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A simple Kronig-Penney model for one-dimensional (1D) mesoscopic systems with $\delta $ peak potentials is used to study numerically the influence of a spatial disorder on the conductance fluctuations and distribution at different regimes.…

Disordered Systems and Neural Networks · Physics 2015-05-13 Rabah Benhenni , Khaled Senouci , Nouredine Zekri , Rachid Bouamrane

We study, analytically and numerically, a simple $\mathcal{PT}$-symmetric tight-binding ring with an onsite energy $a$ at the gain and loss sites. We show that if $a\neq 0$, the system generically exhibits an unbroken…

Quantum Physics · Physics 2021-12-21 Adrian Ortega , Luis Benet , Hernán Larralde

We derive a continuity equation to study transport properties in a $\mathcal{PT}$-symmetric tight-binding chain with gain and loss in symmetric configurations. This allows us to identify the density fluxes in the system, and to define a…

Quantum Physics · Physics 2021-03-02 Adrian Ortega , Thomas Stegmann , Luis Benet , Hernán Larralde

We study charge transport in one-dimensional graphene superlattices created by applying layered periodic and disordered potentials. It is shown that the transport and spectral properties of such structures are strongly anisotropic. In the…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 Yury P. Bliokh , Valentin Freilikher , Sergey Savel'ev , Franco Nori

In this paper we show an approach to electron transport in double barrier structures which unifies the well known sequential and resonant tunneling models in the widest range of transport regimes, from completely coherent to completely…

Condensed Matter · Physics 2009-10-28 Giuseppe Iannaccone , Bruno Pellegrini

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive role in the conductivity properties illustrating this claim…

Mathematical Physics · Physics 2020-05-20 Pavel Exner , Jiri Lipovsky

The repulsive-potential Kronig-Penney (KP) model for a one-dimensional band structure is well known. However, real metals contain positively-charged ions resulting in attractive potential wells seen by the metallic electrons. Here we…

Materials Science · Physics 2019-12-11 David C. Johnston

Quantum transport of charge or energy in networks with discrete sites is central to diverse quantum technologies, from molecular electronics to light harvesting and quantum opto-mechanical metamaterials. A one dimensional network can be…

Quantum Physics · Physics 2024-02-13 Ajith Ramachandran , Alexander Eisfeld , Sebastian Wüster , Jan-Michael Rost

We extend a perturbative, nonequilibrium renormalization group approach to multi-orbital systems and apply it for studying transport through two parallel quantum dots coupled electrostatically. In general, the conductance shows pronounced…

Strongly Correlated Electrons · Physics 2007-05-23 Y. -F. Yang , K. Held

Staggered and linear multi-particle trains constitute characteristic structures in inertial microfluidics. Using lattice-Boltzmann simulations, we investigate their properties and stability, when flowing through microfluidic channels. We…

Soft Condensed Matter · Physics 2020-07-02 Christian Schaaf , Holger Stark

We study transport through a double quantum dot system in which each quantum dot is coupled to a phonon mode. Such a system can be realized, e.g., using a suspended carbon nanotube. We find that the interplay between strong electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 Stefan Walter , Björn Trauzettel , Thomas L. Schmidt

The transport properties on the two-dimensional surface of coupled multilayer heterostructures are studied in the integer quantum Hall states. We emphasize the criticality of the surface state and the phase coherent transport properties in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vasiliki Plerou , Ziqiang Wang

As the Fermi level and band structure of two-dimensional materials are readily tunable, they constitute an ideal platform for exploring Lifshitz transition, a change in the topology of a material's Fermi surface. Using tetralayer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 Yanmeng Shi , Shi Che , Kuan Zhou , Supeng Ge , Ziqi Pi , Timothy Espiritu , Takashi Taniguchi , Kenji Watanabe , Yafis Barlas , Roger Lake , Chun Ning Lau

Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model,…

Mesoscale and Nanoscale Physics · Physics 2010-10-13 S. Gattenloehner , W. Belzig , M. Titov

Low-energy transport in quantum Hall states is carried through edge modes, and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here we show how the presence or breaking of symmetries of…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Jinhong Park , Bernd Rosenow , Yuval Gefen

The delta function potential is a simple model of zero-range contact interaction in one dimension. The Kronig-Penney model is a one-dimensional periodic array of delta functions that models the energy bands in a crystal. Here we investigate…

Quantum Physics · Physics 2019-01-16 Foster Thompson , Katherine Jones-Smith , Harsh Mathur , Kristin McKee

We consider the phenomenon of quantum charge pumping of electrons across a superconducting double barrier structure in graphene in the adiabatic limit. In this geometry, quantum charge pumping can be achieved by modulating the amplitudes…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arijit Kundu , Sumathi Rao , Arijit Saha

The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two different numerical approaches based on…

chao-dyn · Physics 2007-05-23 A. Lippi , R. Livi

The bounded one dimensional multibarrier potential shows signs of chaos, phase transition and a transmission probability of unity for certain values of its total length $L$ and the ratio $c$ of total interval to total width. Like the…

Quantum Physics · Physics 2015-06-26 D. Bar