2018/04/30 by Ioannis Petrides, Hannah M. Price, Oded Zilberberg · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.mes-hall #cond-mat.quant-gas #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.98.125431
published as Phys. Rev. B 98, 125431 (2018) · 12 pages + 13 pages of supporting material, 2 figures, published version
arxiv created 2018/10/23 · arxiv updated 2018/10/25
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 motions 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 3rd Chern number. Alongside this novel six-dimensional response, we rigorously describe the lower even-dimensional Chern-like responses that can occur due to nonvanishing 1st and 2nd Chern numbers in sub-spaces 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.