Six-dimensional quantum Hall effect and three-dimensional topological pumps
Research output: Contribution to journal › Article › peer-review
Authors
Colleges, School and Institutes
External organisations
- ETH Zurich
- CNR-INFM BEC Center
Abstract
Modern technological advances allow for the study of systems with additional synthetic dimensions. Using such approaches, higher-dimensional physics that was previously deemed to be of purely theoretical interest has now become an active field of research. In this work, we derive from first principles using a semiclassical equation-of-motion approach the bulk response of a six-dimensional Chern insulator. We find that in such a system a quantized bulk response appears with a quantization originating from a six-dimensional topological index: the third Chern number. Alongside this unique six-dimensional response, we rigorously describe the lower even-dimensional Chern-type responses that can occur due to nonvanishing first and second Chern numbers in subspaces of the six-dimensional space. Last, we propose how to realize such a bulk response using three-dimensional topological charge pumps in cold atomic systems.
Details
Original language | English |
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Article number | 125431 |
Number of pages | 12 |
Journal | Physical Review B |
Volume | 98 |
Issue number | 12 |
Publication status | Published - 28 Sep 2018 |