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We review low and high field magnetotransport in 80 nm-thick strained HgTe, a material that belongs to the class of strong three-dimensional topological insulators. Utilizing a top gate, the Fermi level can be tuned from the valence band…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 Johannes Ziegler , Dmitriy A. Kozlov , Nikolay N. Mikhailov , Sergey A. Dvoretsky , Dieter Weiss

Evidence of both fractional and integer quantum hall effects (QHE) in three dimensional bulk replica opal (250nm diameter) structures of non-crystalline carbon are presented. In a remarkably soft quantum limit of ~ 40K temperature and about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Timir Datta , Michael Bleiweiss , Anca Lungu , Ming Yin , Zafar Iqbal

We report on a temperature-induced transition from a conventional semiconductor to a two-dimensional topological insulator investigated by means of magnetotransport experiments on HgTe/CdTe quantum well structures. At low temperatures, we…

We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. T. N. de Lang , L. A. Ponomarenko , A. de Visser , A. M. M. Pruisken

The fractional quantum Hall effect (FQHE) stands as a quintessential manifestation of an interacting two-dimensional electron system. One of FQHE's most fundamental characteristics is the energy gap separating the incompressible ground…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We report on magnetospectroscopy of HgTe quantum wells in magnetic fields up to 45 T in temperature range from 4.2 K up to 185 K. We observe intra- and inter-band transitions from zero-mode Landau levels, which split from the bottom…

We have studied the temperature dependence of the integer quantum Hall transitions in the molecular crystal (TMTSF)$_2$PF$_6$. We find that the transition width between the quantum Hall plateaus does not exhibit the universal power-law…

Condensed Matter · Physics 2009-10-28 S. Valfells , J. S. Brooks , Z. Wang , S. Takasaki , J. Yamada , H. Anzai , M. Tokumoto

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

Quantum Anomalous Hall (QAH) state in six quintuple layer Cr$_{0.1}$(Bi$_{0.2}$Sb$_{0.8}$)$_{1.9}$Te$_3$ thin films were studied through scanning tunneling spectroscopy (STS) and electrical transport measurements. While the surface state is…

We report the studies of high-quality HgTe/(Cd,Hg)Te quantum wells (QWs) with a width close to the critical one $d_c$, corresponding to the topological phase transition and graphene like band structure in view of their applications for…

Quantum anomalous Hall effect (QAHE) was discovered a decade ago, but is still not utilized beyond a handful of research groups, due to numerous limitations such as extremely low temperature, electric field-effect gating requirement, small…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Hee Taek Yi , Deepti Jain , Xiong Yao , Seongshik Oh

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We observe fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu=1/2$ in two-dimensional hole systems confined to GaAs quantum wells of width 30 to 50 nm and having bilayer-like charge distributions.…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Yang Liu , A. L. Graninger , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

We report on the longitudinal and Hall resistivities of a HgTe quantum well with inverted energy spectrum (dQW = 20.3 nm) measured in the quantum Hall (QH) regime at magnetic fields up to 9 T and temperatures 2-50 K. The temperature…

Recently, this long-sought quantum anomalous Hall effect was realized in the magnetic topological insulator. However, the requirement of an extremely low temperature (approximately 30 mK) hinders realistic applications. Based on…

Materials Science · Physics 2014-12-17 Shu-chun Wu , Guangcun Shan , Binghai Yan

It is shown that the observed Quantum Hall Effect in epitaxial layers of heavily doped n-type GaAs with thickness (50-140 nm) larger the mean free path of the conduction electrons (15-30 nm) and, therefore, with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. S. Murzin , I. Claus , A. G. M. Jansen , N. T. Moshegov , A. I. Toropov , K. Eberl

We examine the magnetic field driven insulator-quantum Hall-insulator transitions of the two dimensional hole gas in a Ge/SiGe quantum well. We observe direct transitions between low and high magnetic field insulators and the $\nu=1$…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Hilke , D. Shahar , S. H. Song , D. C. Tsui , Y. H. Xie , Don Monroe

The Quantum Hall Effect (QHE) is a prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions, and disorder. The disorder enables the formation of localized states in the…

Mesoscale and Nanoscale Physics · Physics 2023-09-18 Ron Aharon Melcer , Avigail Gil , Arup-Kumar Paul , Priya Tiwary , Vladimir Umansky , Moty Heiblum , Yuval Oreg , Ady Stern , Erez Berg

We study the quantum Hall states in the lowest Landau level for a single wide quantum well. Due to a separation of charges to opposite sides of the well, a single wide well can be modelled as an effective two level system. We provide…

Condensed Matter · Physics 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari