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Thouless' quantization of adiabatic particle transport permits to associate an integer topological charge with each atom of an electronically gapped material. If these charges are additive and independent of atomic positions, they provide a…

Materials Science · Physics 2023-05-18 Paolo Pegolo , Federico Grasselli , Stefano Baroni

The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

Strongly Correlated Electrons · Physics 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

Faraday's experiment measures -- within a modern view -- the charge adiabatically transported over a macroscopic distance by a given nuclear species in insulating liquids: the reason why it is integer is deeply rooted in topology. Whole…

Materials Science · Physics 2022-01-12 Raffaele Resta

According to the Green-Kubo theory of linear response, the conductivity of an electronically gapped liquid can be expressed in terms of the time correlations of the adiabatic charge flux, which is determined by the atomic velocities and…

Materials Science · Physics 2019-07-23 Federico Grasselli , Stefano Baroni

Ionic liquids are promising candidates for novel electrolytes as they possess large electrochemical and thermodynamic stability and offer a high degree of tunability. As purely-ionic electrolyte without neutral solvent they exhibit…

Chemical Physics · Physics 2022-01-12 Max Schammer , Birger Horstmann , Arnulf Latz

We present a mathematically simple procedure for explaining and visualizing the dynamics of quantized transport in topological insulators. The procedure serves to illustrate and clarify the dynamics of topological transport in general, but…

Mesoscale and Nanoscale Physics · Physics 2020-10-02 Mariya A. Lizunova , Samuel Kuypers , Bernet Meijer , Ana Silva , Jasper van Wezel

In this paper the low temperature zero-frequency transport in a 2+1-dimensional theory dual to a dyonic black hole is discussed. It is shown that transport exhibits topological features: the transverse electric and heat conductivities…

High Energy Physics - Theory · Physics 2018-03-14 Dmitry Melnikov

Redox molecular junctions are molecular conduction junctions that involve more than one oxidation state of the molecular bridge. This property is derived from the ability of the molecule to transiently localize transmitting electrons,…

Mesoscale and Nanoscale Physics · Physics 2013-06-21 Agostino Migliore , Abraham Nitzan

The discovery of the quantization of particle transport in adiabatic pumping cycles of periodic structures by Thouless [Phys. Rev. B 27, 6083 (1983)] linked the Chern number, a topological invariant characterizing the quantum Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

We developed a theory of charge transport in a system of non-interacting polarons. The theory was conducted to a compact relation through a nonperturbative method based on electron-phonon Hamiltonian. The derived final result represents…

Other Condensed Matter · Physics 2012-03-15 F. Marsusi , J. Sabbaghzadeh

A gas of electrons in a one-dimensional periodic potential can be transported even in the absence of a voltage bias if the potential is modulated slowly and periodically in time. Remarkably, the transferred charge per cycle is only…

In this work we elaborate on two recently discovered invariance principles, according to which transport coefficients are, to a large extent, independent of the microscopic definition of the densities and currents of the conserved…

Statistical Mechanics · Physics 2021-07-20 Federico Grasselli , Stefano Baroni

The non-equilibrium tunnel transport processes are considered in a square lattice of metallic nanogranules embedded into insulating host. Based on a simple model with three possible charging states (+,-, or 0) of a granule and three kinetic…

Materials Science · Physics 2007-05-23 Yu. G. Pogorelov , J. F. Polido

We use an adiabatic approximation in terms of instantaneous resonances to study the steady-state and time-dependent transport properties of interacting electrons in biased resonant tunneling heterostructures. This approach leads, in a…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Johannes Sjöstrand

Solid-state ionic conduction is a key enabler of electrochemical energy storage and conversion. The mechanistic connections between material processing, defect chemistry, transport dynamics, and practical performance are of considerable…

Materials Science · Physics 2022-08-04 Andrey D. Poletayev , James A. Dawson , M. Saiful Islam , Aaron M. Lindenberg

Solid ionic conductors are essential components of batteries and fuel cells. In many cases, ionic conduction through crystalline materials with substitutional disorder can be modeled with atomic-scale lattice model percolation simulations.…

Materials Science · Physics 2023-02-15 Alexander Urban

We investigate charge transport in C$_{60}$-based single-molecule junctions with graphene electrodes employing a combination of density functional theory (DFT) electronic structure calculations and Landauer transport theory. In particular,…

Mesoscale and Nanoscale Physics · Physics 2017-01-12 Susanne Leitherer , Pedro B. Coto , Konrad Ullmann , Heiko B. Weber , Michael Thoss

Interfacial charge transfer is widely assumed to obey Butler-Volmer kinetics. For certain liquid-solid interfaces, Marcus-Hush-Chidsey theory is more accurate and predictive, but it has not been applied to porous electrodes. Here we report…

Materials Science · Physics 2014-04-04 Peng Bai , Martin Z. Bazant

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

Continuous-time quantum walk describes the propagation of a quantum particle (or an excitation) evolving continuously in time on a graph. As such, it provides a natural framework for modeling transport processes, e.g., in light-harvesting…

Quantum Physics · Physics 2021-08-02 Luca Razzoli , Matteo G. A. Paris , Paolo Bordone
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