Class containing physical parameters of the lattice of bilayer transitional dichalcogenides including spin-orbit coupling according to PRB 92, 205108 (2015). More...

Inheritance diagram for Lattice_TMDC_Bilayer_SOC:

[legend]

Public Member Functions
function	Calc_Hopping (r_vec)
	Calculates the hopping amplitude between sites separated by vector r_vec, according to EQ (15) in PRB 92 205108. More...

function	Calc_t_2__i_i ()
	Calculates the hopping amplitudes t_2__i_i according to EQ (A1) in PRB 92 205108. More...

function	Calc_t_2__i_j ()
	Calculates the hopping amplitudes t_2__i_j according to EQ (A1) in PRB 92 205108. More...

function	Calc_t_3__i_j ()
	Calculates the hopping amplitudes t_3__i_j according to EQ (A1) in PRB 92 205108. More...

function	Calc_t_4__i_j ()
	Calculates the hopping amplitudes t_4__i_j according to EQ (A2) in PRB 92 205108. More...

function	Calc_V_pp_pi (r)
	Calculates the strength of the $\pi$ bond between the p orbitals according to EQ (17) in PRB 92 205108. More...

function	Calc_V_pp_sigma (r)
	Calculates the strength of the $\sigma$ bond between the p orbitals according to EQ (17) in PRB 92 205108. More...

function	Lattice_TMDC_Bilayer_SOC ()
	Constructor of the class. More...

Public Attributes
Property	a
	Lattice constant of the unit cell in units of $\AA$ according to table I in PRB 92, 205108 (2015). More...

Property	c
	parameter describing the distance between two succesive layers in units of $\AA$ according to table I in PRB 92, 205108 (2015). More...

Property	d_XX
	The width of one layer in units of $\AA$ according to table I in PRB 92, 205108 (2015). More...

Property	epsilon1
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon10
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon11
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon2
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon3
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon4
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon5
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon6
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon7
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon8
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	epsilon9
	On-site energy according to table III in PRB 92, 205108 (2015). More...

Property	eta_pi
	parameter used to calculate the strength of the $\pi$ bond according to EQ (17) in PRB 92 205108. More...

Property	eta_sigma
	parameter used to calculate the strength of the $\sigma$ bond according to EQ (17) in PRB 92 205108. More...

Property	lambda_SO_M
	spin-orbit coupling strength on atoms M More...

Property	lambda_SO_X
	spin-orbit coupling strength on atoms X More...

Property	nu_pi
	parameter used to calculate the strength of the $\pi$ bond according to EQ (17) in PRB 92 205108. More...

Property	nu_sigma
	parameter used to calculate the strength of the $\sigma$ bond according to EQ (17) in PRB 92 205108. More...

Property	R_pi
	parameter used to calculate the strength of the $\pi$ bond according to EQ (17) in PRB 92 205108. More...

Property	R_sigma
	parameter used to calculate the strength of the $\sigma$ bond according to EQ (17) in PRB 92 205108. More...

Property	t_1__10_10
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__10_11
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__11_11
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__1_1
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__1_2
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__2_2
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__3_3
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__3_4
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__3_5
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__4_4
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__4_5
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__5_5
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__6_6
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__6_7
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__6_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__7_7
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__7_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__8_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__9_10
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__9_11
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_1__9_9
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__10_7
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__11_6
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__11_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__3_2
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__4_1
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__5_2
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__9_6
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_5__9_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_6__11_6
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_6__11_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_6__9_6
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Property	t_6__9_8
	Hopping amplitude according to table III in PRB 92, 205108 (2015). More...

Detailed Description

Class containing physical parameters of the lattice of bilayer transitional dichalcogenides including spin-orbit coupling according to PRB 92, 205108 (2015).

Available

EQuUs v5.0 or later

Definition at line 26 of file Lattice_TMDC_Bilayer_SOC.m.

Constructor & Destructor Documentation

◆ Lattice_TMDC_Bilayer_SOC()

function Lattice_TMDC_Bilayer_SOC::Lattice_TMDC_Bilayer_SOC ( )

Constructor of the class.

Returns: An instance of the class

Member Function Documentation

◆ Calc_Hopping()

function Lattice_TMDC_Bilayer_SOC::Calc_Hopping ( r_vec )

Calculates the hopping amplitude between sites separated by vector r_vec, according to EQ (15) in PRB 92 205108.

Parameters

r_vec Three-dimensional vector connecting the pair of sites.

Returns: Returns with the structure containing the hopping amplitudes.

◆ Calc_t_2__i_i()

function Lattice_TMDC_Monolayer::Calc_t_2__i_i ( )

inherited

Calculates the hopping amplitudes t_2__i_i according to EQ (A1) in PRB 92 205108.

Returns: Return a structure containing the calculates physical parameters.

◆ Calc_t_2__i_j()

function Lattice_TMDC_Monolayer::Calc_t_2__i_j ( )

inherited

Calculates the hopping amplitudes t_2__i_j according to EQ (A1) in PRB 92 205108.

Returns: Return a structure containing the calculates physical parameters.

◆ Calc_t_3__i_j()

function Lattice_TMDC_Monolayer::Calc_t_3__i_j ( )

inherited

Calculates the hopping amplitudes t_3__i_j according to EQ (A1) in PRB 92 205108.

Returns: Return a structure containing the calculates physical parameters.

◆ Calc_t_4__i_j()

function Lattice_TMDC_Monolayer::Calc_t_4__i_j ( )

inherited

Calculates the hopping amplitudes t_4__i_j according to EQ (A2) in PRB 92 205108.

Returns: Return a structure containing the calculates physical parameters.

◆ Calc_V_pp_pi()

function Lattice_TMDC_Bilayer_SOC::Calc_V_pp_pi ( r )

Calculates the strength of the $\pi$ bond between the p orbitals according to EQ (17) in PRB 92 205108.

Parameters

r	The radial distance in units of $\AA$

Returns: Returns with the strength of the $\sigma$ bond between the p orbitals.

◆ Calc_V_pp_sigma()

function Lattice_TMDC_Bilayer_SOC::Calc_V_pp_sigma ( r )

Calculates the strength of the $\sigma$ bond between the p orbitals according to EQ (17) in PRB 92 205108.

Parameters

r	The radial distance in units of $\AA$

Returns: Returns with the strength of the $\sigma$ bond between the p orbitals.

Member Data Documentation

◆ a

Property Lattice_TMDC_Monolayer::a

inherited

Lattice constant of the unit cell in units of $\AA$ according to table I in PRB 92, 205108 (2015).

Definition at line 32 of file Lattice_TMDC_Monolayer.m.

◆ c

Property Lattice_TMDC_Bilayer_SOC::c

parameter describing the distance between two succesive layers in units of $\AA$ according to table I in PRB 92, 205108 (2015).

Definition at line 33 of file Lattice_TMDC_Bilayer_SOC.m.

◆ d_XX

Property Lattice_TMDC_Bilayer_SOC::d_XX

The width of one layer in units of $\AA$ according to table I in PRB 92, 205108 (2015).

Definition at line 36 of file Lattice_TMDC_Bilayer_SOC.m.

◆ epsilon1

Property Lattice_TMDC_Monolayer::epsilon1

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 35 of file Lattice_TMDC_Monolayer.m.

◆ epsilon10

Property Lattice_TMDC_Monolayer::epsilon10

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 62 of file Lattice_TMDC_Monolayer.m.

◆ epsilon11

Property Lattice_TMDC_Monolayer::epsilon11

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 65 of file Lattice_TMDC_Monolayer.m.

◆ epsilon2

Property Lattice_TMDC_Monolayer::epsilon2

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 38 of file Lattice_TMDC_Monolayer.m.

◆ epsilon3

Property Lattice_TMDC_Monolayer::epsilon3

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 41 of file Lattice_TMDC_Monolayer.m.

◆ epsilon4

Property Lattice_TMDC_Monolayer::epsilon4

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 44 of file Lattice_TMDC_Monolayer.m.

◆ epsilon5

Property Lattice_TMDC_Monolayer::epsilon5

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 47 of file Lattice_TMDC_Monolayer.m.

◆ epsilon6

Property Lattice_TMDC_Monolayer::epsilon6

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 50 of file Lattice_TMDC_Monolayer.m.

◆ epsilon7

Property Lattice_TMDC_Monolayer::epsilon7

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 53 of file Lattice_TMDC_Monolayer.m.

◆ epsilon8

Property Lattice_TMDC_Monolayer::epsilon8

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 56 of file Lattice_TMDC_Monolayer.m.

◆ epsilon9

Property Lattice_TMDC_Monolayer::epsilon9

inherited

On-site energy according to table III in PRB 92, 205108 (2015).

Definition at line 59 of file Lattice_TMDC_Monolayer.m.

◆ eta_pi

Property Lattice_TMDC_Bilayer_SOC::eta_pi

parameter used to calculate the strength of the $\pi$ bond according to EQ (17) in PRB 92 205108.

Definition at line 54 of file Lattice_TMDC_Bilayer_SOC.m.

◆ eta_sigma

Property Lattice_TMDC_Bilayer_SOC::eta_sigma

parameter used to calculate the strength of the $\sigma$ bond according to EQ (17) in PRB 92 205108.

Definition at line 45 of file Lattice_TMDC_Bilayer_SOC.m.

◆ lambda_SO_M

Property Lattice_TMDC_Monolayer_SOC::lambda_SO_M

inherited

spin-orbit coupling strength on atoms M

Definition at line 33 of file Lattice_TMDC_Monolayer_SOC.m.

◆ lambda_SO_X

Property Lattice_TMDC_Monolayer_SOC::lambda_SO_X

inherited

spin-orbit coupling strength on atoms X

Definition at line 36 of file Lattice_TMDC_Monolayer_SOC.m.

◆ nu_pi

Property Lattice_TMDC_Bilayer_SOC::nu_pi

parameter used to calculate the strength of the $\pi$ bond according to EQ (17) in PRB 92 205108.

Definition at line 48 of file Lattice_TMDC_Bilayer_SOC.m.

◆ nu_sigma

Property Lattice_TMDC_Bilayer_SOC::nu_sigma

parameter used to calculate the strength of the $\sigma$ bond according to EQ (17) in PRB 92 205108.

Definition at line 39 of file Lattice_TMDC_Bilayer_SOC.m.

◆ R_pi

Property Lattice_TMDC_Bilayer_SOC::R_pi

parameter used to calculate the strength of the $\pi$ bond according to EQ (17) in PRB 92 205108.

Definition at line 51 of file Lattice_TMDC_Bilayer_SOC.m.

◆ R_sigma

Property Lattice_TMDC_Bilayer_SOC::R_sigma

parameter used to calculate the strength of the $\sigma$ bond according to EQ (17) in PRB 92 205108.

Definition at line 42 of file Lattice_TMDC_Bilayer_SOC.m.

◆ t_1__10_10

Property Lattice_TMDC_Monolayer::t_1__10_10

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 96 of file Lattice_TMDC_Monolayer.m.

◆ t_1__10_11

Property Lattice_TMDC_Monolayer::t_1__10_11

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 129 of file Lattice_TMDC_Monolayer.m.

◆ t_1__11_11

Property Lattice_TMDC_Monolayer::t_1__11_11

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 99 of file Lattice_TMDC_Monolayer.m.

◆ t_1__1_1

Property Lattice_TMDC_Monolayer::t_1__1_1

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 69 of file Lattice_TMDC_Monolayer.m.

◆ t_1__1_2

Property Lattice_TMDC_Monolayer::t_1__1_2

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 111 of file Lattice_TMDC_Monolayer.m.

◆ t_1__2_2

Property Lattice_TMDC_Monolayer::t_1__2_2

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 72 of file Lattice_TMDC_Monolayer.m.

◆ t_1__3_3

Property Lattice_TMDC_Monolayer::t_1__3_3

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 75 of file Lattice_TMDC_Monolayer.m.

◆ t_1__3_4

Property Lattice_TMDC_Monolayer::t_1__3_4

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 114 of file Lattice_TMDC_Monolayer.m.

◆ t_1__3_5

Property Lattice_TMDC_Monolayer::t_1__3_5

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 102 of file Lattice_TMDC_Monolayer.m.

◆ t_1__4_4

Property Lattice_TMDC_Monolayer::t_1__4_4

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 78 of file Lattice_TMDC_Monolayer.m.

◆ t_1__4_5

Property Lattice_TMDC_Monolayer::t_1__4_5

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 117 of file Lattice_TMDC_Monolayer.m.

◆ t_1__5_5

Property Lattice_TMDC_Monolayer::t_1__5_5

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 81 of file Lattice_TMDC_Monolayer.m.

◆ t_1__6_6

Property Lattice_TMDC_Monolayer::t_1__6_6

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 84 of file Lattice_TMDC_Monolayer.m.

◆ t_1__6_7

Property Lattice_TMDC_Monolayer::t_1__6_7

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 120 of file Lattice_TMDC_Monolayer.m.

◆ t_1__6_8

Property Lattice_TMDC_Monolayer::t_1__6_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 105 of file Lattice_TMDC_Monolayer.m.

◆ t_1__7_7

Property Lattice_TMDC_Monolayer::t_1__7_7

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 87 of file Lattice_TMDC_Monolayer.m.

◆ t_1__7_8

Property Lattice_TMDC_Monolayer::t_1__7_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 123 of file Lattice_TMDC_Monolayer.m.

◆ t_1__8_8

Property Lattice_TMDC_Monolayer::t_1__8_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 90 of file Lattice_TMDC_Monolayer.m.

◆ t_1__9_10

Property Lattice_TMDC_Monolayer::t_1__9_10

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 126 of file Lattice_TMDC_Monolayer.m.

◆ t_1__9_11

Property Lattice_TMDC_Monolayer::t_1__9_11

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 108 of file Lattice_TMDC_Monolayer.m.

◆ t_1__9_9

Property Lattice_TMDC_Monolayer::t_1__9_9

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 93 of file Lattice_TMDC_Monolayer.m.

◆ t_5__10_7

Property Lattice_TMDC_Monolayer::t_5__10_7

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 148 of file Lattice_TMDC_Monolayer.m.

◆ t_5__11_6

Property Lattice_TMDC_Monolayer::t_5__11_6

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 145 of file Lattice_TMDC_Monolayer.m.

◆ t_5__11_8

Property Lattice_TMDC_Monolayer::t_5__11_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 154 of file Lattice_TMDC_Monolayer.m.

◆ t_5__3_2

Property Lattice_TMDC_Monolayer::t_5__3_2

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 136 of file Lattice_TMDC_Monolayer.m.

◆ t_5__4_1

Property Lattice_TMDC_Monolayer::t_5__4_1

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 133 of file Lattice_TMDC_Monolayer.m.

◆ t_5__5_2

Property Lattice_TMDC_Monolayer::t_5__5_2

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 139 of file Lattice_TMDC_Monolayer.m.

◆ t_5__9_6

Property Lattice_TMDC_Monolayer::t_5__9_6

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 142 of file Lattice_TMDC_Monolayer.m.

◆ t_5__9_8

Property Lattice_TMDC_Monolayer::t_5__9_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 151 of file Lattice_TMDC_Monolayer.m.

◆ t_6__11_6

Property Lattice_TMDC_Monolayer::t_6__11_6

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 161 of file Lattice_TMDC_Monolayer.m.

◆ t_6__11_8

Property Lattice_TMDC_Monolayer::t_6__11_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 167 of file Lattice_TMDC_Monolayer.m.

◆ t_6__9_6

Property Lattice_TMDC_Monolayer::t_6__9_6

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 158 of file Lattice_TMDC_Monolayer.m.

◆ t_6__9_8

Property Lattice_TMDC_Monolayer::t_6__9_8

inherited

Hopping amplitude according to table III in PRB 92, 205108 (2015).

Definition at line 164 of file Lattice_TMDC_Monolayer.m.

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

Lattice_TMDC_Bilayer_SOC.m

Public Member Functions

Public Attributes

Detailed Description

Available

Constructor & Destructor Documentation

◆ Lattice_TMDC_Bilayer_SOC()

Member Function Documentation

◆ Calc_Hopping()

◆ Calc_t_2__i_i()

◆ Calc_t_2__i_j()

◆ Calc_t_3__i_j()

◆ Calc_t_4__i_j()

◆ Calc_V_pp_pi()

◆ Calc_V_pp_sigma()

Member Data Documentation

◆ a

◆ c

◆ d_XX

◆ epsilon1

◆ epsilon10

◆ epsilon11

◆ epsilon2

◆ epsilon3

◆ epsilon4

◆ epsilon5

◆ epsilon6

◆ epsilon7

◆ epsilon8

◆ epsilon9

◆ eta_pi

◆ eta_sigma

◆ lambda_SO_M

◆ lambda_SO_X

◆ nu_pi

◆ nu_sigma

◆ R_pi

◆ R_sigma

◆ t_1__10_10

◆ t_1__10_11

◆ t_1__11_11

◆ t_1__1_1

◆ t_1__1_2

◆ t_1__2_2

◆ t_1__3_3

◆ t_1__3_4

◆ t_1__3_5

◆ t_1__4_4

◆ t_1__4_5

◆ t_1__5_5

◆ t_1__6_6

◆ t_1__6_7

◆ t_1__6_8

◆ t_1__7_7

◆ t_1__7_8

◆ t_1__8_8

◆ t_1__9_10

◆ t_1__9_11

◆ t_1__9_9

◆ t_5__10_7

◆ t_5__11_6

◆ t_5__11_8

◆ t_5__3_2

◆ t_5__4_1

◆ t_5__5_2

◆ t_5__9_6

◆ t_5__9_8

◆ t_6__11_6

◆ t_6__11_8

◆ t_6__9_6

◆ t_6__9_8