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Topological insulators represent a new class of quantum phase defined by invariant symmetries and spin-orbit coupling that guarantees metallic Dirac excitations at its surface. The discoveries of these states have sparked the hope of…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Tanmoy Das , A. V. Balatsky

By breaking the inversion symmetry of the three-dimensional Dirac metal Na$_3$Bi, we realize topological insulator (TI) phases in the known compound NaBaBi using $ab~initio$ calculations. Two distinct TI phases emerge: one phase is due to…

Materials Science · Physics 2016-05-11 Yan Sun , Qing-Ze Wang , Shu-Chun Wu , Claudia Felser , Chao-Xing Liu , Binghai Yan

The spin-orbit interaction affects the electronic structure of solids in various ways. Topological insulators are one example where the spin-orbit interaction leads the bulk bands to have a non-trivial topology, observable as gapless…

Materials Science · Physics 2012-02-15 M. S. Bahramy , B. -J. Yang , R. Arita , N. Nagaosa

We demonstrate that the interplay between structural geometry and Rashba spin-orbit coupling generates nontrivial topological phases in honeycomb nanoribbon heterostructures. We consider an armchair nanoribbon in which a Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Hao-Ru Wu , Jhih-Shih You , Yiing-Rei Chen , Hong-Yi Chen

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

Nonmagnetic topological insulators (TIs) are known for their robust metallic surface/edge states that are protected by time-reversal symmetry, making them promising candidates for next-generation spintronic and nanoelectronic devices.…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

The Dirac cone originates from the bulk topology, yet its primary contribution comes from the surface since spatially, the Dirac state emerges at the boundary between the trivial and topological phases. At the same time, the Rashba states…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Giuseppe Cuono , Rajibul Islam , Amar Fakhredine , Carmine Autieri

The recent discovery of Dirac semimetals represents a new achievement in our fundamental understanding of topological states of matter. Due to their topological surface states, high mobility, and exotic properties associated with bulk Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Xianbo Xiao , Shengyuan A. Yang , Zhengfang Liu , Huili Li , Guanghui Zhou

By means of first-principles and \emph{ab initio} tight-binding calculations, we found that the compound of NaBi is a three-dimensional non-trivial topological metal. Its topological feature can be confirmed by the presence of band…

Materials Science · Physics 2014-08-05 Xing-Qiu Chen , Ronghan Li , Yan Sun , Xiyue Cheng , Dianzhong Li , Yiyi Li

In two dimensions, an s-wave superconductor in the presence of Rashba spin-orbit coupling possesses distinct topologically non-trivial ground state phases controlled by Zeeman splitting and band filling. These phases can be characterized in…

Superconductivity · Physics 2021-08-26 Stefan Gorol , Florian Loder , Daniel Braak , Arno P. Kampf , Thilo Kopp

We consider the analogy between the topological phase transition which occurs as a function of spatial coordinate on a surface of a non-trivial insulator, and the one which occurs in the bulk due to the change of internal parameters (such…

Materials Science · Physics 2012-11-06 Stanislav Chadov , Janos Kiss , Jürgen Kübler , Claudia Felser

We have investigated the bulk and surface electronic structures and band topology of TlBiS$_2$ as a function of strain and electric field using \textit{ab-initio} calculations. In its pristine form, TlBiS$_2$ is a normal insulator, which…

Mesoscale and Nanoscale Physics · Physics 2014-07-18 Bahadur Singh , Hsin Lin , R. Prasad , A. Bansil

Strain can be used as an effective tool to tune the crystal structure of materials and hence to modify their electronic structures, including topological properties. Here, taking Na3Bi as a paradigmatic example, we demonstrated with…

Materials Science · Physics 2017-08-15 Dexi Shao , Jiawei Ruan , Juefei Wu , Tong Chen , Zhaopeng Guo , Haijun Zhang , Jian Sun , Li Sheng , Dingyu Xing

We study with first-principles methods the interplay between bulk and surface Dirac fermions in three dimensional Dirac semimetals. By combining density functional theory with the coherent potential approximation, we reveal a topological…

Mesoscale and Nanoscale Physics · Physics 2014-12-18 Awadhesh Narayan , Domenico Di Sante , Silvia Picozzi , Stefano Sanvito

We investigate the bulk-boundary correspondence in two-dimensional type-I semi-Dirac materials with band inversion and Rashba spin-orbit coupling. Employing a dimensional reduction framework, we identify the Zak phase along the…

Mesoscale and Nanoscale Physics · Physics 2025-06-02 Marta García-Olmos , Yuriko Baba , Alexander López , Mario Amado , Rafael A. Molina

We demonstrate theoretically the coexistence of Dirac semimetal and topological insulator phases in InSb/$\alpha$-Sn conventional semiconductor superlattices, based on advanced first-principles calculations combined with low-energy $k\cdot…

Materials Science · Physics 2016-07-18 Jian-Peng Sun , Jia-ji Zhu , Dong Zhang , Kai Chang

In investigating the topological electronic structures of monolayer $\alpha$-phase group V elements, we uncover a new topological phase, which is invisible in the symmetry-based topological quantum chemistry (TQC) as well as symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Baokai Wang , Xiaoting Zhou , Yen-Chuan Lin , Hsin Lin , Arun Bansil

Topological insulators are novel macroscopic quantum-mechanical phase of matter, which hold promise for realizing some of the most exotic particles in physics as well as application towards spintronics and quantum computation. In all the…

Bismuth has recently attracted interest in connection with Na-ion battery anodes due to its high volumetric capacity. It reacts with Na to form Na$_3$Bi which is a prototypical Dirac semimetal with a nontrivial electronic structure.…

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