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We report theoretical investigations on how edge states are destroyed in disordered mesoscopic samples by calculating a "phase diagram" in terms of energy versus disorder strength $(E,W)$, and magnetic field versus disorder strength…

Disordered Systems and Neural Networks · Physics 2008-07-03 Z. H. Qiao , J. Wang , Q. F. Sun , H. Guo

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We demonstrate the effect of pulse shaping in momentum selective atomic Bragg diffraction. We compare temporal square pulses, which produce sidelobes in momentum space, with other shapes which can produce more nearly square momentum…

We investigate the optical response of strongly disordered quantum Hall states in two-dimensional Dirac materials and find qualitatively different effects in the radiation properties of the bulk versus the edge. We show that the far-field…

Mesoscale and Nanoscale Physics · Physics 2017-07-03 Michael J. Gullans , Jacob M. Taylor , Atac Imamoglu , Pouyan Ghaemi , Mohammad Hafezi

This paper is devoted to the study of quantum dissipation in cluster decay phenomena in the frame of the Lindblad approach to quantum open systems. The tunneling of a metastable state across a piecewise quadratic potential is envisaged for…

Quantum Physics · Physics 2016-09-08 S. Misicu

A two-layer system coupled via tunneling and with different carrier masses in each layer is investigated in the integer quantum Hall regime. Striking deviations of the one-layer Hall conductivity from the usual quantization are found, if…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. L. Chudnovskiy , S. E. Ulloa

The interplay of electron-electron interaction and confining potential can lead to the reconstruction of fractional quantum Hall edges. We have performed exact diagonalization studies on microscopic models of fractional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xin Wan , E. H. Rezayi , Kun Yang

Exotic quantum Hall systems hosting counter-propagating edge states can show seemingly non-universal transport regimes, usually depending on the size of the sample. We experimentally probe transport in a quantum Hall sample engineered to…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Aifei Zhang , Kenji Watanabe , Takashi Taniguchi , Patrice Roche , Carles Altimiras , François D. Parmentier , Olivier Maillet

We consider the edge and bulk conductances for 2D quantum Hall systems in which the Fermi energy falls in a band where bulk states are localized. We show that the resulting quantities are equal, when appropriately defined. An appropriate…

Mathematical Physics · Physics 2007-05-23 A. Elgart , G. M. Graf , J. H. Schenker

Quantum phase is not a direct observable and is usually determined by interferometric methods. We present a method to map complete electron wave functions, including internal quantum phase information, from measured single-state probability…

Mesoscale and Nanoscale Physics · Physics 2008-03-19 Christopher R. Moon , Laila S. Mattos , Brian K. Foster , Gabriel Zeltzer , Wonhee Ko , Hari C. Manoharan

We consider the edge of a two-dimensional electron system that is in the quantum-Hall-effect regime at filling factor 1-1/m with m being an odd integer, where microscopic theory explaining the occurrence of the quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , A. H. MacDonald , M. D. Johnson

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

It is demonstrated that two distant quantum wells separated by a reservoir with a continuous spectrum can possess bound eigenstates embedded in the continuum. These represent a linear superposition of quantum states localized in the wells.…

Quantum Physics · Physics 2015-05-27 Jing Ping , Xin-Qi Li , Shmuel Gurvitz

We theoretically study microwave absorption spectroscopy of fractional quantum Hall droplets in the presence of quasiparticle tunneling across a quantum point contact. This contact-free probe provides access to collective edge dynamics…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Fumihiro Murabayashi , Ryotaro Sano , Flavio Ronetti , Jérôme Rech , Thierry Martin , Thibaut Jonckheere , Takeo Kato

Fractional edge states can be viewed as integer edge states of composite fermions. We exploit this to discuss the conductance of the fractional quantized Hall states and the velocity of edge magnetoplasmons.

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Dmitri B. Chklovskii , Bertrand I. Halperin

Resonant tunneling between fractional quantum Hall edge states is studied in the Luttinger liquid picture. For the Laughlin parent states, the resonance line shape is a universal function whose width scales to zero at zero temperature.…

Condensed Matter · Physics 2009-10-22 K. Moon , H. Yi , C. L. Kane , S. M. Girvin , Matthew P. A. Fisher

The results of tunnelling studies of the energy spectrum of two-dimensional (2D) states in a surface quantum well in a semiconductor with inverted band structure are presented. The energy dependence of quasimomentum of the 2D states over a…

Condensed Matter · Physics 2009-10-28 G. M. Minkov , A. V. Germanenko , V. A. Larionova , O. E. Rut

Quantum tunneling allows electrons to be transferred between two regions separated by an energetically forbidden barrier. Performing a position measurement that finds a particle in the barrier forces the tunneling electrons to transition…

Quantum Physics · Physics 2026-03-17 Rafael Sánchez , Alok Nath Singh , Andrew N. Jordan , Bibek Bhandari

Low-temperature scanning tunneling spectroscopy allows to probe the electronic properties of clusters at surfaces with unprecedented accuracy. By means of quantum transport theory, using realistic tunneling tips, we obtain conductance…

Other Condensed Matter · Physics 2011-11-09 Mario De Menech , Ulf Saalmann , Martin E. Garcia

We study the problem of resonant tunneling between a Fermi liquid and the edge of a $\nu=1/3$ fractional quantum Hall state. In the limit of weak coupling, the system is adequately described within the sequential tunneling approximation. At…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. L. Kane
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