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Quasiperiodic systems host exotic transport regimes that are distinct from those found in periodic or disordered lattices. In this work, we study quantum transport in the Aubry-Andr\'e-Harper lattice in a two-terminal setup coupled to…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Jinyuan Shang , Haiping Hu

We report on two sub-band transport in double gate SiO$_2$-Si-SiO$_2$ quantum well with 14 nm thick Si layer at 270 mK. At symmetric well potential the experimental sub-band spacing changes monotonically from 2.3 to 0.3 meV when the total…

Disordered Systems and Neural Networks · Physics 2009-11-11 Mika Prunnila , Jouni Ahopelto

We introduce a solvable model of a nonlinear double-barrier structure, described by a generalized effective-mass equation with a nonlinear coupling term. This model is interesting in its own right for possible new applications, as well as…

Condensed Matter · Physics 2007-05-23 E. Diez , A. Sanchez , F. Dominguez-Adame

We report a new result concerning the dynamics of an initially localized wave packet in quantum nonlinear Schr\"odinger lattices with a disordered potential. A class of nonlinear lattices with subquadratic power nonlinearity is considered.…

Statistical Mechanics · Physics 2019-06-26 Alexander V. Milovanov , Alexander Iomin

Focusing on the description of nontrivial properties of the energy transport at quantum scale, we investigate asymmetrical quantum spin chains described by boundary-driven $\mathit{XXZ}$ and $\mathit{XXX}$ Heisenberg models. We search for…

Quantum Physics · Physics 2020-02-05 Deborah Oliveira , Emmanuel Pereira , Humberto C F Lemos

We investigate the transmission properties of a quantum one-dimensional periodic system of fixed length $L$, with $N$ barriers of constant height $V$ and width $\lambda$, and $N$ wells of width $\delta$. In particular, we study the…

Mathematical Physics · Physics 2014-09-12 Matteo Colangeli , Sokol Ndreca , Aldo Procacci

Recent transport experiments have established that two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} =\nu - \lbrack \nu \rbrack$, have ground states with broken orientational symmetry. In a mean-field…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald , Matthew P. A. Fisher

We study the spectrum and the transport properties of two identical, vertically coupled quantum dots in a perpendicular magnetic field. We find correlation-induced energy crossings in a magnetic field sweep between states differing only in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bernhard Wunsch , David Jacob , Daniela Pfannkuche

We investigate the spectral and transport properties of a two-arm tight-binding ladder perturbed by an external magnetic field following an Aubry-Andr\'e-Harper profile. The varying magnetic flux trapped in consecutive ladder-cells…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Sk Sajid , Arunava Chakrabarti

We investigate topological phenomena in a spatially modulated Dirac-$\delta$ lattice, where the scattering potential varies periodically in space. Changing the potential modulation frequency leads to Hofstadter's butterfly-like energy…

We consider a quantum mechanical particle living on a graph and discuss the behaviour of its wavefunction at graph vertices. In addition to the standard (or delta type) boundary conditions with continuous wavefunctions, we investigate two…

funct-an · Mathematics 2009-09-25 Pavel Exner

We investigate spin-polarized transport phenomena through double quantum dots coupled to ferromagnetic leads in series. By means of the slave-boson mean-field approximation, we calculate the conductance in the Kondo regime for two different…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Yoichi Tanaka , Norio Kawakami

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We discuss magnetic transport in the system of two adjacent hard-wall layers exposed to a homogeneous field perpendicular to the layer plane and coupled laterally through a strip-shaped window in the common boundary. We show that the…

Spectral Theory · Mathematics 2022-10-12 Pavel Exner

The Kronig-Penney model, an exactly solvable one-dimensional model of crystal in solid physics, shows how the allowed and forbidden bands are formed in solids. In this paper, we study this model in the presence of both strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Rui Li

We consider a periodic quantum graph in the form of a rectangular lattice with the $\delta$-coupling of strength $\gamma$ in the vertices perturbed by changing the latter at an infinite straight array of vertices to a…

Spectral Theory · Mathematics 2024-12-31 Marzieh Baradaran , Pavel Exner , Andrii Khrabustovskyi

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

The Kronig-Penney model describes what happens to electron states when a confining potential is repeated indefinitely. This model uses a square well potential; the energies and eigenstates can be obtained analytically for a the single well,…

Other Condensed Matter · Physics 2015-11-17 R. L. Pavelich , F. Marsiglio

We study the unidirectional transport of two-particle quantum wavepackets in a regular one-dimensional lattice. We show that the bound-pair state component behaves differently from unbound states when subjected to an external pulsed…

Quantum Physics · Physics 2017-08-22 A. R. C. Buarque , W. S. Dias

This thesis focuses on the mechanisms of energy transport in multidimensional heterogeneous lattice models, studying in particular the case of the Klein-Gordon model of coupled anharmonic oscillators in one and two spatial dimensions. We…

Chaotic Dynamics · Physics 2021-04-26 Bob Senyange