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Tunneling spectroscopy between parallel two-dimensional (2D) electronic systems provides a powerful method to probe the underlying electronic properties by measuring tunneling conductance. In this work, we present a theoretical framework…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Modi Ke , Mahmoud M. Asmar , Wang-Kong Tse

We derive a semiclassical formula for the tunneling current of electrons trapped in a potential well which can tunnel into and across a wide quantum well. The calculations idealize an experimental situation where a strong magnetic field…

Condensed Matter · Physics 2009-10-31 E. B. Bogomolny , D. C. Rouben

Lightwave-driven scanning tunnelling microscopy (STM) at near-IR frequencies promises an unprecedented combination of atomic spatial resolution and temporal resolution approaching the attosecond range. To achieve this goal, high-sensitivity…

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 investigate the tunneling of an electron with momentum p in the direction of V potential and under an angle {\theta} to the normal potential. Using the boundary conditions, the conditions of continuity and Snell's law, we obtain…

Quantum Physics · Physics 2014-04-25 Cassio Lima , Jorge Henrique Sales , A. T. Suzuki

We calculate the tunneling conductance \sigma between the surface states on the opposite sides of the ultra-thin film of a topological insulator in a parallel magnetic field B_y. The parallel magnetic produces a relative shift of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 Sergey S. Pershoguba , Victor M. Yakovenko

Tunneling in quantum field theory is worth understanding properly, not least because it controls the long term fate of our universe. There are however, a number of features of tunneling rate calculations which lack a desirable transparency,…

High Energy Physics - Theory · Physics 2017-09-01 Anders Andreassen , David Farhi , William Frost , Matthew D. Schwartz

Scanning tunneling spectroscopy (STS) allows to image single molecules decoupled from the supporting substrate. The obtained images are routinely interpreted as the square moduli of molecular orbitals, dressed by the mean-field…

Mesoscale and Nanoscale Physics · Physics 2013-01-04 Dimitrios Toroz , Massimo Rontani , Stefano Corni

Understanding tunneling from an atomically sharp tip to a metallic surface requires to account for interactions on a nanoscopic scale. Inelastic tunneling of electrons generates emission of photons, whose energies intuitively should be…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 F. Xu , C. Holmqvist , W. Belzig

We study the effect of an electrostatic coupling between a scanning tunneling microscope tip and a Luttinger liquid wire on the tunneling current and noise between the two. Solving the Dyson equations non perturbatively for a local…

Mesoscale and Nanoscale Physics · Physics 2009-10-06 Marine Guigou , Thierry Martin , Adeline Crépieux

The development of new experimental techniques for direct measurement of many-body correlations is crucial for unraveling the mysteries of strongly correlated electron systems. In this work, we propose a coincidence double-tip scanning…

Strongly Correlated Electrons · Physics 2025-07-24 Yuehua Su , Guoya Zhang , Dezhong Cao , Chao Zhang

We develop a theory of tunneling spectroscopy in superconducting topological insulator (STI), i.e. superconducting state of a carrier-doped topological insulator. Based on the quasi-classical approximation, we obtain an analytical…

Superconductivity · Physics 2014-05-16 Shota Takami , Keiji Yada , Ai Yamakage , Masatoshi Sato , Yukio Tanaka

Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Yong Yang

We test the consistency with which Simmons' model can predict the local current density obtained for flat metal-vacuum-metal junctions. The image potential energy used in Simmons' original papers had a missing factor of 1/2. Besides this…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Alexandre Mayer , Marwan S. Mousa , Mark J. Hagmann , Richard G. Forbes

Currents across thin insulators are commonly taken as single electrons moving across classically forbidden regions; this independent particle picture is well-known to describe most tunneling phenomena. Examining quantum transport from a…

Materials Science · Physics 2007-05-23 Giorgos Fagas , Paul Delaney , James C. Greer

An alternative approach to the calculation of tunneling actions, that control the exponential suppression of the decay of metastable phases, is presented. The new method circumvents the use of bounces in Euclidean space by introducing an…

High Energy Physics - Theory · Physics 2019-07-10 J. R. Espinosa

Modeling of electron transport through organic molecules is presented in order to interpret the experimental data of Rosink et al. [PRB 62, 10459 (2000)]. Such results are understand as coherent off-resonance tunneling through the junction…

Soft Condensed Matter · Physics 2007-05-23 Kamil Walczak

Extensive studies on thin films indicated a generic cubic current-voltage $I-V$ dependence as a salient feature of charge transport by tunneling. A quick glance at $I-V$ data for molecular junctions suggests a qualitatively similar…

Chemical Physics · Physics 2015-09-21 Ioan Baldea

Indium arsenide nanowires grown by selective-area vapor phase epitaxy are used as tips for scanning tunneling microscopy (STM). The STM tips are realized by positioning the wires manually on the corner of a double cleaved gallium arsenide…

We report on a novel scheme to perform efficient simulations of Scanning Tunneling Microscopy (STM) of molecules weakly bonded to surfaces. Calculations are based on a tight binding (TB) technique including self-consistency for the molecule…

Materials Science · Physics 2009-11-11 M. Dubois , S. Latil , L. Scifo , B. Grevin , A. Rubio