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While the disorder-induced quantum Hall (QH) effect has been studied previously, the effect ofdisorder potential on microscopic features of the integer QH effect remains unclear, particularly forthe incompressible (IC) strip. In this…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yihao Wang , Katsushi Hashimoto , Toru Tomimatsu , Yoshiro Hirayama

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

We experimentally investigate interference effects in transport across a single incompressible strip at the edge of the quantum Hall system by using a Fabry-Perot type interferometer. We find the interference oscillations in transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. V. Deviatov , B. Marquardt , A. Lorke , G. Biasiol , L. Sorba

The combination of superconductivity and quantum Hall (QH) effect is regarded as a key milestone in advancing topological quantum computation in solid-state systems. Recent quantum interference studies suggest that QH edge states can…

We review the construction of a low-energy effective field theory and its state space for "abelian" quantum Hall fluids. The scaling limit of the incompressible fluid is described by a Chern-Simons theory in 2+1 dimensions on a manifold…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Samuel Bieri , Juerg Froehlich

Topological insulators are a newly discovered phase of matter characterized by a gapped bulk surrounded by novel conducting boundary states. Since their theoretical discovery, these materials have encouraged intense efforts to study their…

We investigate non-linear magneto-transport in a Hall bar device made from a strained InGaAs/InP quantum well: a material system with attractive spintronic properties. From extensive maps of the longitudinal differential resistance (r_xx)…

Disordered Systems and Neural Networks · Physics 2018-10-31 V. Yu , M. Hilke , P. J. Poole , S. Studenikin , D. G. Austing

The influence of the incompressible strips on the integer quantized Hall effect (IQHE) is investigated, considering a cleaved-edge overgrown (CEO) sample as an experimentally realizable sharp edge system. We propose a set of experiments to…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 U. Erkarslan , G. Oylumluoglu , M. Grayson , A. Siddiki

The edge structure of a gate-defined compressible quantum Hall fluids in the filling fraction range 2/3 to 1 is studied using the three reconstructed $e^2/3h$ fractional edge modes of unity filling integer quantum Hall state. We find that…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Suvankar Purkait , Tanmay Maiti , Pooja Agarwal , Suparna Sahoo , Giorgio Biasiol , Lucia Sorba , Biswajit Karmakar

The appearance and evolution of an anomalous conductance plateau at 0.4 (in units of 2e2/h) in an In0.52Al0.48As/InAs quantum point contact (QPC), in the presence of lateral spin-orbit coupling, has been studied at T=4.2K as a function of…

Mesoscale and Nanoscale Physics · Physics 2011-07-14 P. P. Das , K. B. Chetry , N. Bhandari , J. Wan , M. Cahay , R. S. Newrock , S. T. Herbert

The quantum spin Hall (QSH) state, observed in a zero magnetic field in HgTe quantum wells, respects the time-reversal symmetry and is distinct from quantum Hall (QH) states. We show that the QSH state persists in strong quantizing fields…

Mesoscale and Nanoscale Physics · Physics 2010-04-23 G. Tkachov , E. M. Hankiewicz

Using the non-equilibrium Green\noindent 's function method and the Keldysh formalism, we study the effects of spin-orbit interactions and time-reversal symmetry breaking exchange fields on non-equilibrium quantum transport in graphene…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Nezhat Pournaghavi , Cecilia Holmqvist , Anna Pertsova , Carlo Canali

Quantum spin Hall devices with edges much longer than several microns do not display ballistic transport: that is, their measured conductances are much less than $e^2/h$ per edge. We imaged edge currents in InAs/GaSb quantum wells with long…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Eric M. Spanton , Katja C. Nowack , Lingjie Du , Gerard Sullivan , Rui-Rui Du , Kathryn A. Moler

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

Quantum spin Hall (QSH) insulators are materials with nontrivial topological properties, characterized by helical edge currents. In 2D strips, the application of a bias voltage along the edge generates a magnetization that can be measured…

We study the tunneling current between edge states of quantum Hall liquids across a single long contact region, and predict a resonance at a bias voltage set by the scale of the edge velocity. For typical devices and edge velocities…

Mesoscale and Nanoscale Physics · Physics 2009-07-30 B. J. Overbosch , Claudio Chamon

We present recent experimental results confirming previously predicted strong asymmetries of the current distribution in narrow Hall bars under the conditions of the integer quantum Hall effect (IQHE). Using a previously developed…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Rolf R. Gerhardts , Konstantinos Panos , Jürgen Weis

Using charge accumulation imaging, we measure the charge flow across an incompressible strip and follow its evolution with magnetic field. The strip runs parallel to the edge of a gate deposited on the sample and forms at positions where an…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 P. I. Glicofridis , G. Finkelstein , R. C. Ashoori , M. Shayegan

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $(\nu_{\text{top}},\nu_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

It is generally believed that the inter-edge coupling destroys the quantum spin Hall (QSH) effect along with the gap opening at the Dirac points. Using first-principles calculations, we find that the quantized edge transport persists in the…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Yuanchang Li