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We present measurements of momentum-resolved magneto-tunneling from a perpendicular two-dimensional (2D) contact into integer quantum Hall (QH) edges at a sharp edge potential created by cleaved edge overgrowth. Resonances in the tunnel…

Condensed Matter · Physics 2009-11-10 M. Huber , M. Grayson , D. Schuh , M. Bichler , W. Biberacher , W. Wegscheider , G. Abstreiter

We study the electronic transport across an electrostatically-gated lateral junction in a HgTe quantum well, a canonical 2D topological insulator, with and without applied magnetic field. We control carrier density inside and outside a…

We develop a simple model of surface states for topological insulators, developing matching relations for states on surfaces of different orientations. The model allows one to write simple Dirac Hamiltonians for each surface, and to…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 L. Brey , H. A. Fertig

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

We derive a microscopic transport theory of multiterminal hybrid structures in which a superconductor is connected to several spin-polarized electrodes. We discuss the non-perturbative physics of extended contacts, and show that it can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Mélin , D. Feinberg

Studies of the 3D quantum Hall effect (QHE) have primarily emphasized transport features that mimic the well-established 2D QHE. In this work, we show that qualitatively new features arise when an in-plane magnetic field is applied to a 3D…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Ming Lu , Xiao-Xiao Zhang

Transport in a two-dimensional electron gas subject to an external magnetic field is analyzed in the presence of a \textit{longitudinal barrier.} We show that \textit{quantum interference of the edge states} bound by the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. M. Kadigrobov , M. V. Fistul , K. B. Efetov

In this work we investigate an unusual transport phenomenon observed in two-dimensional electron gas under integer quantum Hall effect conditions. Our calculations are based on the screening theory, using a semi-analytical model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 S. Erden Gulebaglan , S. B. Kalkan , S. Sirt , E. M. Kendirlik , A. Siddiki

Ballistic transport of hot electrons in a quantum Hall edge channel is attractive for studying electronic analog of quantum optics, where the edge potential profile is an important parameter that governs the charge velocity and scattering…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Shunya Akiyama , Taichi Hirasawa , Yuya Sato , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

We discuss the role of direct Coulomb interaction on the bulk insulator of the integer quantized Hall effect that bridges the topological insulators and the conductance quantization. We investigate the magneto-transport properties of a…

Mesoscale and Nanoscale Physics · Physics 2016-08-11 A. Yıldız , D. Eksi , A. Siddiki

The edge states of a two-dimensional quantum spin Hall (QSH) insulator form a one-dimensional helical metal which is responsible for the transport property of the QSH insulator. Conceptually, such a one-dimensional helical metal can be…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 Yongjin Jiang , Feng Lu , Feng Zhai , Tony Low , Jiangping Hu

It has been demonstrated that topological quantum spin Hall (QSH) state exist in twisted bilayers of transition metal dichalcogenides. However, a comprehensive theoretical characterization of the topological edge states remains a topic of…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Hao He , Zhao Gong , Shuai Li , Jian-Jun Liu , Hui-Ying Mu , Xing-Tao An

We have conducted an experimental study of the linear transport properties of the magnetic-field induced insulating phase which terminates the quantum Hall (QH) series in two dimensional electron systems. We found that a direct and simple…

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

The localization properties of electron states in the quantum Hall regime are reviewed. The random Landau model, the random matrix model, the tight-binding Peierls model, and the network model of Chalker and Coddington are introduced.…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Bernhard Kramer , Stefan Kettemann , Tomi Ohtsuki

Experiments reveal that a confined electron system with two equally-populated layers at zero magnetic field can spontaneously break this symmetry through an interlayer charge transfer near the magnetic quantum limit. New fractional quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. C. Manoharan , Y. W. Suen , T. S. Lay , M. B. Santos , M. Shayegan

We study interacting GaAs bilayer hole systems, with very small interlayer tunneling, in a counterflow geometry where equal currents are passed in opposite directions in the two, independently contacted layers. At low temperatures, both the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Tutuc , M. Shayegan , D. A. Huse

We report real-time detection of longitudinal and transverse transport responses across distinct frequency bands in a ferromagnetic filling factor $\nu$ = 1 integer quantum Hall state. By tuning $\nu$, we simultaneously access the evolution…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Hoai Anh Ho , Jian Huang , L. N. Pfeiffer , K. W. West

We study experimentally the transport properties of "inverted" semiconductor HgTe-based quantum well, which is related to the two-dimensional topological insulator, in diffusive transport regime. We perform nonlocal electrical measurements…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. M. Gusev , Z. D. Kvon , O. A. Shegai , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

We observe nearly vanishing Hall resistances for integer filling factors in a counterflow (CF) experiment on a density balanced 2D bilayer system. Filling factor dependent equilibration lengths demonstrate enhanced 1D coupling via…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 C. Marty , C. Reichl , S. Parolo , I. Grandt-Ionita , J. Scharnetzky , W. Dietsche , W. Wegscheider

We present a theoretical study of the magnetic band structure of conduction and valence states in Quantum Well Wires in high magnetic fields. We show that hole mixing results in a very complex behavior of valence edge states with respect to…

Condensed Matter · Physics 2009-10-28 G. Goldoni , A. Fasolino
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