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Higher-Order Topological Mott Insulators.

Koji Kudo1, Tsuneya Yoshida1,2, Yasuhiro Hatsugai1,2

  • 1Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan.

Physical Review Letters
|November 26, 2019
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Summary
This summary is machine-generated.

We introduce a novel higher-order topological Mott insulator (HOTMI), a correlated state with unique bulk-boundary properties. Electron correlations cause spin excitations to exhibit gapless corner modes, distinct from noninteracting systems.

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Area of Science:

  • Condensed matter physics
  • Topological phases of matter
  • Quantum magnetism

Background:

  • Topological insulators exhibit unique boundary states protected by topology.
  • Higher-order topological phases host protected states at lower-dimensional boundaries (e.g., corners).
  • Mott insulators are characterized by strong electron-electron interactions, leading to complex correlated phenomena.

Purpose of the Study:

  • To propose and investigate a new correlated topological state: the higher-order topological Mott insulator (HOTMI).
  • To explore the role of electron correlations in realizing higher-order topological phenomena.
  • To understand the bulk-boundary correspondence in correlated topological states.

Main Methods:

  • Theoretical modeling using the Hubbard model on a kagome lattice.
  • Analysis of topological properties, including the Z3 spin-Berry phase.
  • Investigation of bulk and boundary electronic excitations under strong correlation effects.

Main Results:

  • The emergence of a higher-order topological Mott insulator (HOTMI) state.
  • A novel bulk-boundary correspondence where topological properties manifest as gapless corner modes in spin excitations only.
  • Demonstration that strong correlations fundamentally alter corner modes compared to noninteracting topological insulators.

Conclusions:

  • Electron correlations are crucial for realizing novel higher-order topological states like the HOTMI.
  • The HOTMI exhibits unique topological features, with gapless corner modes appearing exclusively in spin excitations.
  • This work provides a new paradigm for understanding topological matter in the presence of strong electron correlations.