diff --git a/content/index.txt b/content/index.txt index bcdd7b48ab4f903867fcf834ce5dd3b627a69499..e3ba8ca2c0fc6712e7dc08a1ba8fb7b5b8f9b0ff 100644 --- a/content/index.txt +++ b/content/index.txt @@ -70,6 +70,29 @@ wave function is peaked near the zigzag segments of the boundary, as `expected Taken from the Kwant `plotting tutorial <doc/1.0/tutorial/tutorial6.html>`_. +Quantum Hall effect +................... + +.. container:: rightside + + .. image:: qhe-edgestate.png + +.. container:: leftside + + .. image:: qhe-plateaus.png + +One of the most common applications of Kwant is to calculate the conductance of +a nonoelectronic system. The plot on the left shows the conductance through a +2-d electron gas as a function of magnetic flux. The quantization of +conductance that is visible (plateaus) is the hallmark of the quantum Hall +effect. The third plateau around 1 / Φ = 40 does not develop due to a +constriction in the system that leads to backscattering. The situation at this +value of magnetic field is shown on the right. + +Taken from example 6 of the `Kwant paper +<http://downloads.kwant-project.org/doc/kwant-paper.pdf>`_. + + 3-d system: Majorana states ........................... diff --git a/content/qhe-edgestate.png b/content/qhe-edgestate.png new file mode 100644 index 0000000000000000000000000000000000000000..c79ee18ff5326a59bd996a477c5abe2710b244de Binary files /dev/null and b/content/qhe-edgestate.png differ diff --git a/content/qhe-plateaus.png b/content/qhe-plateaus.png new file mode 100644 index 0000000000000000000000000000000000000000..8767b60884e6027c4776e896cda750a368880a3f Binary files /dev/null and b/content/qhe-plateaus.png differ