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Related papers: Wannier Center Sheets in Topological Insulators

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The non-trivialness of a topological insulator (TI) is characterized either by a bulk topological invariant or by the existence of a protected metallic surface state. Yet, in realistic samples of finite size this non-trivialness does not…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 Ken-Ichiro Imura , Mayuko Okamoto , Yukinori Yoshimura , Yositake Takane , Tomi Ohtsuki

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…

Topological phases of matter are generally characterized by topological properties of energy bands of a system. Their transitions under preserved symmetries occur through closing a gap of energy bands, leading to topologically protected…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yan-Bin Yang , Kai Li , Yong Xu

Using an ab-initio density functional theory based electronic structure method with a semi-local density approximation, we study thin-film electronic properties of two topological insulators based on ternary compounds of Tl (Thallium) and…

Materials Science · Physics 2015-05-28 Jiwon Chang , Leonard F. Register , Sanjay K. Banerjee , Bhagawan Sahu

Topological insulators can be characterized alternatively in terms of bulk or edge properties. We prove the equivalence between the two descriptions for two-dimensional solids in the single-particle picture. We give a new formulation of the…

Mathematical Physics · Physics 2015-06-05 G. M. Graf , M. Porta

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

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

Materials Science · Physics 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

We present a general scheme for measuring the bulk properties of non-interacting tight-binding models realized in arrays of coupled photonic cavities. Specifically, we propose to implement a single unit cell of the targeted model with…

Quantum Gases · Physics 2015-04-13 C. -E. Bardyn , S. D. Huber , O. Zilberberg

In an ideal 3D topological insulator (TI), the bulk is insulating and the surface conducting due to the existence of metallic states that are localized on the surface; these are the topological surface states. Quaternary Bi-based compounds…

Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in the presence of material defects and disorder. Computations…

Numerical Analysis · Mathematics 2021-12-09 Matthew J. Colbrook , Andrew Horning , Kyle Thicke , Alexander B. Watson

We consider the problem of constructing Wannier functions for Z_2 topological insulators in two dimensions. It is well known that there is a topological obstruction to the construction of Wannier functions for Chern insulators, but it has…

Mesoscale and Nanoscale Physics · Physics 2011-02-23 Alexey A. Soluyanov , David Vanderbilt

We investigate disordered-driven transitions between trivial and topological insulator (TI) phases in two-dimensional (2D) systems. Our study primarily focuses on the BHZ model with Anderson disorder, while other standard 2DTI models…

Disordered Systems and Neural Networks · Physics 2024-05-03 Bryan D. Assunção , Gerson J. Ferreira , Caio H. Lewenkopf

Topological insulators (TIs) exhibit novel physics with great promise for new devices, but considerable challenges remain to identify TIs with high structural stability and large nontrivial band gap suitable for practical applications. Here…

Materials Science · Physics 2015-11-27 Liangzhi Kou , Xin Tan , Yandong Ma , Hassan Tahini , Liujiang Zhou , Ziqi Sun , Aijun Du , Changfeng Chen , Sean C Smith

Topological insulators hold promises to realize exotic quantum phenomena in electronic, photonic, and phononic systems. Conventionally, topological indices, such as winding numbers, have been used to predict the number of topologically…

Materials Science · Physics 2023-11-22 Amir Rajabpoor Alisepahi , Siddhartha Sarkar , Kai Sun , Jihong Ma

We study coherent transport in density tunable micro-devices patterned from thin films of the topological insulator (TI) Bi2Se3. The devices exhibit pronounced electric field effect, including ambipolar modulation of the resistance with an…

Mesoscale and Nanoscale Physics · Physics 2012-01-19 Hadar Steinberg , Jean-Baptiste Laloë , Valla Fatemi , Jagadeesh S. Moodera , Pablo Jarillo-Herrero

The topological properties of the bulk band structure of a three-dimensional topological insulator (TI) manifest themselves in the form of metallic surface states. In this paper, we propose a probe which directly couples to an exotic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Sthitadhi Roy , Kush Saha , Sourin Das

Commonly materials are classified as either electrical conductors or insulators. The theoretical discovery of topological insulators (TIs) in 2005 has fundamentally challenged this dichotomy. In a TI, spin-orbit interaction generates a…

Topological insulators are characterized by insulating bulk states and robust metallic surface states. Band inversion is a hallmark of topological insulators: at time-reversal invariant points in the Brillouin zone, spin-orbit coupling…

Strongly Correlated Electrons · Physics 2024-12-20 Annette Lopez , Cody A. Melton , Jeonghwan Ahn , Brenda M. Rubenstein , Jaron T. Krogel

Topological quantum state described by the global invariant has been extensively studied in theory and experiment. In this letter, we investigate the relationship between \emph{Zitterbewegung} and the topology of systems that reflect the…

Quantum Physics · Physics 2022-11-23 Xin Shen , Yan-Qing Zhu , Zhi Li

The recent discovery of higher-order topological insulators (TIs) has opened new possibilities in the search for novel topological materials and metamaterials. Second-order TIs have been implemented in two-dimensional (2D) systems…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Haoran Xue , Yahui Yang , Guigeng Liu , Fei Gao , Yidong Chong , Baile Zhang
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