a bit more on index.txt

content/index.txt

@@ -27,30 +27,23 @@ Kwant is provided to the physics community as an open source free software (we
 merely ask you to quote Kwant article in scientific publications where Kwant
 was used). Below a few research applications of Kwant are shown.
 
+Chaotic billiard
+----------------
 
-conductance of a Corbino disk in a quantum Hall regime
-------------------------------------------------------
-
-.. container:: leftside
-
-   .. image:: corbino.png
+This figure shows the local density of state of a quantum billiard with a stadium shape. 
+The entire code to perform this calculation (including making the figure) is reproduced below and is, as one can see, rather small.
 
-Transport properties of a Corbino disk across a quantum Hall transition. Left
-panel: winding number of the reflection matrix, which has to change from 0 to 1
-across the transition. Right panel: conductance across the transition, showing
-quantized conductance peaks.
 
-
-3D systems created in Kwant
+Example of a three dimensional created with Kwant
 ---------------------------
 
 .. container:: leftside
 
    .. image:: 3d_systems.png
 
-* A piece of bilayer graphene lattice.
-* A quantum wire (gray) attached to a superconducting electrode (blue) give rise to a Majorana bound states
-  which can be seen in the spectrum of the device (upper and lower right).
+In this example, one can see a quantum wire (gray) to which is attached a superconducting electrode (blue).
+This device has been built in order to give rise to a Majorana bound states close to the superconducting-normal interface.
+The latter can be seen in the spectrum of the device (REF).
 
 
 Flying qubit
@@ -66,3 +59,17 @@ GaAs/GaAlAs heterostrucutre. See Yamamoto et al, Nature Nanotechnology 7, 247 (2
 model for the confining potential seen by the electrons so that rather subtle aspects of the experiments could be reproduce. Such type of
 "numerical experiments" can not only be used to interpret the experimental data but also as an aid in designing the sample geometry or in the choice of
 materials. 
+
+
+
+conductance of a Corbino disk in a quantum Hall regime
+------------------------------------------------------
+
+.. container:: leftside
+
+   .. image:: corbino.png
+
+Transport properties of a Corbino disk across a quantum Hall transition. Left
+panel: winding number of the reflection matrix, which has to change from 0 to 1
+across the transition. Right panel: conductance across the transition, showing
+quantized conductance peaks.
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