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We numerically study the three-dimensional (3D) quantum Hall effect (QHE) and magnetothermoelectric transport of Weyl semimetals in the presence of disorder. We obtain a bulk picture that the exotic 3D QHE emerges in a finite range of Fermi…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 R. Ma , D. N. Sheng , L. Sheng

We report ultra-low temperature experiments on the obscure fractional quantum Hall effect (FQHE) at Landau level filling factor $\nu$=5/2 in a very high mobility specimen of $\mu=1.7 \times 10^7$ cm$^2$/Vs. We achieve an electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Pan , J. -S. Xia , V. Shvarts , E. D. Adams , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

We have analyzed the breakdown of the quantum Hall effect in 1 micrometer wide Hall devices fabricated from an exfoliated monolayer graphene transferred on SiOx. We have observed that the deviation of the Hall resistance from its quantized…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Cenk Yanik , Ismet I. Kaya

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor F. Herbut

Spectral analysis of Shubnikov de Haas (SdH) oscillations of magnetoresistance and of Quantum Hall Effect (QHE) measured in quasi-2D highly oriented pyrolytic graphite (HOPG) [Phys. Rev. Lett. 90, 156402 (2003)] reveals two types of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor A. Luk'yanchuk , Yakov Kopelevich

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

Materials Science · Physics 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa

Drude weight, historically associated with the longitudinal Drude conductivity, can be generalized to describe the transverse or Hall component of the extrinsic conductivity tensor. In particular, transverse Drude weights, such as band…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Miaomiao Wei , Longjun Xiang , Fuming Xu , Baigeng Wang , Jian Wang

The integer quantum Hall states at fillings $\nu = 0$ and $|\nu| = 1$ in monolayer graphene have drawn much attention as they are generated by electron-electron interactions. Here we explore aspects of the $\nu = 0$ and $|\nu| = 1$ quantum…

Strongly Correlated Electrons · Physics 2020-11-09 Hank Chen , Matthew R. C. Fitzpatrick , Sujit Narayanan , Bitan Roy , Malcolm P. Kennett

We study the influence of the quantum geometry on the magnetic responses of quadratic band crossing semimetals. More explicitly, we examine the Landau levels, quantum Hall effect, and magnetic susceptibility of a general two-band…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Chang-geun Oh , Jun-Won Rhim , Bohm-Jung Yang

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We analyze thermal transport in the fractional quantum Hall effect (FQHE), employing a Luttinger liquid model of edge states. Impurity mediated inter-channel scattering events are incorporated in a hydrodynamic description of heat and…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

Due to the lack of simulation tools that take into account the actual geometry of complicated quantum Hall samples there are lots of experiments that are not yet fully understood. Already some years ago R. G. Mani recorded a shift of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Christoph Uiberacker , Christian Stecher , Josef Oswald

The transport properties of a rectangular mesoscopic plaquette in the presence of a perpendicular magnetic field are studied in a tight-binding model with randomly distributed traps. The longitudinal and Hall resistances are calculted in…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. Aldea , P. Gartner , M. Nita

The quantum anomalous Hall (QAH) effect - a macroscopic manifestation of chiral band topology at zero magnetic field - has only been experimentally realized by magnetic doping of topological insulators (1 - 3) and delicate design of Moire…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Tianyi Xu , Fan Zhang , R. Thomas Weitz

The quasi-quantized Hall effect (QQHE) is the three-dimensional (3D) counterpart of the integer quantum Hall effect (QHE),exhibited only by two-dimensional (2D) electron systems. It has recently been observed in layered materials,…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Rafał Wawrzyńczak , Stanislaw Galeski , Jonathan Noky , Yan Sun , Claudia Felser , Johannes Gooth

From the scattering of semicoherent-state wavepackets at high magnetic field, we derive analytically the transmission coefficient of electrons in graphene in the quantum Hall regime through a smooth constriction described by a quadratic…

Mesoscale and Nanoscale Physics · Physics 2010-11-13 Martina Flöser , Thierry Champel , Serge Florens

The quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon that manifests as a quantized transverse conductance in response to a longitudinally applied electric field in the absence of an external magnetic field,…

After decades of searching for the dissipationless transport in the absence of any external magnetic field, quantum anomalous Hall effect (QAHE) was recently achieved in magnetic topological insulator (TI) films. However, the universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 Xufeng Kou , Lei Pan , Jing Wang , Yabin Fan , Eun Sang Choi , Wei-Li Lee , Tianxiao Nie , Koichi Murata , Qiming Shao , Shou-Cheng Zhang , Kang L. Wang

We report on the observation of the quantum Hall effect at high temperatures in HgTe quantum wells with a finite band gap and a thickness below and above the critical thickness $d_\textnormal{c}$ that separates a conventional semiconductor…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 T. Khouri , M. Bendias , P. Leubner , C. Brüne , H. Buhmann , L. W. Molenkamp , U. Zeitler , N. E. Hussey , S. Wiedmann