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In half-filled high Landau levels, two-dimensional electron systems possess collective phases which exhibit a strongly anisotropic resistivity tensor. A weak, but as yet unknown, rotational symmetry-breaking potential native to the host…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Tailored electrostatic potentials are the foundation of scanning gate microscopy. We present several aspects of the tip-induced potential on the two-dimensional electron gas. First, we give methods on how to estimate the size of the…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 R. Steinacher , A. A. Kozikov , C. Rössler , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

Under mesoscopic conditions, the transport potential on a thin film with current is theoretically expected to bear spatial variation due to quantum interference. Scanning tunneling potentiometry is the ideal tool to investigate such…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Weigang Wang , Ko Munakata , Michael Rozler , Malcolm R. Beasley

An open resonator fabricated in a two-dimensional electron gas is used to explore the transition from strongly invasive scanning gate microscopy to the perturbative regime of weak tip-induced potentials. With the help of numerical…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 R. Steinacher , C. Pöltl , T. Krähenmann , A. Hofmann , C. Reichl , W. Zwerger , W. Wegscheider , R. A. Jalabert , K. Ensslin , D. Weinmann , T. Ihn

We present a review of features due to resonant tunnelling in transport spectroscopy experiments on quantum dots and single donors. The review covers features attributable to intrinsic properties of the dot as well as extrinsic effects,…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 C. C. Escott , F. A. Zwanenburg , A. Morello

Within a phonon-assisted resonance level model we develop a self-consistent procedure for calculating electron transport currents in molecular junctions with intermediate to strong electron-phonon interaction. The scheme takes into account…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Abraham Nitzan , Mark A. Ratner

We develop the concept of scattering matrix and we use it to perform stable numerical calculations of resonant tunneling of electrons through a multiple potential barrier in a semiconductor heterostructure. Electrons move in two external…

Quantum Physics · Physics 2023-07-19 J. Z. Kaminski , E. Saczuk

We image equilibrium and non-equilibrium transport through a two-dimensional electronic cavity using scanning gate microscopy (SGM). Injecting electrons into the cavity through a quantum point contact close to equilibrium, we raster-scan a…

Effects of the electron-electron interaction on tunneling into a metal in ultra-high magnetic field (ultra-quantum limit) are studied. The range of the interaction is found to have a decisive effect both on the nature of the field-induced…

Strongly Correlated Electrons · Physics 2007-10-30 Shan-Wen Tsai , D. L. Maslov , L. I. Glazman

We derive an explicit expression for the quantum conductivity of a molecular wire containing a redox center, which is embedded in an electrochemical environment. The redox center interacts with the solvent, and the average over the solvent…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. V. B. Cruz , A. K. Mishra , W. Schmickler

Motivated by the recent experiments by the Westervelt group using a mobile tip to probe the electronic state of quantum dots formed on a segmented nanowire, we study the shifts in Coulomb blockade peak positions as a function of the spatial…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Jiang Qian , Bertrand I. Halperin , Eric J. Heller

We observe a series of sharp resonant features in the differential conductance of graphene-hexagonal boron nitride-graphene tunnel transistors over a wide range of bias voltages between $\sim$10 and 200 mV. We attribute them to electron…

We address the electronic resonant transport in presence of a transverse magnetic field through the single level of a suspended carbon nanotube acting as a quantum oscillator. We predict a negative magneto-conductance with a magnetic-field…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 G. Rastelli , M. Houzet , F. Pistolesi

The bias dependence of the tunnel magnetoresistance (TMR) of Fe/MgO/Fe tunnel junctions is investigated theoretically with a fully self-consistent scheme that combines the non-equilibrium Green's functions method with density functional…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ivan Rungger , Oleg N. Mryasov , Stefano Sanvito

Electron tunneling through small metallic islands with low capacitance is studied. The large charging energy in these systems is responsible for nonperturbative Coulomb blockade effects. We further consider the effect of electron…

Condensed Matter · Physics 2016-08-31 Jürgen König , Herbert Schoeller , Gerd Schön , Rosario Fazio

A waveguide coincides with a strip having two narrows of diameter $\epsilon$. Electron motion is described by the Helmholtz equation with Dirichlet boundary condition. The part of waveguide between the narrows plays the role of resonator…

Mathematical Physics · Physics 2011-05-25 Lev Baskin , Muaed Kabardov , Pekka Neittaanmäki , Boris Plamenevskii , Oleg Sarafanov

Periodic driving of quantum dots is analyzed as a basis for developing dynamic switching devices. We study transport through periodically modulated energy levels which are coupled to leads via tunneling coefficients. Utilizing Floquet…

Mesoscale and Nanoscale Physics · Physics 2025-09-10 Jan Mathis Giesen , Daniel Weber , Sebastian Eggert

We use a scanning capacitance probe to image transport in the quantum Hall system. Applying a DC bias voltage to the tip induces a ring-shaped incompressible strip (IS) in the 2D electron system (2DES) that moves with the tip. At certain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. A. Steele , R. C. Ashoori , L. N. Pfeiffer , K. W. West

Discoveries over the past two decades have revealed the remarkable ability of quantum materials to emulate relativistic properties of the vacuum, from Dirac cones in graphene to the Weyl surface states of topological insulators. Yet the…

Mesoscale and Nanoscale Physics · Physics 2025-12-08 Saikat Banerjee , Anuva Aishwarya , Fei Liu , Lin Jiao , Vidya Madhavan , Eugene J. Mele , Piers Coleman

The problem of resonant transport of strongly interacting electrons through a one-dimensional single-level vibrating quantum dot is being considered. In this paper, we generalize the Komnik and Gogolin model [Phys. Rev. Lett., 90, 246403,…

Strongly Correlated Electrons · Physics 2012-11-13 Gleb A. Skorobagatko