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A quantum statistical theory of spin-dependent tunneling through asymmetric magnetic double barrier junctions is presented which describes $both$ ballistic and diffuse tunneling by a single analytical expression. It is evidenced that the…

Materials Science · Physics 2009-11-07 M. Chshiev , D. Stoeffler , A. Vedyayev , K. Ounadjela

Interband quantum tunneling of electrons in semiconductors is of intense recent interest as the underlying transport mechanism in tunneling field-effect transistors. Such transistors can potentially perform electronic switching with lower…

Materials Science · Physics 2015-06-15 Nan Ma , Debdeep Jena

The modern semiclassical theory of a Bloch electron in a magnetic field encompasses the orbital magnetization and geometric phase. Beyond this semiclassical theory lies the quantum description of field-induced tunneling between…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 A. Alexandradinata , Leonid Glazman

One-dimensional motion of Sommerfeld sphere in the case of potential barrier is numerically investigated. The effect of classical tunneling is found out - Sommerfeld sphere overcomes the barrier and finds itself in the forbidden, from…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

It is shown that a single molecular magnet placed in a rapidly oscillating magnetic field displays the phenomenon of quenching of tunneling processes. The results open a way to manipulate the quantum states of molecular magnets by means of…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 María José Santander , Alvaro S. Nunez , A. Roldán-Molina , Roberto E. Troncoso

We present a formalism based on the functional Schr\"odinger equation to analyse time-dependent tunneling in quantum field theory at the semi-classical level. The full problem is reduced step by step to a finite dimensional quantum…

High Energy Physics - Theory · Physics 2019-11-27 Luc Darmé , Joerg Jaeckel , Marek Lewicki

A semiclassical theory is developed and compared to experiments on the tunneling resonance spectrum for a quantum well in magnetic field tilted with respect to the tunneling direction. As the tilt angle is increased from zero the classical…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 E. E. Narimanov , A. Douglas Stone

A simple example of especially constructed potential barrier enables to show analytically (not numerically) the existence of tunneling effect for a Sommerfeld particle.

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

This is the second in a series of works devoted to small non-selfadjoint perturbations of selfadjoint semiclassical pseudodifferential operators in dimension 2. As in our previous work, we consider the case when the classical flow of the…

Spectral Theory · Mathematics 2007-05-23 Michael Hitrik , Johannes Sjoestrand

We develop a quantitative semiclassical formula for the resonant tunneling current through a quantum well in a tilted magnetic field. It is shown that the current depends only on periodic orbits within the quantum well. The theory explains…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. E. Narimanov , A. Douglas Stone , G. S. Boebinger

The tunneling of a giant spin at excited levels is studied theoretically in mesoscopic magnets with a magnetic field at an arbitrary angle in the easy plane. Different structures of the tunneling barriers can be generated by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Rong Lu , Hui Pan , Jia-Lin Zhu , Bing-Lin Gu

We present a magnetic double-well Hamiltonian where the tunneling between the two wells vanishes, as recently announced.

Mathematical Physics · Physics 2025-09-04 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

Tunneling of electrons into a two-dimensional electron system is known to exhibit an anomaly at low bias, in which the tunneling conductance vanishes due to a many-body interaction effect. Recent experiments have measured this anomaly…

Strongly Correlated Electrons · Physics 2018-07-02 Debanjan Chowdhury , Brian Skinner , Patrick A. Lee

This paper is devoted to the spectral analysis of the Neumann realization of the 2D magnetic Laplacian with semiclassical parameter h > 0 in the case when the magnetic field vanishes along a smooth curve which crosses itself inside a…

Analysis of PDEs · Mathematics 2022-07-27 Monique Dauge , Jean-Philippe Miqueu , Nicolas Raymond

We predict a huge interference effect contributing to the conductance through large ultra-clean quantum dots of chaotic shape. When a double-dot structure is made such that the dots are the mirror-image of each other, constructive…

Mesoscale and Nanoscale Physics · Physics 2013-03-11 Robert S. Whitney , P. Marconcini , M. Macucci

Within a wide class of ferromagnetic and antiferromagnetic systems, quantum tunneling of magnetization direction is spin-parity dependent: it vanishes for magnetic particles with half-integer spin, but is allowed for integer spin. A…

Condensed Matter · Physics 2009-01-23 Daniel Loss , David P. DiVincenzo , G. Grinstein

In nonrelativistic approximation one-dimensional motion of Sommerfeld sphere in the case of potential barrier is numerically investigated. The effect of classical tunneling is confirmed once more - Sommerfeld sphere overcomes the barrier…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

We analyze a general class of difference operators $H_\varepsilon = T_\varepsilon + V_\varepsilon$ on $\ell^2(\varepsilon\mathbf{Z}^d)$, where $V_\varepsilon$ is a multi-well potential and $\varepsilon$ is a small parameter. We derive full…

Spectral Theory · Mathematics 2018-11-14 Markus Klein , Elke Rosenberger

We consider the one-dimensional Schr\"{o}dinger operator in the semiclassical regime assuming that its double-well potential is the sum of a finite "physically given" well and a square shape probing well whose width or depth can be varied…

Mathematical Physics · Physics 2014-11-18 M. V. Karasev , E. V. Vybornyi