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The identification of unconventional pairing in two-dimensional materials is a central challenge in modern condensed matter physics. While chiral p-wave superconductivity offers a promising platform for topological quantum computing, its…

Superconductivity · Physics 2026-05-22 A. N. Osipov , V. N. Ivanova , V. M. Kovalev , I. G. Savenko

The integer quantum Hall effect is analysed using a transport mechanism with a semi-classic wave packages of electrons in this paper. A strong magnetic field perpendicular to a slab separates the electron current into two branches with…

General Physics · Physics 2016-09-21 W. LiMing , Tan Hui

Electrical and thermal conductances of a quantum Hall bar reflect the topological structure of the incompressible bulk phase. Here we show that noise of electrical current carried through the edge evidences the interplay between these two…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jinhong Park , Alexander D. Mirlin , Bernd Rosenow , Yuval Gefen

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

Understanding topological phases of matter is essential for advancing both the fundamental theory and practical applications of condensed matter physics. Recently, a theoretical framework for a quantum Hall system with an expanding edge…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Yuuki Sugiyama , Tokiro Numasawa

We examine the longitudinal, non-linear, current-voltage characteristics near the quantum Hall liquid to insulator transition and show that a simple mapping exists between the characteristics on the quantum Hall side and those on the…

Condensed Matter · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

The nonequilibrium transfer of the energy between electrons of counter-propagating quasi-one-dimensional systems has been perturbatively calculated for edge channels in a two-dimensional system in the integer quantum Hall effect. The…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 M. G. Prokudina , V. S. Khrapai

The integer quantum Hall effect (QHE) belongs to the most fundamental phenomena of solid state physics and has an important application as resistance standard. It serves as a basis to understand the fractional, anomalous or spin QHEs,…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 Serkan Sirt , Matthias Kamm , Vladimir Y. Umansky , Stefan Ludwig

We study the Coulomb drag between two spatially separated electron systems in a strong magnetic field, one of which exhibits the quantum Hall effect. At a fixed temperature, the drag mimics the behavior of $\sigma_{xx}$ in the quantum Hall…

Condensed Matter · Physics 2009-10-22 Efrat Shimshoni , S. L. Sondhi

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

Experiments on a nearly spin degenerate two-dimensional electron system reveals unusual hysteretic and relaxational transport in the fractional quantum Hall effect regime. The transition between the spin-polarized (with fill fraction $\nu =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Eom , H. Cho , W. Kang , K. L. Campman , A. C. Gossard , M. Bichler , W. Wegscheider

Transport measurement, which applies an electric field and studies the migration of charged particles, i.e. the current, is the most widely used technique in condensed matter studies. It is generally assumed that the quantum phase remains…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Mengmeng Wu , Xiao Liu , Renfei Wang , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Xi Lin , Yang Liu

Frictional drag measurements revealing anomalously large dissipation at the transition between the weakly- and strongly-coupled regimes of a bilayer two-dimensional electron system at total Landau level filling factor $\nu_T =1$ are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state bands due to a Hall electric field occurs and causes the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenzo Ishikawa , Nobuki Maeda , Tetsuyuki Ochiai , Hisao Suzuki

Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Michael R. Geller , Daniel Loss

In condensed matter physics, one of the major topics is to find out and classify interesting novel topological matters and phenomena. Topologically nontrivial systems can also be achieved by using periodical driving fields. On the other…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Jin-Yu Zou , Bang-Gui Liu

The quantum anomalous Hall effect in magnetic topological insulators has been recognized as a promising platform for applications in quantum metrology. The primary reason for this is the electronic conductance quantization at zero external…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

The acoustoelectric current, J, induced in a ballistic point contact (PC) by a surface acoustic wave is calculated in the presence of a perpendicular magnetic field, B. It is found that the dependence of the current on the Fermi energy in…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , Y. Levinson , P. Wolfle

We present the experimental realization of different approaches to increase the amount of quantized current which is driven by surface acoustic waves through split gate structures in a two dimensional electron gas. Samples with driving…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Ebbecke , G. Bastian , M. Blöcker , K. Pierz , F. J. Ahlers