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We propose a phenomenological model that describes counterflow and drag experiments with quantum Hall bilayers in a \nu_T=1 state. We consider the system consisting of statistically distributed areas with local total filling factors…

Strongly Correlated Electrons · Physics 2015-05-18 D. V. Fil , S. I. Shevchenko

The beauty of quantum Hall (QH) effect is the metrological precision of Hall resistance quantization that originates from the topological edge states. Understanding the factors that lead to quantization breakdown not only provides important…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Weiyan Lin , Yang Feng , Yongchao Wang , Zichen Lian , Hao Li , Yang Wu , Chang Liu , Yihua Wang , Jinsong Zhang , Yayu Wang , Xiaodong Zhou , Jian Shen

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

We use an atomic force microscope tip as a local gate to study the scattering between edge channels in a 2D electron gas in the quantum Hall regime. The scattering is dominated by individual, microscopic scattering centers, which we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael T. Woodside , Chris Vale , Paul L. McEuen , C. Kadow , K. D. Maranowski , A. C. Gossard

Quantum Hall edge channels offer an efficient and controllable platform to study quantum transport in one dimension. Such channels are a prospective tool for the efficient transfer of quantum information at the nanoscale, and play a vital…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 T. Krähenmann , S. G. Fischer , M. Röösli , T. Ihn , C. Reichl , W. Wegscheider , K. Ensslin , Y. Gefen , Y. Meir

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher , J. Polchinski

We present a detailed microscopic study of quasi-ballistic transport in deep submicron semiconductor channels. In particular, we study the crossover between the diffusive and ballistic regimes of transport and identify signatures in the…

Materials Science · Physics 2007-05-23 Dan Csontos , Sergio E. Ulloa

We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a three-terminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2022-08-18 Lucas H. Oliveira , Anderson L. R. Barbosa , Marcel Novaes

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 H. Aita , L. Arrachea , C. Naón , E. Fradkin

Filling factor $\nu=1$ incompressible states in ideal bilayer quantum Hall systems have spontaneous interlayer phase coherence and can be regarded either as easy-plane pseudospin ferromagnets or as condensates of excitons formed from…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi , Allan H. MacDonald

We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting, quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcus Kollar , Subir Sachdev

We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau level, in the presence of an inert background of the other…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. Shahar , D. C. Tsui , M. Shayegan , E. Shimshoni , S. L. Sondhi

The quantum Hall effect is studied in the topological insulator BiSbTeSe$_2$. By employing top- and back-gate electric fields at high magnetic field, the Landau levels of the Dirac cones in the top and bottom topological surface states can…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Chuan Li , Bob de Ronde , Artem Nikitin , Yingkai Huang , Mark S. Golden , Anne de Visser , Alexander Brinkman

Experimental studies of the transitions from a primary quantum Hall (QH) liquid at filling factor 1/k (with k an odd integer) to the insulator have indicated a ``quantized Hall insulator'' (QHI) behavior: while the longitudinal resistivity…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Efrat Shimshoni

In this letter we study the Hall conductivity in holographic models where translational invariance is broken by a lattice. We show that generic holographic theories will display a different temperature dependence in the Hall angle as to the…

High Energy Physics - Theory · Physics 2015-06-19 Mike Blake , Aristomenis Donos

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

Quantum Gases · Physics 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

Edge states reflect the key physical properties yet are difficult to probe individually, particularly when several states are present at an edge. We present momentum resolved tunneling spectroscopy between a quantum well and a quantum wire…

We investigate the emergence of long-range electron hopping mediated by cavity vacuum fields in disordered quantum Hall systems. We show that the counter-rotating (anti-resonant) light-matter interaction produces an effective hopping…

Mesoscale and Nanoscale Physics · Physics 2021-10-29 Cristiano Ciuti

The disorder driven quantum Hall to insulator transition is investigated for a two-dimensional lattice system. We consider a Gaussian correlated random potential, study the behaviour of the current carrying states and trace their…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Th. Koschny , L. Schweitzer

The transport properties on the two-dimensional surface of coupled multilayer heterostructures are studied in the integer quantum Hall states. We emphasize the criticality of the surface state and the phase coherent transport properties in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vasiliki Plerou , Ziqiang Wang
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