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Three-dimensional topological insulators are characterized by insulating bulk state and metallic surface state involving Dirac fermions that behave as massless relativistic particles. These Dirac fermions are responsible for achieving a…

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

We show that in the new topological-insulator compound Bi_{1.5}Sb_{0.5}Te_{1.7}Se_{1.3} one can achieve a surfaced-dominated transport where the surface channel contributes up to 70% of the total conductance. Furthermore, it was found that…

Materials Science · Physics 2011-07-28 A. A. Taskin , Zhi Ren , Satoshi Sasaki , Kouji Segawa , Yoichi Ando

The half-quantized anomalous Hall conductance (AHC) in topological materials is a condensed matter physics realization of the parity anomaly of (2+1) quantum field theory and an important challenge for both theoretical and experimental…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Shahid Sattar , Roman Stepanov , Alexander Tyner , M. F. Islam , A. H. MacDonald , C. M. Canali

The unique electronic properties of the surface electrons in a topological insulator are protected by time-reversal symmetry. Circularly polarized light naturally breaks time-reversal symmetry, which may lead to an exotic surface quantum…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Y. H. Wang , H. Steinberg , P. Jarillo-Herrero , N. Gedik

Topological insulators are a novel class of quantum matter with a gapped insulating bulk yet gapless spin helical Dirac fermion conducting surface states. Here, we report local and non-local electrical and magneto transport measurements in…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Yang Xu , Ireneusz Miotkowski , Yong P. Chen

The discovery of the fractional quantum Hall effect in GaAs-based semiconductor devices has lead to new advances in condensed matter physics, in particular the possibility for exotic, topological phases of matter that possess fractional,…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Z. Papic , D. A. Abanin , Y. Barlas , R. N. Bhatt

Topological magnets are a new family of quantum materials providing great potential to realize emergent phenomena, such as quantum anomalous Hall effect and axion-insulator state. Here we present our discovery that stoichiometric…

The aim of this habilitation thesis is to present recent results, obtained during the period 2012-2017, related to interaction effects in condensed matter physics systems such as planar Dirac liquids, e.g., graphene and graphene-like…

Mesoscale and Nanoscale Physics · Physics 2018-10-22 S. Teber

We study transport across a time-dependent magnetic barrier present on the surface of a three-dimensional topological insulator. We show that such a barrier can be implemented for Dirac electrons on the surface of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Adithi Udupa , K. Sengupta , Diptiman Sen

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

We investigate the effect of a vertical electric field on a Dirac semimetal thin film. We show that through the interplay between the quantum confinement effect and the field-induced coupling between sub-bands, the sub-band gap can be tuned…

Mesoscale and Nanoscale Physics · Physics 2015-10-05 Hui Pan , Meimei Wu , Ying Liu , Shengyuan A. Yang

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

Based on the Dirac equations in the two-dimensional $\pi-$ flux model, we study the interaction effects both in nontrivial gapped and gapless Dirac equations with numerical exact diagonalization method. In the presence of the nearest and…

Strongly Correlated Electrons · Physics 2015-06-15 Yongfei Jia , Huaiming Guo , Ziyu Chen , Shun-Qing Shen , Shiping Feng

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

While some of the most elegant applications of topological insulators, such as quantum anomalous Hall effect, require the preservation of Dirac surface states in the presence of time-reversal symmetry breaking, other phenomena such as…

Materials Science · Physics 2020-07-15 Slimane Laref , Sumit Ghosh , Evgeny Y. Tsymbal , Aurelien Manchon

We consider the proximity effect between Dirac states at the surface of a topological insulator and a ferromagnet with easy plane anisotropy, which is described by the \emph{XY}-model and undergoes a Berezinskii-Kosterlitz-Thouless (BKT)…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Hilary M. Hurst , Dmitry K. Efimkin , Victor Galitski

The quantum anomalous Hall effect (QAHE), characterized by dissipationless quantized edge transport, relies crucially on a non-trivial topology of the electronic bulk bandstructure and a robust ferromagnetic order that breaks time-reversal…

Materials Science · Physics 2019-05-01 M. F. Islam , Anna Pertsova , C. M. Canali

Using THz spectroscopy in external magnetic fields we investigate the low-temperature charge dynamics of strained HgTe, a three dimensional topological insulator. From the Faraday rotation angle and ellipticity a complete characterization…

Strongly Correlated Electrons · Physics 2013-03-27 A. M. Shuvaev , G. V. Astakhov , G. Tkachov , C. Brüne , H. Buhmann , L. W. Molenkamp , A. Pimenov
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