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1. Topological Microlaser with a Non-Hermitian Topological Bulk

   https://doi.org/10.1103/PhysRevLett.131.023202  

   Li, Zhitong; Luo, Xi-Wang; Lin, Dayang; Gharajeh, Abouzar; Moon, Jiyoung; Hou, Junpeng; Zhang, Chuanwei; Gu, Qing (July 2023, Physical Review Letters)
2. Topological Spaser

   https://doi.org/10.1103/PhysRevLett.124.017701  

   Wu, Jhih-Sheng; Apalkov, Vadym; Stockman, Mark I. (January 2020, Physical Review Letters)

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3. Topological electronics

   https://doi.org/10.1038/s42005-021-00569-5  

   Gilbert, Matthew J. (December 2021, Communications Physics)

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   Abstract Within the broad and deep field of topological materials, there are an ever-increasing number of materials that harbor topological phases. While condensed matter physics continues to probe the exotic physical properties resulting from the existence of topological phases in new materials, there exists a suite of “well-known” topological materials in which the physical properties are well-characterized, such as Bi 2 Se 3 and Bi 2 Te 3 . In this context, it is then appropriate to ask if the unique properties of well-explored topological materials may have a role to play in applications that form the basis of a new paradigm in information processing devices and architectures. To accomplish such a transition from physical novelty to application based material, the potential of topological materials must be disseminated beyond the reach of condensed matter to engender interest in diverse areas such as: electrical engineering, materials science, and applied physics. Accordingly, in this review, we assess the state of current electronic device applications and contemplate the future prospects of topological materials from an applied perspective. More specifically, we will review the application of topological materials to the general areas of electronic and magnetic device technologies with the goal of elucidating the potential utility of well-characterized topological materials in future information processing applications. 

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4. Topological Nanomaterials

   https://doi.org/doi.org/10.1038/s41578-019-0113-4  

   Liu, Pengzi; Williams, James; Cha, Judy (January 2019, Nature reviews. Materials)

   The past decade has witnessed the emergence of a new frontier in condensed matter physics: topological materials with an electronic band structure belonging to a different topological class from that of ordinary insulators and metals. This non-trivial band topology gives rise to robust, spin-polarized electronic states with linear energy–momentum dispersion at the edge or surface of the materials. For topological materials to be useful in electronic devices, precise control and accurate detection of the topological states must be achieved in nanostructures, which can enhance the topological states because of their large surface-to-volume ratios. In this Review, we discuss notable synthesis and electron transport results of topological nanomaterials, from topological insulator nanoribbons and plates to topological crystalline insulator nanowires and Weyl and Dirac semimetal nanobelts. We also survey superconductivity in topological nanowires, a nanostructure platform that might enable the controlled creation of Majorana bound states for robust quantum computations. Two material systems that can host Majorana bound states are compared: spin–orbit coupled semiconducting nanowires and topological insulating nanowires, a focus of this Review. Finally, we consider the materials and measurement challenges that must be overcome before topological nanomaterials can be used in next-generation electronic devices. 

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5. Topological Acoustics

   https://doi.org/10.1121/AT.2021.17.3.13  

   Andrea Alu; Chiara Daraio; Pierre A. Deymier; Massimo Ruzzene (October 2021, Acoustics today)

   The field of topology studies the properties of geometric objects that are preserved under continuous deformations, for example, without cutting or gluing. A cup with a handle is topologically equivalent to a donut (or a bagel if you live in New York) because one shape can be deformed into the other while preserving their common invariant hole. Exotic topological shapes, such as vortices, knots, and mobius strips, can be globally analyzed using the mathematical tools offered by topology. The connection between topology and acoustics may appear far-fetched, yet recent developments in the field of condensed matter physics and quantum mechanics have been inspiring exciting opportunities to manipulate sound in new and unexpected ways based on topological concepts. 

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