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Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

Pattern Formation and Solitons · Physics 2020-07-09 Victor P. Ruban

We present a detailed study of quantum transport in large antidot arrays whose classical dynamics is chaotic. We calculate the longitudinal and Hall conduc- tivities semiclassically starting from the Kubo formula. The leading contribu- tion…

Condensed Matter · Physics 2009-10-22 Gregor Hackenbroich , Felix von Oppen

Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed transport occurring both in regular and in chaotic regions of the phase space and its dependence on damping,…

Pattern Formation and Solitons · Physics 2015-05-22 J. Cuevas , B. Sánchez-Rey , M. Salerno

Reported here are salient features of soliton-mediated electron transport in anharmonic crystal lattices.After recalling how an electron-soliton bound state (solectron) can be formed we comment on consequences like electron surfing on a…

Superconductivity · Physics 2011-12-30 Manuel G. Velarde , Werner Ebeling , Alexander P. Chetverikov

We theoretically study transport in two-dimensional semimetals. Typically, electron and hole puddles emerge in the transport layer of these systems due to smooth fluctuations in the potential. We calculate the electric response of the…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Michael Knap , Jay D. Sau , Bertrand I. Halperin , Eugene Demler

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

We analyze the dynamical evolution of the current and the charge density in a superlattice for fixed external dc voltage in the regime of self-sustained current oscillations, using a microscopic sequential tunneling model. Fronts of…

Condensed Matter · Physics 2007-05-23 A. Amann , J. Schlesner , A. Wacker , E. Schöll

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick

It is shown that the classical commensurability phenomena in weakly modulated two-dimensional electron systems is a manifestation of the intrinsic properties of the correlation functions describing a homogeneous electron gas in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 O. E. Raichev

A standard drift-diffusion model of space charge wave propagation in semiconductors has been studied numerically and analytically under dc voltage bias. For sufficiently long samples, appropriate contact resistivity and applied voltage -…

Condensed Matter · Physics 2009-10-31 I. R. Cantalapiedra , M. J. Bergmann , L. L. Bonilla , S. W. Teitsworth

We study the quantum dynamics of a strongly correlated electron pair in a one-dimensional lattice, focusing on the occurrence of local dissociation/pairing mechanisms induced by a site energy defect. To this end, we simulate the time…

Strongly Correlated Electrons · Physics 2025-06-17 Vincent Pouthier , Saad Yalouz

This thesis investigates the magnetic, spectral, and transport properties of strongly correlated electronic systems, with a primary focus on the Hubbard model and its extensions relevant for real materials. Within the dynamical mean-field…

Strongly Correlated Electrons · Physics 2026-03-19 Joel Bobadilla

We present a novel model to calculate single-electron states in random quantum dot superlattices made of wide-gap semiconductors. The source of disorder comes from the random arrangement of the quantum dots (configurational disorder) as…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. Gomez , F. Dominguez-Adame , E. Diez , P. Orellana

We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Klaus Richter , Martin Sieber

A model for charge transport in undoped, photo-excited semiconductor superlattices, which includes the dependence of the electron-hole recombination on the electric field and on the photo-excitation intensity through the field-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. I. Arana , L. L. Bonilla , H. T. Grahn

We present the first numerical solutions of a kinetic theory description of self-sustained current oscillations in n-doped semiconductor superlattices. The governing equation is a single-miniband Boltzmann-Poisson transport equation with a…

Mesoscale and Nanoscale Physics · Physics 2009-09-23 E. Cebrián , L. L. Bonilla , A. Carpio

Electronic transport is theoretically investigated in laterally confined semiconductor superlattices using the formalism of non-equilibrium Green's functions. The transport properties are calculated for nanowire superlattices of varying…

Mesoscale and Nanoscale Physics · Physics 2014-04-25 Thomas Grange

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

When interacting electrons are confined to low-dimensions, the electron-electron correlation effect is enhanced dramatically, which often drives the system into exhibiting behaviors that are otherwise highly improbable. Superconductivity…

Semiconductor superlattices are interesting for two distinct reasons: the possibility to design their structure (band-width(s),doping, etc.) gives access to a large parameter space where different physical phenomena can be explored.…

Condensed Matter · Physics 2022-09-21 A. P. Jauho , A. Wacker , A. A. Ignatov