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Scaling properties of the quantum Hall metal-insulator transition are severely affected by finite size effects in small systems. Surprisingly, despite the narrow spatial range where probability structure functions exhibit multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Moriconi , Ana L. C. Pereira , P. A. Schulz

We report a combined theoretical and experimental investigation of magnetic proximity and Hall transport in Pt/Cr bilayers. Density functional theory indicates that an interfacial magnetization can be induced in the Pt layer and a strong…

We report transport studies on a three dimensional, 70 nm thick HgTe layer, which is strained by epitaxial growth on a CdTe substrate. The strain induces a band gap in the otherwise semi-metallic HgTe, which thus becomes a three dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 C. Brüne , C. X. Liu , E. G. Novik , E. M. Hankiewicz , H. Buhmann , Y. L. Chen , X. L. Qi , Z. X. Shen , S. C. Zhang , L. W. Molenkamp

We have studied magnetotransport of a degenerate two-dimensional electron gas in a Hall sample in the Knudsen regime, when the mean free paths of electrons with respect to their collisions with each other and with impurities are much larger…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Yu. O. Alekseev , A. P. Dmitriev

One-dimensional (1D) quasicrystals exhibit physical phenomena associated with the 2D integer quantum Hall effect. Here, we transcend dimensions and show that a previously inaccessible phase of matter --- the 4D integer quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2013-12-03 Yaacov E. Kraus , Zohar Ringel , Oded Zilberberg

The spectral properties of a disordered electronic system at the metal-insulator transition point are investigated numerically. A recently derived relation between the anomalous diffusion exponent $\eta$ and the spectral compressibility…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Rochus Klesse , Marcus Metzler

The quantum anomalous Hall effect is a intriguing topological nontrivial phase arising from spontaneous magnetization and spin-orbit coupling. However, the tremendously harsh realizing requirements of the quantum anomalous Hall effects in…

Computational Physics · Physics 2020-02-18 Ping Li , Tian-Yi Cai

We report on the scaling behavior of V-doped (Bi,Sb)$_2$Te$_3$ samples in the quantum anomalous Hall regime for samples of various thickness. While previous quantum anomalous Hall measurements showed the same scaling as expected from a…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 S. Grauer , K. M. Fijalkowski , S. Schreyeck , M. Winnerlein , K. Brunner , R. Thomale , C. Gould , L. W. Molenkamp

The quantum anomalous Hall (QAH) effect is predicted to possess, at zero magnetic field, chiral edge channels that conduct spin polarized current without dissipation. While edge channels have been observed in previous experimental studies…

Mesoscale and Nanoscale Physics · Physics 2015-08-20 Cui-Zu Chang , Weiwei Zhao , Duk Y. Kim , Peng Wei , J. K. Jain , Chaoxing Liu , Moses H. W. Chan , Jagadeesh S. Moodera

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

Mesoscale and Nanoscale Physics · Physics 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

In most topological insulators, the valence and conduction band appear in reverse or inverted order compared to an equivalent insulator with isolated atoms. Here, we explore a different route towards topologically nontrivial states that may…

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

We study the critical properties of the quantum anomalous Hall (QAH) plateau transition in magnetic topological insulators. We introduce a microscopic model for the plateau transition in QAH effect at the coercive field and then map it to…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Jing Wang , Biao Lian , Shou-Cheng Zhang

We report on the formation of critical states in disordered graphene, at the origin of variable and unconventional transport properties in the quantum Hall regime, such as a zero-energy Hall conductance plateau in the absence of an energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Stephan Roche

The detailed derivation of a theory for transport in quasi-two-dimensional metals, with small-angle elastic scattering and angle-independent inelastic scattering is presented. The transport equation is solved for a model Fermi surface…

Strongly Correlated Electrons · Physics 2009-11-10 Elihu Abrahams , C. M. Varma

We report magnetotransport studies on a gated strained HgTe device. This material is a threedimensional topological insulator and exclusively shows surface state transport. Remarkably, the Landau level dispersion and the accuracy of the…

We report simultaneous transport and scanning microwave impedance microscopy to examine the correlation between transport quantization and filling of the bulk Landau levels in the quantum Hall regime in gated graphene devices. Surprisingly,…

We consider the two-dimensional chiral metal, which exists at the surface of a layered, three-dimensional sample exhibiting the integer quantum Hall effect. We calculate its magnetoresistance in response to a component of magnetic field…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 J. T. Chalker , S. L. Sondhi

We theoretically investigate emergent quantum phases in the thin film geometries of the pyrochore iridates, where a number of exotic quantum ground states are proposed to occur in bulk materials as a result of the interplay between electron…

Strongly Correlated Electrons · Physics 2016-07-19 Kyusung Hwang , Yong Baek Kim

The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 Feng Lu , Yuan Zhou , Jin An , Chang-De Gong