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Two-dimensional Bloch electrons in perpendicular magnetic fields: an exact calculation of the Hofstadter butterfly spectrum

Autor: Janecek, S., Aichinger, M., Hernandez, E. R.

Publikováno v: Phys. Rev. B 87, 235429 (2013)

The problem of two-dimensional, independent electrons subject to a periodic potential and a uniform perpendicular magnetic field unveils surprisingly rich physics, as epitomized by the fractal energy spectrum known as Hofstadter's Butterfly. It has h

Externí odkaz: http://arxiv.org/abs/1303.2020

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Billiards in magnetic fields: A molecular dynamics approach

Autor: Aichinger, M., Janecek, S., Rasanen, E.

Publikováno v: Phys. Rev. E 81, 016703 (2010)

We present a computational scheme based on classical molecular dynamics to study chaotic billiards in static external magnetic fields. The method allows to treat arbitrary geometries and several interacting particles. We test the scheme for rectangul

Externí odkaz: http://arxiv.org/abs/0912.4336

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Any order imaginary time propagation method for solving the Schrodinger equation

Autor: Chin, Siu A., Janecek, S., Krotscheck, E.

The eigenvalue-function pair of the 3D Schr\"odinger equation can be efficiently computed by use of high order, imaginary time propagators. Due to the diffusion character of the kinetic energy operator in imaginary time, algorithms developed so far a

Externí odkaz: http://arxiv.org/abs/0809.3739

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