From 9c2f9dd164a4853df24dbb7b7c6ec41ec9bd4db5 Mon Sep 17 00:00:00 2001 From: Christoph Groth <christoph.groth@cea.fr> Date: Wed, 16 Oct 2013 16:27:55 +0200 Subject: [PATCH] add QHE example --- content/index.txt | 23 +++++++++++++++++++++++ content/qhe-edgestate.png | Bin 0 -> 35772 bytes content/qhe-plateaus.png | Bin 0 -> 11332 bytes 3 files changed, 23 insertions(+) create mode 100644 content/qhe-edgestate.png create mode 100644 content/qhe-plateaus.png diff --git a/content/index.txt b/content/index.txt index bcdd7b4..e3ba8ca 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 GIT binary patch literal 35772 zcmV*;Krz3GP)<h;3K|Lk000e1NJLTq00A5T007Vk0ssI2TFXhy00009a7bBm000XU z000XU0RWnu7ytkO2XskIMF-sq5DYCZ`aE>K001BWNkl<Zc-ri}d6ZpOb?5&%=MHbI zdNrveS(0s89%X|uU<gxi2B0B?nNCPn$d3+WGGQgq3Eh}q;y@>>Ls*@r=|Ha^AxSsC z08RLjwL&@}X_`0*2HRjW7|X`CENfO(spdD{;hf(e_w8Hf)~m8*TN0A|?y99#diCCY z@1A$Qcklh(-@Ui8)^b*kJMOq6j$_~VH~gzoN-1TGc@k$<iXhOS2LAHcm!?30+31C* z?TDf@|6OZstvzcCu9VVRr)kRBI@W!OTB{(?XZUi}DSXlEcT1AkG&N^pNxR+d-o1O( zS^JKk|NQ4ytJSHgsSV#TilX`X`R&`cKZ!HPvAN@p6RlP(ORSyccK>z3rl1Qw7zG1H z9$)wKl#WUz`0*d#9mfW+)-Eh8RIAlWrE+!_Jc^>Zxw)M?cb>JcxYcU4TCJ^Hw`T9S 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