Six-dimensional quantum Hall effect and three-dimensional topological pumps
Authors: Petrides I., Price H., Zilberberg O.
Autors Affiliation: [Petrides, Ioannis; Zilberberg, Oded] Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland.
[Price, Hannah M.] Univ Birmingham, Sch Phys & Astron, Birmingham B15 2TT, W Midlands, England and INO CNR BEC Ctr, I-38123 Povo, Italy and Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.
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.
Journal/Review: PHYSICAL REVIEW B
Volume: 98 (12) Pages from: 125431-1 to: 125431-11
More Information: MAGNETIC BLOCH BANDS; BERRY-PHASE; SEMICLASSICAL DYNAMICS; CONDUCTION ELECTRONS; HOFSTADTER SPECTRUMKeyWords: magnetic bloch bands; Berry-phase; semiclassical dynamics; conduction electrons; hofstadter spectrumDOI: 10.1103/PhysRevB.98.125431Citations: 6data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2019-08-18References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here