Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices

Mizoguchi, Tsuyoshi; Maruyama, Mina; Okada, Susumu; Hatsugai, Yasuhiro

doi:10.1103/physrevmaterials.3.114201

Cited by 29 publications

(28 citation statements)

References 98 publications

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“…Also the flat bands show a few characteristic behaviors in thermodynamic quantities, which we summarize in SI. 41 -Note Added : After the completion of this work, we became aware of independent work on decorated star lattices 68 where flat bands and higher-order topology are also discussed. We also thank Hosho Katsura for several useful comments and bringing our attention to the recent indepedent paper.…”

Section: (A) the Full Hamiltonian Is Nowmentioning

confidence: 99%

“…We also thank Hosho Katsura for several useful comments and bringing our attention to the recent indepedent paper. 68 Here we summarize the theory part of our previous work 1 . Specifically, we will introduce the scattering description of the honeycomb network, which reproduces the key structure of the tight-binding model in the main text.…”

Section: (A) the Full Hamiltonian Is Nowmentioning

confidence: 99%

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Stable Flatbands, Topology, and Superconductivity of Magic Honeycomb Networks

et al. 2020

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We uncover a rich phenomenology of conducting honeycomb network superstructure, which plays a significant role in understanding the phase diagram topology and superconductivity of chargedensity wave materials such as 1T-TaS2. One of the most important theoretical questions about these materials is to understand the emerging superconductivity inside the nearly-commensurate charge-density wave state. Our key observation is that the conducting domain walls inside the charge-ordered state form a honeycomb network and the network magically supports a cascade of flat bands, whose unusual stability we thoroughly investigate. Furthermore, by combining the weak-coupling and strong-coupling approaches, we show that the superconductivity will be strongly enhanced in the network. This provides a natural mechanism for emerging superconductivity, and so explains the phase diagram topology of these charge density wave materials. Not only explaining emerging superconductivity, we show that abundant topological states including the corner states, which are closely related to that of the higher-order topology, appear.

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Section: (A) the Full Hamiltonian Is Nowmentioning

confidence: 99%

Section: (A) the Full Hamiltonian Is Nowmentioning

confidence: 99%

Stable Flatbands, Topology, and Superconductivity of Magic Honeycomb Networks

et al. 2020

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“…Immediate extensions include the development of related algorithms to search for other lattices and families of lattices known to host flat bands. This includes Tasaki's lattices [58], lattices that are constructed entirely from cliques but are not line graphs [59], and decorated or superlattices built from 1D chains [60,61]. Our search can also be run on a database of monolayer materials.…”

Section: Discussionmentioning

confidence: 99%

Line-graph-lattice crystal structures of stoichiometric materials

Chiu,

Carroll,

Regnault

et al. 2021

Preprint

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The origin of many quantum-material phenomena is intimately related to the presence of flat electronic bands. In quantum simulation, such bands have been realized through line-graph lattices, a class of lattices known to exhibit flat bands. Based on that work, we conduct a high-throughput screening for line-graph lattices among the crystalline structures of the Materials Flatband Database and report on new candidates for line-graph materials and lattice models. In particular, we find materials with line-graph-lattice structures beyond the two most commonly known examples, the kagomé and pyrochlore lattices. We also identify materials which may exhibit flat topological bands. Finally, we examine the various line-graph lattices detected and highlight those with gapped flat bands and those most frequently represented among this set of materials. With the identification of real stoichiometric materials and theoretical lattice geometries, the results of this work may inform future studies of flat-band many-body physics in both condensed matter experiment and theory.

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“…Mizoguchi presented a theoretical interplay between the structure of triptycene derivatives and the electronic properties of polymerized triptycenes by employing a molecular orbital approach for the identification of driving forces behind the flat band topology and Dirac cones [ 167 ].…”

Section: Triptycenes: From the Inter- And Intramolecular Interactions To The Propertiesmentioning

confidence: 99%

Triptycene Derivatives: From Their Synthesis to Their Unique Properties

2021

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Since the first preparation of triptycene, great progress has been made with respect to its synthesis and the understanding of its properties. Interest in triptycene-based systems is intense; in recent years, advances in the synthetic methodology and properties of new triptycenes have been reported by researchers from various fields of science. Here, an account of these new developments is given and placed in reference to earlier pivotal works that underpin the field. First, we discuss new approaches to the synthesis of new triptycenes. Progress in the regioselective synthesis of sterically demanding systems is discussed. The application of triptycenes in catalysis is also presented. Next, progress in the understanding of the relations between triptycene structures and their properties is discussed. The unique properties of triptycenes in the liquid and solid states are elaborated. Unique interactions, which involve triptycene molecular scaffolds, are presented. Molecular interactions within a triptycene unit, as well as between triptycenes or triptycenes and other molecules, are also evaluated. In particular, the summary of the synthesis and useful features will be helpful to researchers who are using triptycenes as building blocks in the chemical and materials sciences.

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Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices

Cited by 29 publications

References 98 publications

Stable Flatbands, Topology, and Superconductivity of Magic Honeycomb Networks

Stable Flatbands, Topology, and Superconductivity of Magic Honeycomb Networks

Line-graph-lattice crystal structures of stoichiometric materials

Triptycene Derivatives: From Their Synthesis to Their Unique Properties

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