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Related papers: Tunneling effects between tori in double wells

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We present a theory of quantum tunneling between 2D layers with account for Rashba and Dresselhaus spin-orbit interaction (SOI) in the layers. Energy and momentum conservation results in a single resonant peak in the tunnel conductance…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 I. V. Rozhansky , N. S. Averkiev , E. Lähderanta

In this paper we point out an connection between eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials of degree 3, 4 and eigenfunctions of rank two commuting ordinary differential operators.

Mathematical Physics · Physics 2014-12-09 Andrey E. Mironov , Bayan T. Saparbaeva

The semi-classical study of the integer Quantum Hall conductivity is investigated for electrons in a bi-periodic potential $V(x,y)$. The Hall conductivity is due to the tunnelling effect and we concentrate our study to potentials having…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Frederic Faure , Bernard Parisse

The double-well potential is a good example, where we can compute the splitting in the bound state energy of the system due to the tunneling effect with various methods, namely WKB or instanton calculations. All these methods are…

Quantum Physics · Physics 2019-07-18 Fatih Erman , O. Teoman Turgut

We present a class of 2D systems which shows a counterintuitive property that contradicts a semi classical intuition: A 2D quantum particle "prefers" tunneling through a barrier rather than traveling above it. Viewing the one particle 2D…

Quantum Physics · Physics 2011-02-14 Denys I. Bondar , Wing-Ki Liu , Misha Yu. Ivanov

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

Electron tunneling through a system formed by two coupled quantum dots in a parallel geometry is considered within a generalized Anderson model. The dots are assumed to have nearly equal radii but different (and tunable) gate voltages. In…

Strongly Correlated Electrons · Physics 2009-11-07 Yshai Avishai , Konstantin Kikoin

A behavior of quantum states (superposition of two lowest eigenstates, Gaussian wave packet) in phase space is studied for one and two dimensional double well potential. Two dimensional potential is constructed from double well potential…

Chemical Physics · Physics 2007-05-23 Dmytro Babyuk

We construct a potential $V$ on $\RR^d$, smooth away from one pole, and a sequence of quasi-modes for the operator $-\Delta+V$, which concentrate on this pole. No smoothing effect, Strichartz estimates nor dispersive inequalities hold for…

Analysis of PDEs · Mathematics 2007-05-23 Thomas Duyckaerts

For any central potential V in D dimensions, the angular Schroedinger equation remains the same and defines the so called hyperspherical harmonics. For non-central models, the situation is more complicated. We contemplate two examples in…

Quantum Physics · Physics 2009-11-10 Miloslav Znojil

We derive and evaluate expressions for the low temperature {\it dc} equilibrium tunneling conductance between parallel two-dimensional electron systems. Our theory is based on a linear-response formalism and on impurity-averaged…

Condensed Matter · Physics 2009-10-22 Lian Zheng , A. H. MacDonald

We have derived and analyzed the wavefunctions and energy states for an asymmetric double quantum wells, broadened due to static interface disorder effects, within well known discreet variable representation approach for solving the…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Vladimir Gavryushin

It is shown that a flux of unpolarized electrons across a symmetric double barrier quantum well induces a spin polarization inside the well. Besides, the transmitted current acquires a spin polarized component and the spin-Hall current…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. G. Mal'shukov , C. S. Chu

The quantum interference effects induced by the topological phase are studied analytically in biaxial antiferromagnets with an external magnetic field at an arbitrarily angle. This study provides a nontrivial generalization of the Kramers…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu , Hui Pan , Jia-Lin Zhu , Bing-Lin Gu

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

A theory of resonant spin-dependent tunneling has been developed for symmetrical double-barrier structures grown of non-centrosymmetrical semiconductors. The dependence of the tunneling transparency on the spin orientation and the wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. M. Glazov , P. S. Alekseev , M. A. Odnoblyudov , V. M. Chistyakov , S. A. Tarasenko , I. N. Yassievich

We investigate (theoretically and numerically) the dynamics of a soliton moving in an asymmetrical potential well with a finite barrier. For large values of the width of the well, the width of the barrier and/or the height of the barrier,…

patt-sol · Physics 2009-10-31 J. A. Gonzalez , A. Bellorin , L. E. Guerrero

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

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

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