltonians3()

function Hex_Lead_Hamiltonians::Graphene_Bilayer_Lead_Hamiltonians3	(	lead_param	,
		M	,
		End_Type
	)

Creates Hamiltonians H_0 and H_1 of bilayer graphene ribbon with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

lead_param	An instance of structure Lattice_Bilayer_Graphene (or its subclass) containing the physical parameters.
M	Number of sites in the cross section of the lead.
End_Type	The orientation of the lattice. Set 'A' for lattice with armchair orientation (meaning zigzag edges) or 'Z' for zizgaz orientation (meaning arm-chair edges)
varargin	Optional parameters (https://www.mathworks.com/help/matlab/ref/varargin.html):
'q'	The transverse momentum. Set to empty (default) for computations without transverse momentums.

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

Graphene_Lead_Hamiltonians()

function Hex_Lead_Hamiltonians::Graphene_Lead_Hamiltonians	(	lead_param	,
		M	,
		End_Type
	)

Creates Hamiltonians H_0 and H_1 of silicene ribbon with zigzag/armchair edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

lead_param	An instance of structure Lattice_Graphene (or its subclass) containing the physical parameters.
M	Number of sites in the cross section of the lead.
End_Type	The orientation of the lattice. Set 'A' for lattice with armchair orientation (meaning zigzag edges) or 'Z' for zizgaz orientation (meaning arm-chair edges)

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

Silicene_Lead_Hamiltonians()

function Hex_Lead_Hamiltonians::Silicene_Lead_Hamiltonians	(	lead_param	,
		M	,
		End_Type
	)

Creates Hamiltonians H_0 and H_1 of silicene ribbon with zigzag edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

lead_param	An instance of structure Lattice_Silicene (or its subclass) containing the physical parameters.
M	Number of sites in the cross section of the lead.
End_Type	The orientation of the lattice. Set 'A' for lattice with armchair orientation (meaning zigzag edges) or 'Z' for zizgaz orientation (meaning arm-chair edges)

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

Zigzag_End()

function Hex_Lead_Hamiltonians::Zigzag_End ( epsilon  , vargamma  , M    )

protected

Creates Hamiltonians H_0 and H_1 of silicene ribbon with armchair edge as well as the structure conatining the coordinates of the atomic sites.

Parameters

epsilon	The onsite potential.
vargamma	The hopping amplitude.
M	Number of sites in the cross section of the lead.
q	The transverse momentum quantum number.
varargin	Optional parameters (https://www.mathworks.com/help/matlab/ref/varargin.html):

Returns

[1] The Hamiltonian of one slab in the ribbon.

[2] The coupling between the slabs.

[3] The transverse coupling between the slabs for transverse calculations.

[4] A structure Coordinates containing the coordinates of the sites.

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The documentation for this class was generated from the following file:

• Hex_Lead_Hamiltonians.m