Increased zeta to avoid negative DoS

simulate_bilayer_spinorbitactive.m

@@ -2,17 +2,17 @@
 % interface and a Rashba-Dresselhaus spin-orbit coupling.
 %
 % Written by Jabir Ali Ouassou <[email protected]>
-% Created 2015-05-06
-% Updated 2015-05-07
+% Created 2015-05-20
+% Updated 2015-05-20
 
 function simulate_bilayer_spinorbitactive(interface_polarization, interface_phase, interface_angle, spinorbit_strength, spinorbit_angle)
     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     %                 DEFINE PARAMETERS FOR THE SIMULATION
     %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
     % Vectors of positions and energies that will be used in the simulation
-    positions     = linspace(0.0, 1.0, 100);
-    energies      = linspace(0.0, 2.0,  10);
+    positions     = linspace(0.0, 1.0, 150);
+    energies      = linspace(0.0, 2.0,  50);
 
     % Filename where results will be stored
     output = 'simulate_bilayer_spinorbitactive.dat';
@@ -28,13 +28,14 @@ function simulate_bilayer_spinorbitactive(interface_polarization, interface_phas
     s = Superconductor([0], energies, 1, 0.2);
 
     % Create a normal metal connected to the superconductors above
-    m = Ferromagnet(positions, energies, 1, [0,0,0], SpinVector.RashbaDresselhaus(spinorbit_strength, spinorbit_angle));
+    m = Ferromagnet(positions, energies, 1/0.5^2, [0,0,0], SpinVector.RashbaDresselhaus(spinorbit_strength, spinorbit_angle));
     m.spinactive         = 1;
-    m.interface_left     = 3;
+    m.interface_left     = 5;
     m.magnetization_left = [cos(interface_angle),sin(interface_angle),0];
     m.polarization_left  = interface_polarization;
     m.phaseshift_left    = interface_phase;
     m.update_boundary_left(s);
+    m.init_metal;
 
     % This enables or disables various debugging options
     m.delay = 0;

simulate_josephson_spinorbitactive.m

@@ -0,0 +1,72 @@
+% This script simulates the proximity effect in a normal metal connected
+% to two superconductors with a constant phase difference between them.
+% It is assumed that the interfaces are spin-active, and the normal metal
+% has a Rashba-Dresselhaus coupling in the xy-plane.
+%
+% Written by Jabir Ali Ouassou <[email protected]>
+% Created 2015-05-22
+% Updated 2015-05-22
+
+function simulate_josephson_spinorbitactive(phase_difference, interface_polarization, interface_phase, interface_angle_left, interface_angle_right, spinorbit_strength, spinorbit_angle)
+    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    %                 DEFINE PARAMETERS FOR THE SIMULATION
+    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+    % Vectors of positions and energies that will be used in the simulation
+    positions     = linspace(0.0, 1.0, 100);
+    energies      = linspace(0.0, 2.0,  50);
+
+    % Filename where results will be stored
+    output = 'simulate_josephson_spinorbitactive.dat';
+
+    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    %                   PREPARATIONS FOR THE SIMULATION
+    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+    % Make sure that all required classes and methods are in the current path
+    initialize;
+
+    % Create two superconductors with 'phase_difference' between them
+    s1 = Superconductor([0], energies, 1, 0.2);
+    s1.complex = true;
+    s1.phase_set(-phase_difference/2);
+
+    s2 = Superconductor([0], energies, 1, 0.2);
+    s2.complex = true;
+    s2.phase_set(+phase_difference/2);
+
+    % Create a normal metal connected to the superconductors above
+    m = Ferromagnet(positions, energies, 1, [0,0,0], SpinVector.RashbaDresselhaus(spinorbit_strength, spinorbit_angle));
+    m.spinactive          = 1;
+    m.interface_left      = 5;
+    m.interface_right     = 5;
+    m.magnetization_left  = [cos(interface_angle_left),  sin(interface_angle_left),  0];
+    m.magnetization_right = [cos(interface_angle_right), sin(interface_angle_right), 0];
+    m.polarization_left   = interface_polarization;
+    m.polarization_right  = interface_polarization;
+    m.phaseshift_left     = interface_phase;
+    m.phaseshift_right    = interface_phase;
+    m.update_boundary_left(s1);
+    m.update_boundary_right(s2);
+
+    % This enables or disables various debugging options
+    m.delay = 0;
+    m.debug = 1;
+    m.plot  = 0;
+
+    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+    %                       PERFORM THE SIMULATION
+    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+    % Update the internal state of the metal
+    m.update;
+
+    % Plot the results
+    figure;
+    m.plot_dos_surf;
+    figure;
+    m.plot_dos_center;
+
+    % Save the results of the simulation
+    save(output);
+end