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We predict a nematic phase in SnTe surfaces under a magnetic field, driven by interactions within Dirac surface states. This phase exhibits broken C3 symmetry and is influenced by Coulomb interactions and magnetic field strength.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Surface science

Background:

  • The (111) surface of tin telluride (SnTe) exhibits unique Dirac surface states.
  • These states include one isotropic Gamma-centered and three anisotropic M-bar-centered states.

Purpose of the Study:

  • To predict the occurrence of a nematic phase on the SnTe (111) surface.
  • To investigate the conditions and controlling factors of this nematic phase.
  • To explore the influence of in-plane Zeeman fields on the phase diagram.

Main Methods:

  • Theoretical prediction of a nematic phase.
  • Analysis of Landau level filling (N=0 M-bar).
  • Investigating the interplay of Coulomb interactions and intervalley scattering.
  • Examining the effect of in-plane Zeeman fields.

Main Results:

  • A nematic phase with broken C3 symmetry is predicted under a perpendicular magnetic field when Landau levels are 1/3 or 2/3 filled.
  • The phase boundary is determined by a balance between intravalley Coulomb interactions and intervalley scattering.
  • An in-plane Zeeman field modifies the phase diagram by breaking Landau level degeneracy, leading to energy periodicity.

Conclusions:

  • The SnTe (111) surface can host a tunable nematic phase.
  • Magnetic field strength and Zeeman field orientation are critical parameters for controlling the surface state symmetry.
  • This work provides insights into topological surface states and their manipulation in quantum materials.