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Gapless surface states that are protected by time reversal symmetry and charge conservation are among the manifestations of 3D topological insulators. In this work we study how electron-electron interaction may lead to spontaneous breaking…

Strongly Correlated Electrons · Physics 2012-06-07 Yuval Baum , Ady Stern

The relation between bulk topological invariants and experimentally observable physical quantities is a fundamental property of topological insulators and superconductors. In the case of chiral symmetric systems in odd spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2013-02-20 Ken Shiozaki , Satoshi Fujimoto

We theoretically study the magnetic proximity effect in the three dimensional (3D) topological insulator/ferromagnetic insulator (TI/FMI) structures in the context of possibility to manage the Dirac helical state in TI. Within continual…

Materials Science · Physics 2014-06-30 V. N. Men'shov , V. V. Tugushev , S. V. Eremeev , P. M. Echenique , E. V. Chulkov

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Xiao-Xiao Zhang , Naoto Nagaosa

We demonstrate advantages of samples made by mechanical stacking of exfoliated van der Waals materials for controlling the topological surface state of a 3-dimensional topological insulator (TI) via interaction with an adjacent magnet…

We study a topological phase of interacting bosons in (3+1) dimensions which is protected by charge conservation and time-reversal symmetry. We present an explicit lattice model which realizes this phase and which can be studied in…

Statistical Mechanics · Physics 2014-12-31 Scott Geraedts , Olexei Motrunich

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

The interplay between quantum interference, electron-electron interaction (EEI), and disorder is one of the central themes of condensed matter physics. Such interplay can cause high-order magnetoconductance (MC) corrections in…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Gang Shi , Fan Gao , Zhilin Li , Rencong Zhang , Igor Gornyi , Dmitri Gutman , Yongqing Li

The field of topological insulators (TI) was sparked by the prediction of the quantum spin Hall effect (QSHE) in time reversal invariant systems, such as spin-orbit coupled monolayer graphene. Ever since, a variety of monolayer crystals…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 Sanfeng Wu , Valla Fatemi , Quinn D. Gibson , Kenji Watanabe , Takashi Taniguchi , Robert J. Cava , Pablo Jarillo-Herrero

Three-dimensional topological insulators (TIs) have emerged as a unique state of quantum matter and generated enormous interests in condensed matter physics. The surfaces of a three dimensional (3D) TI are composed of a massless Dirac cone,…

We develop a theory of the magneto-optical and magneto-electric properties of a topological insulator thin film in the presence of a quantizing external magnetic field. We find that low-frequency magneto-optical properties depend only on…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Wang-Kong Tse , A. H. MacDonald

Topological insulators have been predicted to exhibit a variety of interesting phenomena including a quantized magnetoelectric response and novel spintronics effects due to spin textures on their surfaces. However, experimental observation…

In this work, we propose a ferromagnetic Bi$_2$Se$_3$ as a candidate to hold the coexistence of Weyl- and nodal-line semimetal phases, which breaks the time reversal symmetry. We demonstrate that the type-I Weyl semimetal phase, type-I-,…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 M. N. Chen , W. C. Chen , Yu Zhou

We develop a simple model of surface states for topological insulators, developing matching relations for states on surfaces of different orientations. The model allows one to write simple Dirac Hamiltonians for each surface, and to…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 L. Brey , H. A. Fertig

The concept of topological insulator (TI) has introduced a new point of view to condensed-matter physics, relating a priori unrelated subfields such as quantum (spin, anomalous) Hall effects, spin-orbit coupled materials, some classes of…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Yukinori Yoshimura , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

The band inversion of topological materials in three spatial dimensions is intimately connected to the parity anomaly of two-dimensional massless Dirac fermions. At finite magnetic fields, the parity anomaly reveals itself as a non-zero…

We propose a realization of a quantum Hall effect (QHE) in a second-order topological insulator (SOTI) in three dimensions (3D), which is mediated by hinge states on a torus surface. It results from the nontrivial interplay of the material…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 Zhe Hou , Clara S. Weber , Dante M. Kennes , Daniel Loss , Herbert Schoeller , Jelena Klinovaja , Mikhail Pletyukhov

Inducing magnetism onto a topological crystalline insulator (TCI) has been predicted to result in several novel quantum electromagnetic effects. This is a consequence of the highly strain-sensitive band topology of such symmetry-protected…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Badih A. Assaf , Ferhat Katmis , Peng Wei , Cui-Zu Chang , Biswarup Satpati , Jagadeesh S. Moodera , Don Heiman

Two-dimensional (2D) topological insulators (TIs) hold promise for applications in spintronics based on the fact that the propagation direction of edge electrons of a 2D TI is robustly linked to their spin origination. Here, with the use of…

Materials Science · Physics 2015-09-02 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

We theoretically study the magnetoresistance (MR) of two-dimensional massless Dirac electrons as found on the surface of three-dimensional topological insulators (3D TIs) that is capped by a ferromagnetic insulator (FI). We calculate charge…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Takahiro Chiba , Saburo Takahashi , Gerrit E. W. Bauer