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We study disorder-induced spectral correlations and their effect on the magnetic susceptibility of mesoscopic quantum systems in the non-diffusive regime. By combining a diagrammatic perturbative approach with semiclassical techniques we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Edward McCann , Klaus Richter

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

Non-diffusive effects in charge transport become relevant as device sizes and features become comparable to the electronic mean free path. As a model system, we investigate the electric transport around mesoscopic defects in graphene with…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Toni Markovic , Wei Huang , William S. Huxter , Pietro Gambardella , Sebastian Stepanow

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2009-04-10 G. Trambly de Laissardière , J. P. Julien , D. Mayou

Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the movement of viscous fluids. Here we show that in viscous flows interactions facilitate transport, allowing conductance to exceed the fundamental…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Haoyu Guo , Ekin Ilseven , Gregory Falkovich , Leonid Levitov

In quasiballistic semiconductor nanostructures, carrier exchange between the active region and dissipative contacts is the mechanism that governs relaxation. In this paper, we present a theoretical treatment of transient quantum transport…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 B. Novakovic , I. Knezevic

We show that particle transport in a uniform, quantum multi-baker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed times, the semi-classical limit leads to diffusion. Random…

Quantum Physics · Physics 2009-11-07 Daniel K. Wojcik , J. R. Dorfman

A new statistical model for the combined effects of decoherence, energy redistribution and dissipation on electron transport in large quantum systems is introduced. The essential idea is to consider the electron phase information to be lost…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

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

We examine transport properties of superconducting hybrid mesoscopic structures, in both the diffusive and ballistic regimes. For diffusive structures, analytic results from quasi-classical theory are compared with predictions from…

Condensed Matter · Physics 2009-10-28 N. R. Claughton , R. Raimondi , C. J. Lambert

Transport through semiconductor nanostructures is a quantum-coherent process. This paper focuses on systems in which the electron's dynamics is ballistic and the transport is dominated by the scattering from structure boundaries. Opposite…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. R. Racec , P. N. Racec , U. Wulf

A fourth-order Schr\"{o}dinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the dispersion relation in order to go beyond the simple…

Mathematical Physics · Physics 2025-07-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

A wide range of unconventional transport phenomena have recently been observed in single-crystal delafossite metals. Here, we present a theoretical framework to elucidate electron transport using a combination of first-principles…

Materials Science · Physics 2022-08-17 Georgios Varnavides , Yaxian Wang , Philip J. W. Moll , Polina Anikeeva , Prineha Narang

We report on a computational approach based on the self-consistent solution of the steady-state Boltzmann transport equation coupled with the Poisson equation for the study of inhomogeneous transport in deep submicron semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 D. Csontos , S. E. Ulloa

Strongly interacting electrons in clean two-dimensional devices are theorized to exhibit many distinct transport regimes, such as ballistic, hydrodynamic, or diffusive. Realistic samples often lie in crossover regimes between these…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Jack H. Farrell , Andrew Lucas

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

We implement self-consistent microscopic calculations in order to describe out-of-equilibrium non-local transport in normal metal-superconductor-normal metal hybrid structures in the presence of a magnetic field and for arbitrary interface…

Superconductivity · Physics 2009-04-03 R. Mélin , F. S. Bergeret , A. Levy Yeyati

We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of both time, $t$, and Planck's constant, $\hbar$, and allows a…

Chaotic Dynamics · Physics 2007-05-23 Daniel K. Wojcik , J. Robert Dorfman

We introduce a class of interacting fermionic quantum models in $d$ dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to…

Statistical Mechanics · Physics 2025-10-27 Yu-Peng Wang , Jie Ren , Sarang Gopalakrishnan , Romain Vasseur