CreateLeadHamiltonians

  Copyright (C) 2016 Peter Rakyta, Ph.D.

  This program is free software: you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation, either version 3 of the License, or
  (at your option) any later version.

  This program is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with this program.  If not, see http://www.gnu.org/licenses/.

Description

Class to create and store Hamiltonian of the translational invariant leads.

Available

EQuUs v4.8 or later

Class references

Syntax

interface = CreateLeadHamiltonians(Opt, param, varargin)

Attributes (protected)

• param

  An instance of structure param.

• Lead_Orientation

  The orientation of the lead. Set +1 is the "incoming" direction of the propagating states is defined in the +x or +y direction, and "-1" otherwise.

• Hanyadik_Lead

  The id number of the current lead.

• End_Type

  The type of the end of the ribbon in case of hexagonal lattice ('A' for armchair or 'Z' for zigzag type end)

• M

  The number of the sites in the cross section.

• params

  An instance of the structure lead_param.

• q

  The tranverse momentum quantum number for transverse computations.

• kulso_szabfokok

  List of sites in the unit cell that should be kept after decimation.

• coordinates

  An instance of the structure coordinates.

• H0

  The Hamiltonian of a unit cell.

• H1

  The coupling Hamiltonian between the unit cells.

• H1adj

  The coupling Hamiltonian between the unit cells in the opposite direction as H1. (For complex energies they differ from each other.)

• H00

  Obsolete

• H1_transverse

  The transverse coupling between the slabs for transverse calculations.

• S0

  The overlap integrals of a unit cell.

• S1

  The overlap integrals between the unit cells.

• S1_transverse

  The overlap integrals between the slabs for transverse calculations.

• fazis_mtx_H0

  The matrix of the Peierls phases in the unit cell.

• fazis_mtx_H1

  The matrix of the Peierls phases in the coupling matrix between the unit cells.

• fazis_mtx_H1t

  The matrix of the Peierls phases in the transverse coupling matrix between the unit cells.

• HamiltoniansCreated

  A logical value. True if the Hamiltonians were created, false otherwise.

• OverlapApplied

  A logical value. True if the overlap integrals were applied, false otherwise.

• MagneticFieldApplied

  A logical value. True if magnetic field was applied in the Hamiltonians, false otherwise.

• GaugeTransformationApplied

  A logical value. True if a gauge transformation was incorporated into the Hamiltonians or false otherwise.

• varargin

  list of optional parameters (see here for details).

Methods (public)

• ApplyOverlapMatrices
• CreateHamiltonians
• Transform2BdG
• CalcSpektrum
• saveLeads
• ShiftCoordinates
• ShiftLead
• AddPotential
• isSuperconducting
• CreateClone
• Reset
• Write
• Read
• Clear

Methods (protected)

• setM
• Initialize

Methods (private)

• InputParsing

CreateLeadHamiltonians::ApplyOverlapMatrices

Description

Applies the overlap matrices to the Hamiltonians: K = H-ES

Syntax

object.ApplyOverlapMatrices( E )

CreateLeadHamiltonians::CreateHamiltonians

Description

Creates the Hamiltonians H_0 and H_1 of the lead. The created Hamiltonians are stored by within the object.

Syntax

object.CreateHamiltonians( varargin )

CreateLeadHamiltonians::Transform2BdG

Description

Transforms the Hamiltonians and the overlap matrices into the BdG model.

Syntax

object.Transform2BdG()

CreateLeadHamiltonians::CreateHamiltonians

Description

Creates the Hamiltonians H_0 and H_1 of the lead. The created Hamiltonians are stored by within the object.

Syntax

object.CreateHamiltonians( varargin )

CreateLeadHamiltonians::CalcSpektrum

Description

Calculates the band structure of the lead.

Syntax

spectrum = object.CalcSpektrum( varargin )

CreateLeadHamiltonians::saveLeads

Description

Save Lead Hamiltonians into a file 'Hamiltoni_Lead_' + num2str(Hanyadik_Lead) + '.mat'.

Syntax

object.saveLeads()

CreateLeadHamiltonians::ShiftCoordinates

Description

Shifts the coordinates of the sites by an integer multiple of the lattice vector.

Syntax

object.ShiftCoordinates( shift )

CreateLeadHamiltonians::ShiftLead

Description

Shifts the on-site energies in the leads by a given energy.

Syntax

object.ShiftLead( E )

CreateLeadHamiltonians::AddPotential

Description

Adds on-site potential to the Hamiltonian H0.

Syntax

object.AddPotential( V )

CreateLeadHamiltonians::isSuperconducting

Description

Test, whether the lead is in the superconducting phase or not.

Syntax

ret = object.isSuperconducting()

CreateLeadHamiltonians::CreateClone

Description

Creates a clone of the current object.

Syntax

Surface_tmp = object.CreateClone( varargin )

CreateLeadHamiltonians::Reset

Description

Resets all attributes in the object.

Syntax

object.Reset()

CreateLeadHamiltonians::Write

Description

Sets the value of an attribute in the object.

Syntax

object.Write(MemberName, input)

CreateLeadHamiltonians::Read

Description

Query for the value of an attribute in the object.

Syntax

ret = object.Read(MemberName)

CreateLeadHamiltonians::Clear

Description

Clears the value of an attribute in the object.

Syntax

object.Clear(MemberName)

CreateLeadHamiltonians::setM

Description

Updates the number of sites in the cross section.

Syntax

object.setM()

CreateLeadHamiltonians::Initialize

Description

Initializes object properties

Syntax

object.Initialize()

CreateLeadHamiltonians::InputParsing

Description

Parses the optional parameters for the class constructor.

Syntax

object.InputParsing(varargin)