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A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

We present a model of dissipative transport in the fractional quantum Hall regime. Our model takes account of tunneling through saddle points in the effective potential for excitations created by impurities. We predict the temperature range…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 N. d'Ambrumenil , B. I. Halperin , R. H. Morf

The Ueda-Guinea model of a dissipative tunnel junction is investigated. This model accounts for final state effects associated with single-electron tunneling. A quantum phase transition emerges, marking a boundary between insulating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Scott Drewes , Daniel P. Arovas , Scot Renn

Bilayer quantum Hall states support a flow of nearly dissipationless staggered current which can only decay through collective channels. We study the dominant finite-temperature dissipation mechanism which in narrow bars is driven by…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jordan Kyriakidis , Leo Radzihovsky

Quantum Hall bilayer systems at filling fractions near \nu = 1/2 + 1/2 undergo a transition from a compressible phase with strong intralayer correlation to an incompressible phase with strong interlayer correlations as the layer separation…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 Gunnar Moller , Steven H Simon , Edward H Rezayi

An effective field theoretic description of $\nu=1$ bilayer electron systems stabilized by Coulomb repulsion in a single wide quantum well is examined using renormalization group techniques. The system is found to undergo a crossover from a…

Condensed Matter · Physics 2009-10-31 M. Abolfath , Ramin Golestanian , T. Jungwirth

Mean-field theory predicts that bilayer quantum Hall systems at odd integer total filling factors can have stripe ground states in which the top Landau level is occupied alternately by electrons in one of the two layers. We report on an…

Strongly Correlated Electrons · Physics 2009-11-07 Emiliano Papa , John Schliemann , Allan H. MacDonald , Matthew P. A. Fisher

We show that a quantum Hall bilayer with the total filling $\nu = 1$ should exhibit a dynamical regime similar to the flux-flow in large Josephson junctions. This analogy may explain a conspicuous peak in the interlayer tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael M. Fogler , Frank Wilczek

Composite fermions have played a seminal role in understanding the quantum Hall effect, particularly the formation of a compressible `composite Fermi liquid' (CFL) at filling factor nu = 1/2. Here we suggest that in multi-layer systems…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea , Olexei I. Motrunich , G. Refael , Matthew P. A. Fisher

The spectral functions of the pseudospin correlation functions in the bilayer quantum Hall system at \nu=1 are investigated numerically, where the pseudospin describes the layer degrees of freedom. In the pseudospin-ferromagnetic phase, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Tatsuya Nakajima

We study the phase structure and Hall conductance quantization in weakly coupled multi-layer electron systems in the integer quantum Hall regime. We derive an effective field theory and perform a two-loop renormalization group calculation.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ziqiang Wang

The Hall-plateau width and the activation energy were measured in the bilayer quantum Hall state at filling factor \nu=2, 1 and 2/3, by changing the total electron density and the density ratio in the two quantum wells. Their behavior are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Sawada , Z. F. Ezawa , H. Ohno , Y. Horikoshi , Y. Ohno , S. Kishimoto , F. Matsukura , M. Yasumoto , A. Urayama

We study the quantum Hall states in the lowest Landau level for a single wide quantum well. Due to a separation of charges to opposite sides of the well, a single wide well can be modelled as an effective two level system. We provide…

Condensed Matter · Physics 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari

Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau level filling of $\nu=1/m$ ($m$: odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly…

Condensed Matter · Physics 2009-10-28 T. Nakajima , H. Aoki

Transport through a tunnel junction connecting a superconductor to a spin-aligned quantum Hall fluid at filling $\nu$ is studied theoretically. The dominant transport channel at low temperatures is the tunnelling of Cooper pairs into edge…

Condensed Matter · Physics 2009-10-22 Matthew P. A. Fisher

Inter-layer excitonic coherence in a quantum Hall bilayer with negligible tunneling is monitored by measurements of low-lying spin excitations. At $\nu_T =1$ new quasiparticle excitations are observed above a transition temperature…

Other Condensed Matter · Physics 2009-07-24 Biswajit Karmakar , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

We systematically study the coherent transport (Josephson tunneling and counterflow current) and its breakdown which leads to incoherent charge flow in in the excitonic BCS condensate formed in GaAs bilayers at $\nu_{tot}=1/2+1/2$. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Ding Zhang , Xuting Huang , Werner Dietsche , Maik Hauser , Klaus von Klitzing

A key feature of the topological surface state under a magnetic field is the presence of the zeroth Landau level at the zero energy. Nonetheless, it has been challenging to probe the zeroth Landau level due to large electron-hole puddles…

We discuss the effect of dissipation on quantum phase transitions. In particular we concentrate on the Superconductor to Insulator and Quantum-Hall to Insulator transitions. By invoking a phenomenological parameter $\alpha$ to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aharon Kapitulnik , Nadya Mason , Steven A. Kivelson , Sudip Chakravarty

Using Coulomb drag as a probe, we explore the excitonic phase transition in quantum Hall bilayers at nu=1 as a function of Zeeman energy, E_Z. The critical layer separation d/l for exciton condensation initially increases rapidly with E_Z,…

Mesoscale and Nanoscale Physics · Physics 2010-01-05 A. D. K. Finck , J. P. Eisenstein , L. N. Pfeiffer , K. W. West
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