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We propose a unified diffusion-mobility relation which quantifies both quantum and classical levels of understanding on electron dynamics in ordered and disordered materials. This attempt overcomes the inability of classical Einstein…

Other Condensed Matter · Physics 2017-05-11 K. Navamani , Swapan K. Pati

Modeling QCD at large temperature with a simple holographic five dimensional theory encoding minimal breaking of conformality, allows for the calculation of all the transport coefficients, up to second order, in terms of a single parameter.…

High Energy Physics - Phenomenology · Physics 2010-11-11 Francesco Bigazzi , Aldo L. Cotrone

We present the theory of the electronic transfer and the optical properties of the quasi-zero dimensional quantum nanostructures, like quantum dots or the DNA molecule. The theory is based on the multiple scattering of the charge carriers…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Karel Kral , Miroslav Mensik

Machine learning has revolutionized materials discovery, but data scarcity remains a critical bottleneck for complex functional properties. As emerging systems, two-dimensional (2D) materials possess limited overall data volumes. Evaluating…

Materials Science · Physics 2026-05-26 Huiyang Zhang , Xinyu Chen , Qionghua Zhou , Jinlan Wang

Heat management is crucial in the design of nanoscale devices as the operating temperature determines their efficiency and lifetime. Past experimental and theoretical works exploring nanoscale heat transport in semiconductors addressed…

Unprecedented control over the manufacture of electronic devices on nanometer scale has allowed to perform highly controllable and fine-tuned experiments in the quantum regime where exotic effects can nowadays be measured. In quantum dot…

Strongly Correlated Electrons · Physics 2022-12-20 Emma L. Minarelli

Motivated by a recent prediction to engineer the dispersion relation of a waveguide constructed from atomic components [arXiv:2104.08121], we explore the possibility to create directional transport in an open, collective quantum system. The…

Quantum Physics · Physics 2022-04-05 R. Gutiérrez-Jáuregui , A. Asenjo-Garcia

Electronic transport in nanodevices is commonly studied theoretically and numerically within the Landauer-B\"uttiker formalism: a device is characterized by its scattering properties to and from reservoirs connected by perfect semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 George Datseris , Ragnar Fleischmann

Traditionally, the understanding of quantum transport, coherent and ballistic1, relies on the measurement of macroscopic properties such as the conductance. While powerful when coupled to statistical theories, this approach cannot provide a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Hackens , F. Martins , T. Ouisse , H. Sellier , S. Bollaert , X. Wallart , A. Cappy , J. Chevrier , V. Bayot , S. Huant

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. In the physical setup that we contemplate,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Pier A. Mello , Miztli Yépez

A first principle theory of charge transport in spatially inhomogeneous quantum systems composed of any finite number of particles and subject to weak electro-magnetic fields is developed. Simple analytical expressions for the linear…

Statistical Mechanics · Physics 2007-05-23 Liudmila A. Pozhar

We present the exact analytical equation of diffusion-mobility for two-dimensional (2D) Schr\"odinger type transport systems, from molecules to materials. The density of electronic states in such Schr\"odinger systems pertains to the 2D…

Statistical Mechanics · Physics 2019-09-27 K. Navamani

Ultracold atoms confined by engineered magnetic or optical potentials are ideal systems for studying phenomena otherwise difficult to realize or probe in the solid state because their atomic interaction strength, number of species, density,…

Quantum Gases · Physics 2016-01-20 Chih-Chun Chien , Sebastiano Peotta , Massimiliano Di Ventra

Using the tools of random matrix theory we develop a statistical analysis of the transport properties of thermoelectric low-dimensional systems made of two electron reservoirs set at different temperatures and chemical potentials, and…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 Adel Abbout , Henni Ouerdane , Christophe Goupil

We introduce a numerical tensor-network method to compute the statistics of the charge transferred across an interface partitioning an interacting one-dimensional many-body lattice system with $U(1)$ symmetry. Our approach is based on a…

Quantum Physics · Physics 2026-04-01 Hari Kumar Yadalam , Mark T. Mitchison

After the seminal work of R. Landauer in 1957 relating the electrical resistance of a conductor to its scattering properties, much progress has been made in our ability to predict the performance of electron devices in the DC (stationary)…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Guillermo Albareda , Damiano Marian , Abdelilah Benali , Alfonso Alarcón , Simeon Moises , Xavier Oriols

Finite temperature effects have a pronounced impact on the transport properties of solids. In magnetic systems, besides the scattering of conduction electrons by impurities and phonons, an additional scattering source coming from the…

Materials Science · Physics 2017-03-15 Kristina Chadova , Sergiy Mankovsky , Jan Minár , Hubert Ebert

The electrical transport properties of atomic-scale conductors are reviewed, with an emphasis on the relations of this problem with studies on quantum size effects in metallic clusters. A brief introduction is given of the natural formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. M. van Ruitenbeek

We present a gating scheme to separate even strong parallel conductance from the magneto-transport signatures and properties of a two-dimensional electron system. By varying the electron density in the parallel conducting layer, we can…

Mesoscale and Nanoscale Physics · Physics 2017-01-27 Sebastian Peters , Lars Tiemann , Christian Reichl , Stefan Fält , Werner Dietsche , Werner Wegscheider

We present a cluster-based density-functional approach to model charge transport through molecular and atomic contacts. The electronic structure of the contacts is determined in the framework of density functional theory, and the parameters…

Mesoscale and Nanoscale Physics · Physics 2008-12-04 F. Pauly , J. K. Viljas , U. Huniar , M. Hafner , S. Wohlthat , M. Burkle , J. C. Cuevas , G. Schon