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Motivated by recent experiments on suspended graphene showing carrier mobilities as high as 200,000 cm^2/Vs, we theoretically calculate transport properties assuming Coulomb impurities as the dominant scattering mechanism. We argue that the…

Materials Science · Physics 2008-05-11 S. Adam , S. Das Sarma

The transport properties of disordered systems are known to depend critically on dimensionality. We study the diffusion coefficient of a quantum particle confined to a lattice on the surface of a tube, where it scales between the 1D and 2D…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Chern Chuang , Chee Kong Lee , Jeremy M. Moix , Jasper Knoester , Jianshu Cao

We are honored to dedicate this article to Emmanuel Rashba on the occasion of his 95 birthday. In the ideal disorder-free situation, a two-dimensional band gap insulator has an activation energy for conductivity equal to half the band gap,…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Yi Huang , Brian Skinner , B. I. Shklovskii

We study the effect of a resonant frequency disorder on the eigenstates and the transport of magnetic energy in a two-dimensional (square) array of split-ring resonators (SRRs). In the absence of disorder, we find the dispersion relation of…

Pattern Formation and Solitons · Physics 2021-09-17 Cristian Mejia-Cortes , Mario I. Molina

Scattering by charged impurities is known to mainly determine transport properties of electrons in modern quantum materials, but it remains poorly studied for materials with Mexican hat dispersion. Due to such nontrivial features as a…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

Two-dimensional (2D) van der Waals semiconductors represent the thinnest, air stable semiconducting materials known. Their unique optical, electronic and mechanical properties hold great potential for harnessing them as key components in…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Song-Lin Li , Kazihito Tsukagoshi , Emanuele Orgiu , Paolo Samorì

We investigate the effect due to background impurities embedded in the region of two-dimensional electron gases to the magnetotransport. These impurities are achieved by homogeneously incorporating Si atoms in single quantum wells of high…

Mesoscale and Nanoscale Physics · Physics 2015-11-26 E. P. Rugeramigabo , L. Bockhorn , R. J. Haug

Features of a topological phase, and edge states in particular, may be obscured by overlapping in energy with a trivial conduction band. The topological nature of such a conductor, however, is revealed in its transport properties,…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Alexandra Junck , Kun W. Kim , Doron L. Bergman , T. Pereg-Barnea , Gil Refael

We study carrier transport through graphene on SrTiO$_3$ substrates by considering relative contributions of Coulomb and resonant impurity scattering to graphene resistivity. We establish that charged impurity scattering must dominate…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 S. Das Sarma , Qiuzi Li

In the ideal disorder-free situation, a two-dimensional band gap insulator has an activation energy for conductivity equal to half the band gap $\Delta$. But transport experiments usually exhibit a much smaller activation energy at low…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 Yi Huang , Yanjun He , Brian Skinner , B. I. Shklovskii

We investigate the effects of charged impurity distributions and carrier-carrier interactions on electronic transport in graphene on SiO$_2$ by employing a self-consistent coupled simulation of carrier transport and electrodynamics. We show…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 N. Sule , S. C. Hagness , I. Knezevic

Motivated by evidence of local electron-electron attraction in experiments on disordered insulating films, we propose a new two-component Coulomb glass model that combines strong disorder and long-range Coulomb repulsion with the additional…

Disordered Systems and Neural Networks · Physics 2013-05-30 Joe Mitchell , Anirban Gangopadhyay , Victor Galitski , Markus Mueller

More physics at the boundaries of a topological lattice remains to be explored for future applications of topological edge states. This work investigates the stability of topological edge states in the presence of a moving impurity. By…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Baikang Yuan , Jiangbin Gong

We develop a minimal theory for the recently observed metal-insulator transition (MIT) in two-dimensional (2D) moir\'e multilayer transition metal dichalcogenides (mTMD) using Coulomb disorder in the environment as the underlying mechanism.…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Seongjin Ahn , Sankar Das Sarma

The past decade has seen the emergence of ab initio computational methods for calculating phonon-limited carrier mobilities in semiconductors with predictive accuracy. More realistic calculations ought to take into account additional…

Materials Science · Physics 2023-04-12 Joshua Leveillee , Xiao Zhang , Emmanouil Kioupakis , Feliciano Giustino

We study the local density of states around potential scatterers in d-wave superconductors, and show that quantum interference between impurity states is not negligible for experimentally relevant impurity concentrations. The two impurity…

Superconductivity · Physics 2009-11-10 W. A. Atkinson , P. J. Hirschfeld , Lingyin Zhu

Atomically thin (two-dimensional, 2D) semiconductors have shown great potential as the fundamental building blocks for next-generation electronics. However, all the 2D semiconductors that have been experimentally made so far have…

Materials Science · Physics 2020-10-26 Long Cheng , Chenmu Zhang , Yuanyue Liu

We calculate the carrier density dependent ground state properties of graphene in the presence of random charged impurities in the substrate taking into account disorder and interaction effects non-perturbatively on an equal footing in a…

Mesoscale and Nanoscale Physics · Physics 2008-10-17 Enrico Rossi , S. Das Sarma

Electrons (or holes) confined in 2D semiconductor layers have served as model systems for studying disorder and interaction effects for almost 50 years. In particular, strong disorder drives the metallic 2D carriers into a strongly…

Mesoscale and Nanoscale Physics · Physics 2023-05-29 Seongjin Ahn , Sankar Das Sarma

Improving carrier mobilities of two-dimensional (2D) semiconductors is highly sought after. Recently, Ng. et al. [1] reported rippled molybdenum disulfide (MoS$_2$) transistors on bulged silicon nitride (SiN$_x$) substrates that exhibit…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Peng Wu