Pinch-point spectral singularity from the interference of topological loop states
arxiv(2024)
摘要
Pinch point is a spectral discontinuity found in the neutron diffraction
image of spin ice. Similar spectral singularity is commonly observed in a broad
range of systems that have a close connection with flat bands. We focus on the
electron flat band and its two topologically distinct classes of wavefunction:
the compact localized state (CLS), and the non-contractible loop state (NLS).
We establish their simple mathematical relationship, showing that different
Bloch NLSs can be derived as momentum derivatives of a Bloch CLS, depending on
the approaching direction toward the singular point. This CLS-NLS
correspondence helps visualize the pinch point as an interference pattern among
NLSs through a “polarizer", which encodes the information about the location
of singular momentum and the experimental techniques like spin-polarized
photoemission spectroscopy. It helps extract topological information knit to
microscopic electronic and magnetic structures.
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