A rigorous version of quantization of transported charge in mnay-body systems.

Event Start:
2020-02-04T16:00:00
Event End:
2020-02-04T17:00:00
Event Information:

We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional groundstate sector. The index is fractional with the denominator given by p. In particular, this yields a new short proof of the quantization of the Hall conductance and of Lieb-Schulz-Mattis theorem.

Event Location:
Hennings 309
Speaker:
Wojciech de Roeck, Katholieke Universiteit Leuven, Belgium
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Add to Calendar Event Start: 2020-02-04T16:00:00 Event End: 2020-02-04T17:00:00 A rigorous version of quantization of transported charge in mnay-body systems. Event Information: We propose a many-body index that extends Fredholm index theory to many-body systems. The index is defined for any charge-conserving system with a topologically ordered p-dimensional groundstate sector. The index is fractional with the denominator given by p. In particular, this yields a new short proof of the quantization of the Hall conductance and of Lieb-Schulz-Mattis theorem. Event Location: Hennings 309

Source URL: https://phas.ubc.ca/rigorous-version-quantization-transported-charge-mnay-body-systems