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In this paper, we discuss the connection between two genuinely quantum phenomena --- the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum…

Quantum Physics · Physics 2015-08-14 Jianxin Chen , Zhengfeng Ji , Chi-Kwong Li , Yiu-Tung Poon , Yi Shen , Nengkun Yu , Bei Zeng , Duanlu Zhou

We report quantum Hall effect breakdown of a local filling factor v_local = 1 state formed in a bulk v_bulk = 2 system in an AlGaAs/GaAs heterostructure. When a finite source-drain bias is applied across the local system, the breakdown…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa

The magnetotransport of a high-mobility two-dimensional electron gas coupled to a hovering split-ring resonator with controllable distance is studied in the quantum Hall regime. The measurements reveal an enhancement by more than a factor 2…

The dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect, is considered. Using perturbation theory, we first show that this rate has an anomalous dependence on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. K. T Nguyen , A. Crepieux , T. Jonckheere , A. V. Nguyen , Y. Levinson , T. Martin

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

We introduce thermometers to define the local temperature of an electronic system driven out-of-equilibrium by local ac fields. We discuss the behavior of the local temperature along the sample, showing that it exhibits spatial fluctuations…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 Alvaro Caso , Liliana Arrachea , Gustavo S. Lozano

We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 J. Rech , C. Wahl , T. Jonckheere , T. Martin

Low-energy transport measurements in Quantum Hall systems have been argued to be governed by emergent modular symmetries whose predictions are robust against many of the detailed microscopic dynamics. We propose the recently-observed…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 C. P. Burgess , B. P. Dolan

We report results of numerical studies of the integer quantum Hall effect in a tight binding model on a two-dimensional square lattice with non-interacting electrons, in the presence of a random potential as well as a uniform magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang , R. N. Bhatt

We systematically study the acousto-current of two-dimensional electron systems in the integer and fractional quantum Hall regimes using surface acoustic waves. We are able to separate the co-existing acoustic scattering and drag, when…

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

We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length…

Condensed Matter · Physics 2009-10-22 Michael R. Geller , Giovanni Vignale

We report an experimental study of quantum conductivity corrections in a low mobility, high density two-dimensional electron gas in a AlGaAs/GaAs/AlGaAs quantum well in a wide temperature range (1.5K - 110K). This temperature range covers…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. T. Renard , I. V. Gornyi , O. A. Tkachenko , V. A. Tkachenko , Z. D. Kvon , E. B. Olshanetsky , A. I. Toropov , J. -C. Portal

We report an investigation of quantum Hall induced currents by simultaneous measurements of their magnetic moment and their effect on the conductance of a quantum point contact (QPC). Features in the magnetic moment and QPC resistance are…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. J. Smith , C. D. H. Williams , A. Usher , A. S. Sachrajda , A. Kam , Z. R. Wasilewski

Photons are emitted or absorbed by a nano-circuit under both equilibrium and non-equilibrium situations. Here, we focus on the non-equilibrium situation arising due to a temperature difference between the leads of a quantum point contact,…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 K. Iyer , J. Rech , T. Jonckheere , L. Raymond , B. Grémaud , T. Martin

Heat transport has large potentialities to unveil new physics in mesoscopic systems. A striking illustration is the integer quantum Hall regime, where the robustness of Hall currents limits information accessible from charge transport.…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

We study the quantum Hall liquid and the metal-insulator transition in a high mobility two dimensional electron gas, by means of photoluminescence and magneto-transport. In the integer and fractional regime at nu > 1/3, analyzing the…

Strongly Correlated Electrons · Physics 2011-04-20 F. Dionigi , F. Rossella , V. Bellani , M. Amado , E. Diez , K. Kowalik , G. Biasiol , L. Sorba

On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Hall regime. In the Hall plateau region the point-contact…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Martin Janssen , Marcus Metzler , Martin R. Zirnbauer

A broad and a narrow level of a quantum dot connected to two external leads may swap their respective occupancies as a function of an external gate voltage. By mapping this problem onto a multi-flavored Coulomb-gas we show that such…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits , Yuval Gefen

We study the effect of local modulation of charge density and carrier type in graphene field effect transistors using a double top gate geometry. The two top gates lead to the formation of multiple \emph{p-n} junctions. Electron transport…

Mesoscale and Nanoscale Physics · Physics 2012-03-09 Ajay K. Bhat , Vibhor Singh , Sunil Patil , Mandar M. Deshmukh

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky
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