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Topological Phonon Modes and Their Role in Dynamic Instability of Microtubules
Open accessAbstract
Microtubules (MTs) are self-assembled hollow protein tubes playing important functions in live cells. Their building block is a protein called tubulin, which self-assembles in a particulate 2 dimensional lattice. We study the vibrational modes of this lattice and find Dirac points in the phonon spectrum. We discuss a splitting of the Dirac points that leads to phonon bands with nonzero Chern numbers, signaling the existence of topological vibrational modes localized at MTs edges, which we indeed observe after explicit calculations. Since these modes are robust against the large changes occurring at the edges during the dynamic cycle of the MTs, we can build a simple mechanical model to illustrate how they would participate in this phenomenon.
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Cites
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
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Cited by
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Flexible mechanical metamaterials
Bertoldi, K., Vitelli, V., Christensen, J., & van Hecke, M. (2017) · Nature Reviews Materials · doi:10.1038/natrevmats.2017.66 · Cited by 1,867
Exceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
Huber, S. D. (2016) · Nature Physics · doi:10.1038/nphys3801 · Cited by 738
Robust reconfigurable electromagnetic pathways within a photonic topological insulator
Cheng, X., Jouvaud, C., Ni, X., Mousavi, S. H., Genack, A. Z., & Khanikaev, A. B. (2016) · Nature Materials · doi:10.1038/nmat4573 · Cited by 618
Metadata
- Authors
- Prodan, E., & Prodan, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-12-07
- Volume
- 103
- Issue
- 24
- Pages
- 248101-248101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W3022733320
- Cited by
- 349
- References
- 2
- FWCI
- 0.93
- Type
- journal article
- Language
- en
- Open access
- green
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