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We introduce a theoretical framework for momentum-resolved superconductivity measurements using the quantum twisting microscope (QTM). This method directly probes pairing symmetry and the microscopic origins of superconductivity in 2D materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Superconductivity in two-dimensional (2D) materials is a key area of condensed matter physics research.
  • Understanding the pairing symmetry and microscopic mechanisms is crucial for developing new superconducting technologies.

Purpose of the Study:

  • To develop a theoretical framework for probing superconductivity with momentum resolution.
  • To establish the quantum twisting microscope (QTM) as a direct tool for analyzing superconducting properties.

Main Methods:

  • Utilizing a planar tunneling device (QTM) with a rotated graphene tip relative to a 2D sample.
  • Leveraging in-plane momentum conservation to measure the superconducting spectral function.
  • Analyzing Bogoliubov coherence factors from electron and hole excitation intensities to determine pairing magnitude.

Main Results:

  • The QTM directly measures superconducting spectral functions along defined momentum trajectories.
  • Relative intensities of excitations reveal momentum-dependent pairing magnitude.
  • Detection of rotational symmetry breaking and nodal points in the superconducting order parameter is enabled.

Conclusions:

  • The QTM framework provides direct access to pairing symmetry and the microscopic origins of superconductivity.
  • The method is applicable to various models, including those with and without electron-electron interactions.
  • This establishes the QTM as a powerful tool for studying superconductivity in 2D materials.