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This work explores the topological phase diagram of inverted-band-gap semiconductors under strain and spin-orbit coupling. Using a minimalistic Luttinger Hamiltonian model, we follow the transitions between a 3D topological insulator, a…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Vitaly N. Golovach , Alexander Khaetskii

The topological insulator and strong electronic correlation effect are two important subjects in the frontier studies of modern condensed matter physics. A topological insulator exhibits a unique pair of surface conduction bands with the…

Strongly Correlated Electrons · Physics 2015-09-25 Guan Du , Zengyi Du , Xiong Yang , Enyu Wang , Delong Fang , Huan Yang , Hai-Hu Wen

Twisting van der Waals heterostructures to induce correlated many-body states provides a novel tuning mechanism in solid-state physics. In this work, we theoretically investigate the fate of the surface Dirac cone of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Jennifer Cano , Shiang Fang , J. H. Pixley , Justin H. Wilson

The first experimental evidence is presented of the topological insulator state in PbBi$_{2}$Te$_{4}$. A single surface Dirac cone is observed by angle-resolved photoemission spectroscopy (ARPES) with synchrotron radiation. Topological…

Confining two dimensional Dirac fermions on the surface of topological insulators has remained an outstanding conceptual challenge. Here we show that Dirac fermion confinement is achievable in topological crystalline insulators (TCI), which…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Roni Majlin Skiff , Fernando de Juan , Raquel Queiroz , Subramanian Mathimalar , Haim Beidenkopf , Roni Ilan

We present results of comprehensive first-principles and kp-method studies of electronic, magnetic, and topological properties of graphene on a monolayer of CrI$_3$. First, we identify a twist angle between the graphene and CrI$_3$, that…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 M. Jafari , M. Gmitra , A. Dyrdał

Topologically protected edge channels show prospects for quantum devices. They have been found experimentally in two-dimensional (2D) quantum spin Hall insulators (QSHIs), weak topological insulators and higher-order topological insulators…

The surface states of 3D topological insulators in general have negligible quantum oscillations when the chemical potential is tuned to the Dirac points. In contrast, we find that topological Kondo insulators can support surface states with…

Strongly Correlated Electrons · Physics 2021-12-28 Areg Ghazaryan , Emilian M. Nica , Onur Erten , Pouyan Ghaemi

The domain walls between AB- and BA-stacked gapped bilayer graphene have garnered intense interest as they host topologically-protected, valley-polarised transport channels. The introduction of a twist angle between the bilayers and the…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Nina C. Georgoulea , Nuala M. Caffrey , Stephen R. Power

We introduce a coupled-layer construction to describe three-dimensional topological crystalline insulators protected by reflection symmetry. Our approach uses stacks of weakly-coupled two-dimensional Chern insulators to produce topological…

Mesoscale and Nanoscale Physics · Physics 2016-09-27 I. C. Fulga , N. Avraham , H. Beidenkopf , A. Stern

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

We study the influence of step defect on surface states in three-dimensional topological insulators subject to a perpendicular magnetic field. By calculating the energy spectrum of the surface states, we find that Landau levels (LLs) can…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 Yan-Feng Zhou , Ai-Min Guo , Qing-Feng Sun

Using the k.p theory and first-principles simulations, we report that applying a moderate pressure (> 0.6 GPa) on black phosphorus can diminish its band gap and produce one-dimensional and even two-dimensional (2D) Dirac cones,…

Materials Science · Physics 2015-05-28 Ruixiang Fei , Vy Tran , Li Yang

We investigate interaction effects in three dimensional weak topological insulators (TI) with an even number of Dirac cones on the surface. We find that the surface states can be gapped by a surface charge density wave (CDW) order without…

Mesoscale and Nanoscale Physics · Physics 2012-05-15 Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

3D topological insulators, similar to the Dirac material graphene, host linearly dispersing states with unique properties and a strong potential for applications. A key, missing element in realizing some of the more exotic states in…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Yoshinori Okada , Wenwen Zhou , D. Walkup , Chetan Dhital , S. D. Wilson , V. Madhavan

We investigate correlated insulating states in magic-angle twisted bilayer graphene (TBG) by the exact diagonalization method applied to the extended Hubbard model with interaction parameters recently evaluated in the realistic effective…

Strongly Correlated Electrons · Physics 2018-08-08 Masayuki Ochi , Mikito Koshino , Kazuhiko Kuroki

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

Studies of the formation of Landau levels based on the Schr\"odinger equation for electrons constrained to curved surfaces have a long history. These include as prime examples surfaces with constant positive and negative curvature, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Maximilian Fürst , Denis Kochan , Ioachim-Gheorghe Dusa , Cosimo Gorini , Klaus Richter

We find a mixed chirality $d$-wave superconducting state in the coexistence region between antiferromagnetism and interaction-driven superconductivity in lightly doped honeycomb materials. This state has a topological chiral $d+id$-wave…

Superconductivity · Physics 2015-11-04 A. M. Black-Schaffer , K. Le Hur

Based on the first-principles calculations, we reveal that TlN, a simple binary compound with Wurtzite structure, is a three-dimensional (3D) topological insulator (TI) with effectively negative spin-orbit coupling $\lambda_{eff} < 0$,…

Materials Science · Physics 2015-01-14 Xian-Lei Sheng , Zhijun Wang , Rui Yu , Hongming Weng , Zhong Fang , Xi Dai