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Topological insulators represent a novel state of matter with surface charge carriers having a massless Dirac dispersion and locked helical spin polarization. Many exciting experiments have been proposed by theory, yet, their execution have…

Materials Science · Physics 2014-10-27 Katharina Höfer , Christoph Becker , Diana Rata , Jesse Swanson , Peter Thalmeier , Liu Hao Tjeng

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

While evidence of a topologically nontrivial surface state has been identified in surface-sensitive measurements of Bi2Se3, a significant experimental concern is that no signatures have been observed in bulk transport. In a search for such…

We use Dirac quantization of flux to study fractional charges and axion angles \theta in interacting topological insulators with gapless surface modes protected by time-reversal symmetry. In interacting topological insulators, there are two…

Strongly Correlated Electrons · Physics 2010-10-12 K. -S. Park , H. Han

The unconventional (half-integer) quantum Hall effect for a single species of Dirac fermions is analyzed. We discuss possible experimental measurements of the half-integer Hall conductance $g_{xy}$ of topological insulator surface states…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 E. J. König , P. M. Ostrovsky , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

We study transport properties of HgTe quantum wells with critical well thickness, where the band gap is closed, and the low energy spectrum is described by a single Dirac cone. In this work, we examined both macroscopic and micron-sized…

Mesoscale and Nanoscale Physics · Physics 2022-06-16 G. M. Gusev , A. D. Levin , D. A. Kozlov , Z. D. Kvon , N. N. Mikhailov

Magnetic materials exhibiting topological Dirac fermions are attracting significant attention for their promising technological potential in spintronics. In these systems, the combined effect of the spin-orbit coupling and magnetic order…

The integer quantum Hall effect is a topological state of quantum matter in two dimensions, and has recently been observed in three-dimensional topological insulator thin films. Here we study the Landau levels and edge states of surface…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Song-Bo Zhang , Hai-Zhou Lu , Shun-Qing Shen

Spectroscopy of discrete Landau levels (LLs) in bulk-insulating three-dimensional topological insulators (3D TIs) in perpendicular magnetic field characterizes the Dirac nature of their surface states. Despite a number of studies…

Mesoscale and Nanoscale Physics · Physics 2020-04-13 Su Kong Chong , Ryuichi Tsuchikawa , Jared Harmer , Taylor D. Sparks , Vikram V. Deshpande

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

Three-dimensional (3D) topological insulators (TIs) are new forms of quantum matter that are characterized by their insulating bulk state and exotic metallic surface state, which hosts helical Dirac fermions1-2. Very recently, BiTeCl, one…

Strongly Correlated Electrons · Physics 2014-01-28 F. X. Xiang , X. L. Wang , S. X. Dou

We show that burying of the Dirac point in semiconductor-based quantum-spin-Hall systems can generate unexpected robustness of edge states to magnetic fields. A detailed ${\bf k\cdot p}$ band-structure analysis reveals that InAs/GaSb and…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 Rafal Skolasinski , Dmitry I. Pikulin , Jason Alicea , Michael Wimmer

The quantum Hall effect is studied in the topological insulator BiSbTeSe$_2$. By employing top- and back-gate electric fields at high magnetic field, the Landau levels of the Dirac cones in the top and bottom topological surface states can…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Chuan Li , Bob de Ronde , Artem Nikitin , Yingkai Huang , Mark S. Golden , Anne de Visser , Alexander Brinkman

We study the quantum Hall effect (QHE) in the three-dimensional topological insulator HgTe, which features topological Dirac-type surface states in a bulk gap opened by strain. Despite the co-existence of multiple carrier subsystems, the…

Mesoscale and Nanoscale Physics · Physics 2024-10-25 S. Hartl , L. Freund , M. Kühn , J. Ziegler , E. Richter , W. Himmler , J. Bärenfänger , D. A. Kozlov , N. N. Mikhailov , J. Weis , D. Weiss

Magnetotransport measurements are a popular way of characterizing the electronic structure of topological materials and often the resulting datasets cannot be described by the well-known Drude model due to large, non-parabolic…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 J. C. de Boer , D. P. Leusink , A. Brinkman

Magneto-transport properties of (111)-oriented single-crystal thin films of SnTe were investigated. SnTe (111) thin films were epitaxially grown on a BaF2 substrate by molecular beam epitaxy. By optimizing the growth conditions and the…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Ryota Akiyama , Kazuki Fujisawa , Tomonari Yamaguchi , Shinji Kuroda

By applying the conventional two-liquid model to the magnetoresistivity tensor, we reveal a record-high carrier mobility for surface states in tetradymite topological insulators ($\sim$ 20000 cm$^2$/Vs) in both bulk crystals and thin flakes…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 M. V. Pugachev , A. E. Borisov , A. V. Shupletsov , V. O. Sakhin , E. F. Kukovitsky , A. Yu. Kuntsevich

This article reviews recent theoretical and experimental work on transport due to the surface states of three-dimensional topological insulators. The theoretical focus is on longitudinal transport in the presence of an electric field,…

Mesoscale and Nanoscale Physics · Physics 2012-03-29 Dimitrie Culcer

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 present a magneto-optical study of the three-dimensional topological insulator, strained HgTe using a technique which capitalizes on advantages of time-domain spectroscopy to amplify the signal from the surface states. This measurement…