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Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

Materials Science · Physics 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. In contrast, the one-dimensional (1D) edge…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 D. A. Khudaiberdiev , Z. D. Kvon , M. S. Ryzhkov , D. A. Kozlov , N. N. Mikhailov , A. Pimenov

In a typical situation, gapless surface states of a three-dimensional (3D) weak topological insulator (WTI) appear only on sides, leaving the top and bottom surfaces gapped. To describe massless Dirac electrons emergent on such side…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Takashi Arita , Yositake Takane

In topological crystalline insulators the topological conducting surface states are protected by crystal symmetry, in principle making it possible to pattern nanoscale insulating and conductive motifs solely by breaking local symmetries on…

Recent experiments on amorphous materials have established the existence of surface states similar to those of crystalline three-dimensional topological insulators (TIs). Amorphous topological insulators are also independently of interest…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Siddhant Mal , Elizabeth J. Dresselhaus , Joel E. Moore

The spin-momentum locked nature of the robust surface states of three dimensional topological insulators (3D TI) make them promising candidates for spintronics applications. Surface potentials which respect time reversal symmetry can exist…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Sthitadhi Roy , Sourin Das

We show how the two-dimensional (2D) topological insulator evolves, by stacking, into a strong or weak topological insulator with different topological indices, proposing a new conjecture that goes beyond an intuitive picture of the…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 Koji Kobayashi , Yukinori Yoshimura , Ken-Ichiro Imura , Tomi Ohtsuki

We theoretically study superconducting proximity effect between a topological insulator (TI) and a high-temperature d-wave superconductor (dSC). When the TI-dSC heterostructure violates 90 degree-rotation and certain reflection symmetries,…

Strongly Correlated Electrons · Physics 2015-06-30 Zi-Xiang Li , Cheung Chan , Hong Yao

A heterostructure consisting of a topological insulator (TI) nanowire brought into proximity with a superconducting layer provides a promising route to achieve topological superconductivity and associated Majorana bound states (MBSs). Here,…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Henry F. Legg , Daniel Loss , Jelena Klinovaja

Three-dimensional strong topological insulators (TIs) guarantee the existence of a 2-D conducting surface state which completely covers the surface of the TI. The TI surface state necessarily wraps around the TI's top, bottom, and two…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Vincent E. Sacksteder , Kristin Bjorg Arnardottir , Stefan Kettemann , Ivan A. Shelykh

Threading magnetic flux into topological phases can induce bound states that reveal intrinsic properties of the ground state. In a 3D $\mathbb{Z}_2$ topological insulator, a quantized $\pi$ flux traps a pair of 1D helical modes, whereas a…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Yechen Xun , Rui-Xing Zhang

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Motohiko Ezawa

Higher-order topological insulators (HOTIs) are described by symmetric exponentially decayed Wannier functions at some $necessary$ unoccupied Wyckoff positions and classified as obstructed atomic insulators (OAIs) in the topological quantum…

Materials Science · Physics 2022-10-27 Da-Shuai Ma , Kejun Yu , Xiao-Ping Li , Xiaoyuan Zhou , Rui Wang

Topological insulators (TIs) have attracted much attention due to their spin-polarized surface and edge states, whose origin in symmetry gives them intriguing quantum-mechanical properties. Robust control over the chemical potential of TI…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Andrew L. Yeats , Yu Pan , Anthony Richardella , Peter J. Mintun , Nitin Samarth , David D. Awschalom

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

We grow nearly freestanding single-layer 1T'-WTe2 on graphitized 6H-SiC(0001) by using molecular beam epitaxy (MBE), and characterize its electronic structure with scanning tunneling microscopy / spectroscopy (STM/STS). We demonstrate the…

Nanofabrication of topological insulator (TI) devices is essential for accessing edge and interface states, but conventional lithography and etching compromise the atomically clean surfaces required for scanning tunneling microscopy and…

Materials Science · Physics 2025-09-24 Adrian Greichgauer , Roozbeh Yazdanpanah , Alexey Taskin , Oliver Breunig , Yoichi Ando , Jens Brede

We demonstrate that random flux is able to drive nontrivial topological phase transitions, in particular between weak topological insulators (WTIs) and Chern insulators (CIs), illustrated on an anisotropic Wilson-Dirac model in two…

Mesoscale and Nanoscale Physics · Physics 2025-06-19 Chang-An Li , Bo Fu , Jian Li , Björn Trauzettel

We examine the transport properties of magnetically doped topological insulator (TI) thin films subject to correlated non-magnetic disorder. For the disorder we choose a quasi-periodic potential with a random phase. We restrict the disorder…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Takuya Okugawa , Tanay Nag , Dante M. Kennes

Three dimensional (3D) topological insulators (TIs) are an important class of materials with applications in electronics, spintronics and quantum computing. With the recent development of truly bulk insulating 3D TIs, it has become possible…