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Type-II Dirac semimetal stabilized by electron-phonon coupling.

Mirko M Möller1,2, George A Sawatzky3,4, Marcel Franz3,4

  • 1Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada. moellerm@phas.ubc.ca.

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We reveal how electron-phonon coupling induces topological effects in polaron bands, creating Dirac cones and enabling control over Dirac and Weyl semimetals.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Topology is crucial in condensed matter physics, with significant advances in classifying topological properties of non-interacting electrons.
  • Understanding the interplay between topology and electron-electron interactions is an active research area.

Purpose of the Study:

  • To investigate the role of topology in electron-lattice interactions.
  • To explore non-trivial topological effects in polaron bands.
  • To determine if electron-phonon coupling can create novel topological phenomena.

Main Methods:

  • Utilized a two-dimensional many-band model with realistic electron-phonon coupling.
  • Analyzed polaron eigenstates and ground state transitions.
  • Investigated the emergence of Dirac cones.

Main Results:

  • Predicted and verified non-trivial topological effects in infinitely long-lived polaron bands.
  • Demonstrated sharp level crossings in polaron eigenstates.
  • Observed a novel sharp transition in the polaron ground state at fixed momentum.
  • Confirmed the stabilization of Dirac cones by electron-phonon coupling.

Conclusions:

  • Electron-phonon coupling introduces significant topological effects.
  • This coupling provides a new pathway for creating and controlling Dirac and Weyl semimetals.
  • The findings offer novel insights into topological phenomena in interacting systems.