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IPython notebook support/2014-12-23-kwant.ipynb

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Kernel: Unknown Kernel

Quantum transport simulations made easy

http://kwant-project.org/

import kwant
lat = kwant.lattice.honeycomb() a, b = lat.sublattices def make_system(r=8, t=-1, tp=-0.1): def circle(pos): x, y = pos return x**2 + y**2 < r**2 sys = kwant.Builder() sys[lat.shape(circle, (0, 0))] = 0 sys[lat.neighbors()] = t sys.eradicate_dangling() if tp: sys[lat.neighbors(2)] = tp return sys
kwant.plot(make_system())
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e3t5QU1NDz549sXXrVikdEcHPzw/Nzc24dOkSZs+e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lwgPp9PCgoKlJiYSCEhIXTixAkZLpeTn5KSQsrKysTj8einn36iZ8+e0erVq2W4YWFhtHPn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\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Image in a Jupyter notebook