%0 Generic %1 imura2012spherical %A Imura, Ken-Ichiro %A Yoshimura, Yukinori %A Takane, Yositake %A Fukui, Takahiro %D 2012 %K spherical topological %T Spherical topological insulator %U http://arxiv.org/abs/1205.4878 %X The surface electronic state of a strong topological insulator of spherical shape bears two distinct types of Berry phase; one stemming from the curvature of the spherical surface and the other from what we call "spin-to-surface locking". The electronic spectrum on the spherical surface of a topological insulator, offers a peculiar example of finite-size quantization, as a consequence of the interplay between these two types of Berry phase. We have established an explicit correspondence between the bulk Hamiltonian and the effective Dirac operator on the curved spherical surface. A detailed comparison of the result of this bulk/edge correspondence in the specific case of spherical geometry with a related analysis on the electronic spectrum of fullerene highlights the characteristic features of the topological insulator surface state. Our explicit construction of the surface spinor wave functions reveals a rich spin texture possibly realized on the surface of topological insulator nano-particles. The electronic spectrum inferred by the obtained effective surface Dirac theory is shown to be consistent with the bulk tight-binding calculation.

@misc{imura2012spherical, abstract = {The surface electronic state of a strong topological insulator of spherical shape bears two distinct types of Berry phase; one stemming from the curvature of the spherical surface and the other from what we call "spin-to-surface locking". The electronic spectrum on the spherical surface of a topological insulator, offers a peculiar example of finite-size quantization, as a consequence of the interplay between these two types of Berry phase. We have established an explicit correspondence between the bulk Hamiltonian and the effective Dirac operator on the curved spherical surface. A detailed comparison of the result of this bulk/edge correspondence in the specific case of spherical geometry with a related analysis on the electronic spectrum of fullerene highlights the characteristic features of the topological insulator surface state. Our explicit construction of the surface spinor wave functions reveals a rich spin texture possibly realized on the surface of topological insulator nano-particles. The electronic spectrum inferred by the obtained effective surface Dirac theory is shown to be consistent with the bulk tight-binding calculation.}, added-at = {2012-05-23T21:35:35.000+0200}, author = {Imura, Ken-Ichiro and Yoshimura, Yukinori and Takane, Yositake and Fukui, Takahiro}, biburl = {https://www.bibsonomy.org/bibtex/20271b7b19ae08e3f5c01176b86c3692c/vakaryuk}, description = {Spherical topological insulator}, interhash = {e5288096dcfbf0e318ac334c4b48154c}, intrahash = {0271b7b19ae08e3f5c01176b86c3692c}, keywords = {spherical topological}, note = {cite arxiv:1205.4878 Comment: 13 pages, 2 figures}, timestamp = {2012-09-27T18:31:07.000+0200}, title = {Spherical topological insulator}, url = {http://arxiv.org/abs/1205.4878}, year = 2012 }