Quantized Magnetization Density in Periodically Driven Systems

2016/10/31 by Frederik Nathan, Mark S. Rudner, Netanel H. Lindner +2 · 67 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Eigenvalues and eigenvectors #Fermion #Floquet theory #Interferometry #Magnetic anisotropy #Magnetic field #Magnetization #Mathematics #Orbital magnetization #Phase (matter) #Physics #Quantization (signal processing) #Quantum #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.quant-gas

paper · pdf · doi:10.1103/physrevlett.119.186801

published in Physical Review Letters 119(18), 186801 (American Physical Society) · 5 pages, 3 figures. Supplement: 7 pages, 1 figure

arxiv created 2017/10/25 · openalex publication_date 2017/10/31 · arxiv updated 2017/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We study micromotion in two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We show that this micromotion gives rise to a quantized time-averaged orbital magnetization density in any region completely filled with fermions. The quantization of magnetization density has a topological origin, and reveals the physical nature of the new phase identified in P. Titum, E. Berg, M. S. Rudner, G. Refael, and N. H. Lindner [Phys. Rev. X 6, 021013 (2016)PRXHAE2160-330810.1103/PhysRevX.6.021013]. We thus establish that the topological index of this phase can be accessed directly in bulk measurements, and propose an experimental protocol to do so using interferometry in cold-atom-based realizations.

Citations

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