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Nonsymmorphic symmetries in materials can be identified using quasiparticle interference (QPI) patterns observed via scanning tunneling microscopy (STM). These QPI maps reveal universal symmetry information through specific signal absences or intensity variations.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Surface Science

Background:

  • Quasiparticle interference (QPI) patterns, obtained via scanning tunneling microscopy (STM), arise from the scattering of Bloch states by impurities.
  • These interference patterns are sensitive to the electronic band structure and symmetry properties of materials.
  • Nonsymmorphic symmetries, which involve combinations of translations and other symmetry operations, play a crucial role in determining material properties.

Purpose of the Study:

  • To investigate how nonsymmorphic symmetries, that commute with lattice translations, are imprinted on QPI maps.
  • To establish a theoretical framework for extracting universal symmetry information from QPI measurements, even when spatial symmetries are broken.
  • To provide guidelines for analyzing QPI data in materials exhibiting such symmetries.

Main Methods:

  • Theoretical analysis of quasiparticle interference (QPI) phenomena.
  • Formulation of selection rules based on the constraints imposed by nonsymmorphic symmetries on Bloch functions.
  • Application of the theory to model systems (1D chains, ZrSiS) and experimental data (TaAs).

Main Results:

  • Nonsymmorphic symmetries impose constraints on momentum-space relationships of Bloch states.
  • These constraints lead to observable selection rules in QPI maps, often manifested as the absence of signal or specific intensity ratios.
  • The study demonstrates the universality of this symmetry information encoded in QPI, irrespective of symmetry breaking by impurities or the STM tip.

Conclusions:

  • QPI measurements are a powerful tool for detecting and characterizing nonsymmorphic symmetries in materials.
  • The developed theory provides a framework for interpreting QPI data in materials with complex symmetries, including those in rod and layer space groups.
  • This approach is particularly relevant for analyzing materials with enlarged unit cells due to correlated orders like antiferromagnetism.