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Fractional edge reconstruction in integer quantum Hall phases

Udit Khanna1,2, Moshe Goldstein1, and Yuval Gefen2

  • 1Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 6997801, Israel
  • 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

Phys. Rev. B 103, L121302 – Published 29 March, 2021

DOI: https://doi.org/10.1103/PhysRevB.103.L121302

Abstract

Protected edge modes are the cornerstone of topological states of matter. The simplest example is provided by the integer quantum Hall state at Landau level filling unity, which should feature a single chiral mode carrying electronic excitations. In the presence of a smooth confining potential it was hitherto believed that this picture may only be partially modified by the appearance of additional counterpropagating integer-charge modes. Here, we demonstrate the breakdown of this paradigm: The system favors the formation of edge modes supporting fractional excitations. This accounts for previous observations, and leads to additional predictions amenable to experimental tests.

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