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Emergent Quantum Phenomena in Topological and Moiré Condensed Matter Systems: Recent Advances and Future Directions

Dharmendra Kumar

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Journal of Biochemistry and Biophysics 11(1):p 35-41, January 2026. | DOI: https://doi.org/10.21088/rfpjbb.2582-3558.11126.5

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Dharmendra Kumar. Emergent Quantum Phenomena in Topological and Moiré Condensed Matter Systems: Recent Advances and Future Directions. RFP Jour. of Bio. and Biophy. 2026; 11(1): 35–41.

Timeline

Received : May 21, 2026         Accepted : June 04, 2026          Published : June 25, 2026

Abstract

The past five years have witnessed transformative advances in condensed matter physics, driven by the convergence of topological band theory, moiré engineering, and strong electronic correlations. This review synthesizes recent developments in twisted multilayer systems, topological quantum materials, and strongly correlated electron systems, with emphasis on magic-angle twisted bilayer graphene, transition metal dichalcogenide moirés, kagome metals, and quantum spin liquid candidates. We examine how quantum geometry and Berry curvature have emerged as fundamental design parameters for exotic phases, including unconventional superconductivity, correlated insulators, and fractional quantum Hall states. The interplay of flat bands, strong interactions, and topological protection creates unprecedented opportunities for realizing and controlling emergent quasiparticles relevant to quantum information science. We discuss key experimental techniques angle-resolved photoemission spectroscopy, scanning tunneling microscopy, quantum transport, and ultrafast optical probes that have enabled these discoveries. Outstanding challenges include elucidating pairing mechanisms in moiré superconductors, achieving definitive signatures of quantum spin liquids, and developing scalable fabrication protocols. This review provides a comprehensive overview of the current landscape and identifies promising directions for fundamental research and technological applications.

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There are no additional data available. All raw data and code are available upon request.

Funding

This research received no funding.

Author Contributions

All authors contributed significantly to the work and approve its publication.

Ethics Declaration

Provide information related to the Ethics Committee approval with approval number OR write, This article does not involve any human or animal subjects, and therefore does not require ethics approval.

Acknowledgements

We would like to express our gratitude to the patients, their families, and all those who have contributed to this study.

Conflicts of Interest

The authors report no conflicts of interest in this work.

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Cite this article

Dharmendra Kumar. Emergent Quantum Phenomena in Topological and Moiré Condensed Matter Systems: Recent Advances and Future Directions. RFP Jour. of Bio. and Biophy. 2026; 11(1): 35–41.

Licence:

Attribution-Non-commercial 4.0 International (CC BY-NC 4.0)

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format for noncommercial purposes only, and only so long as attribution is given to the creator.

Received Accepted Published
May 21, 2026 June 04, 2026 June 25, 2026
DOI: https://doi.org/10.21088/rfpjbb.2582-3558.11126.5

Keywords

Topological Quantum MaterialsMoiré SuperlatticesTwistronicsQuantum GeometryBerry CurvatureFlat-Band PhysicsStrongly Correlated Electron SystemsUnconventional SuperconductivityMagic-Angle Twisted Bilayer GrapheneKagome MetalsQuantum Spin LiquidsFractional Chern InsulatorsTopological SuperconductivityQuantum TransportQuantum Materials Engineering

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Timeline

Received May 21, 2026
Accepted June 04, 2026
Published June 25, 2026

licence

Attribution-Non-commercial 4.0 International (CC BY-NC 4.0)

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format for noncommercial purposes only, and only so long as attribution is given to the creator.


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