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We investigate the robustness of {\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate…

Materials Science · Physics 2025-05-20 Felipe Crasto de Lima , Roberto H. Miwa , Caio Lewenkopf , Adalberto Fazzio

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

Topological defects are ubiquitous from solid state physics to cosmology, where they drive phase transitions by proliferating as domain walls, monopoles or vortices. As quantum excitations, they often display fractional charge and anyonic…

Mesoscale and Nanoscale Physics · Physics 2012-03-27 R. Koushik , Matthias Baenninger , Vijay Narayan , Subroto Mukerjee , Michael Pepper , Ian Farrer , David A. Ritchie , Arindam Ghosh

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

Understanding geometric frustration of ordered phases in two-dimensional condensed matters on curved surfaces is closely related to a host of scientific problems in condensed matter physics and materials science. Here we show how…

Soft Condensed Matter · Physics 2017-09-05 Zhenwei Yao

The quantum transition between shifted zero-mode wave functions is shown to be induced by the systematic deformation of topological and non-topological defects that support the $1$-dim double-well (DW) potential tunneling dynamics. The…

Quantum Physics · Physics 2015-07-16 Alex E. Bernardini , Mariana Chinaglia

Topological electronic phases exist in a variety of naturally occurring materials but can also be created artificially. We used a cryogenic scanning tunneling microscope to create dimerized chains of identical quantum dots on a…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Van Dong Pham , Yi Pan , Steven C. Erwin , Felix von Oppen , Kiyoshi Kanisawa , Stefan Fölsch

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

Strongly Correlated Electrons · Physics 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

Topological materials ranging from topological insulators to semimetals host many novel quantum phenomena including quantum spin Hall effect and topological Fermi arcs. Transitions between these topological phases have attracted much…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Changcang Qiao , Chen-Chia Hsu , Tao Zhang , Zhiming Sun , Dong Qian , Yang-hao Chan , Peng Chen

Weyl semimetals and higher-order topological insulators represent two fundamental yet distinct classes of topological matter. While both have been extensively studied in classical-wave systems, their coexistence and controllable transition…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Yu-Hong Han , Yi Li , Feng Mei , Liantuan Xiao , Suotang Jia

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

We theoretically investigate the engineering of two-dimensional second-order topological insulators with corner states by coupling two first-order topological insulators. We find that the interlayer coupling between two topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Lizhou Liu , Jiaqi An , Yafei Ren , Yingtao Zhang , Zhenhua Qiao , Qian Niu

Topological insulators (TIs) are an important family of quantum materials that exhibit a Dirac point (DP) in the surface band structure but have a finite band gap in bulk. A large degree of spin-orbit interaction and low bandgap is a…

Materials Science · Physics 2024-02-22 Thomas K. Reid , S. Pamir Alpay , Alexander V. Balatsky , Sanjeev K. Nayak

Phase transitions between the quantum spin Hall and the insulator phases in three dimensions are studied. We find that in inversion-asymmetric systems there appears a gapless phase between the quantum spin Hall and insulator phases in three…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Shuichi Murakami

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

We investigate the possibility of using structural disorder to induce a topological phase in a solid state system. Using first-principles calculations, we introduce structural disorder in the trivial insulator BiTeI and observe the…

Materials Science · Physics 2021-06-30 Paul Corbae , Frances Hellman , Sinead M. Griffin

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

Noncollinear and noncoplanar magnetic orders lead to unusual electronic structures and transport properties. We here investigate two types of multiple-Q magnetically ordered states and a topological phase transition between them in two…

Strongly Correlated Electrons · Physics 2015-02-10 Satoru Hayami , Yukitoshi Motome

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

A nodal-line semimetal phase which is enforced by the symmetries of the material is interesting from fundamental and application standpoints. We demonstrate that such a phase of matter can be engineered by a simple method: Introducing…

Materials Science · Physics 2021-08-13 Fujun Liu , Fanyao Qu , Igor Zutic , Mariana Malard