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Hyperbolic Fringe Signal for Twin Impurity Quasiparticle Interference
Peize Ding1,2,3, Tilman Schwemmer1, Ching Hua Lee4,5
1Institute for Theoretical Physics, University of Würzburg, Am Hubland, D-97074 Würzburg, Germany.
Physical Review Letters
|July 7, 2023
Summary
Hyperbolic fringes in quasiparticle interference patterns signal superconducting order. Twin impurity QPI analysis reveals chiral or nonchiral states and order parameters in superconductors.
Area of Science:
- Condensed Matter Physics
- Surface Science
- Superconductivity
Background:
- Quasiparticle interference (QPI) is a powerful technique for probing electronic structures.
- Understanding the role of impurities in superconductors is crucial for characterizing their properties.
Purpose of the Study:
- To investigate the appearance of hyperbolic fringes (HFs) in QPI patterns from adjacent impurities on gapped superconductors.
- To establish twin impurity QPI as a novel method for analyzing superconducting order parameters.
Main Methods:
- Theoretical study of quasiparticle interference patterns.
- Analysis of scattering from a pair of adjacent impurities on a superconductor surface.
- Examination of loop contributions in two-impurity scattering.
Main Results:
- Hyperbolic fringes (HFs) emerge in QPI signals due to two-impurity scattering, with impurity locations acting as hyperbolic focus points.
- In single-pocket systems, HFs indicate chiral superconducting order with nonmagnetic impurities or nonchiral order with magnetic impurities.
- Multipocket systems with sign-changing order parameters (e.g., s± wave) also exhibit HF signatures.
Conclusions:
- Twin impurity QPI offers a complementary approach to local spectroscopy for analyzing superconducting order.
- The presence and characteristics of hyperbolic fringes provide insights into the nature of superconductivity, including chirality and order parameter symmetry.
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