Dynamical Conductivities for the Fermionic Lieb Lattice

On the Lieb lattice, each unit cell contains three atoms, and its energy spectrum has a three-band structure, with a flat band touching two dispersive bands at a single point. The spin–orbit coupling term does not affect the flat band. However, it opens the gap between the flat and upper and lower d...

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Bibliographic Details
Published in:Brazilian journal of physics 2024-10, Vol.54 (5), Article 197
Main Author: Pires, A. S. T.
Format: Article
Language:English
Subjects:
Atomic structure
Banded structure
Energy spectra
Physics
Physics and Astronomy
Spin-orbit interactions
Unit cell
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Summary:On the Lieb lattice, each unit cell contains three atoms, and its energy spectrum has a three-band structure, with a flat band touching two dispersive bands at a single point. The spin–orbit coupling term does not affect the flat band. However, it opens the gap between the flat and upper and lower dispersive bands, generating a nontrivial intrinsic Berry phase that leads to topological spin transport features. We calculate the transverse Hall conductivity and the dynamical longitudinal conductivity.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-024-01574-z