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Flat bands and Dirac cones in materials are the source of the exotic electronic and topological properties. The Lieb lattice is expected to host these electronic structures, arising from quantum destructive interference. Nevertheless, the experimental realization of a 2D Lieb lattice remained challenging to date due to its intrinsic structural instability. After computationally designing a Platinum-Phosphorus (Pt-P) Lieb lattice, it has successfully overcome its structural instability and synthesized on a gold substrate via molecular beam epitaxy. Low-temperature scanning tunneling microscopy and spectroscopy verify the Lieb lattice's morphology and electronic flat bands. Furthermore, topological Dirac edge states stemming from pronounced spin-orbit coupling induced by heavy Pt atoms are predicted. These findings convincingly open perspectives for creating metal-inorganic framework-based atomic lattices, offering prospects for strongly correlated phases interplayed with topology.
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http://dx.doi.org/10.1002/adma.202405615 | DOI Listing |
Phys Rev Lett
August 2025
Hong Kong University of Science and Technology, Department of Physics, Clear Water Bay, Hong Kong, China.
The relation between band topology and Majorana zero energy modes (MZMs) in topological superconductors had been well studied in the past decades. However, the relation between the quantum metric and MZMs has yet to be understood. In this Letter, we first construct a three band Lieb-like lattice model with an isolated flat band and tunable quantum metric.
View Article and Find Full Text PDFPhys Rev Lett
July 2025
University of Science and Technology of China, Hefei National Research Center for Physical Sciences at the Microscale, Hefei, Anhui 230026, China.
Altermagnetism, an emergent collinear magnetic phase with zero net magnetization and momentum-dependent spin splitting, promises to revolutionize spintronics by leveraging symmetry-driven effects without requiring spin-orbit coupling. Despite its potential, a comprehensive understanding of design principles and spin-splitting mechanisms remains elusive. Here, from a mathematical perspective, we exploit the intrinsic fourfold symmetry and structural versatility of 2D square tessellations to engineer altermagnetic states.
View Article and Find Full Text PDFPhys Rev Lett
July 2025
Universität Würzburg, Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, 97074 Würzburg, Germany.
We analyze the phase transition between a symmetric metallic parent state and itinerant altermagnetic order. The underlying mechanism we reveal in our microscopic model of electrons on a Lieb lattice does not involve orbital ordering, but derives from sublattice interference.
View Article and Find Full Text PDFJ Phys Condens Matter
August 2025
Eastern Institute of Technology, Ningbo, People's Republic of China.
Flat bands in condensed matter systems are of profound interest due to their potential for hosting exotic correlated and topological states. While their theoretical foundations are well-established in select lattice geometries (e.g.
View Article and Find Full Text PDFPhys Rev Lett
July 2025
Universidad de Concepción, Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Concepción, Chile.
The spectral structure of a photonic reservoir shapes radiation phenomena for embedded quantum emitters. We implement an all-optical analog to study such an effect, particularly to observe the non-Markovian radiation dynamics of an emitter coupled to two-dimensional structured reservoirs. Its dynamics is simulated by light propagating through a photonic lattice, acting as a reservoir for an adjacent waveguide that mimics a coupled quantum emitter.
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