Sven Bachmann

Professor

Research Classification

Research Interests

Mathematical Analysis
quantum phenomena
Mathematical physics
Quantum statistical physics
Topological states of matter

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Recruitment

Master's students
Doctoral students
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Any time / year round
I am open to hosting Visiting International Research Students (non-degree, up to 12 months).

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ADVICE AND INSIGHTS FROM UBC FACULTY ON REACHING OUT TO SUPERVISORS

These videos contain some general advice from faculty across UBC on finding and reaching out to a potential thesis supervisor.

Graduate Student Supervision

Master's Student Supervision

Theses completed in 2010 or later are listed below. Please note that there is a 6-12 month delay to add the latest theses.

The quantum hall effect and bulk-edge correspondence on lattice systems (2022)

In this thesis, we investigate the integer quantum Hall effect (IQHE). Discovered in 1980 by Nobel laureate Klaus von Klitzing, the IQHE is a phenomenon in which the conductivity of a 2-dimensional electron gas is quantized in exact integer multiples of q²/h when subjected to a strong magnetic field at very low temperatures.In particular, we provide a rigorous theoretical description of a phenomenon known as bulk-edge correspondence, wherein the value of the Hall conductivity is unaffected by whether or not one considers a system with an edge or a bulk (i.e. edgeless) system. This is accomplished in two settings. First, we ignore interactions between electrons, and then proceed to the more challenging interacting setting.

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