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We show that the changes in the electronic density of states (DOS) in graphene induced by impurity scattering with short-range potentials are completely different from those caused by the long-range Coulomb potential. The spectral weight of…

Mesoscale and Nanoscale Physics · Physics 2010-01-13 Stepan Grinek , Zhou Li , Jie Chen , Qinwei Shi , Frank Marsiglio

The Coulomb impurity problem of graphene, in the absence of a magnetic field, displays discrete scale invariance. Applying a magnetic field introduces a new magnetic length scale $\ell$ and breaks discrete scale invariance. Moreover, a…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Hoang-Anh Le , S. -R. Eric Yang

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

We study the influence of impurities in graphene described by a scattering rate $\Gamma$ on the Casimir interaction between graphene and an ideal conductor or between two identical sheets of graphene at zero temperature and chemical…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 N. Khusnutdinov , D. Vassilevich

We study the infrared conductivity of graphene at finite chemical potential and temperature taking into account the effect of phonons and disorder due to charged impurities and unitary scatterers. The screening of the long-range Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-10-16 N. M. R. Peres , T. Stauber , A. H. Castro Neto

In the low-energy two-band as well as four-band continuum models, we study the supercritical instability in gapped bilayer graphene in the field of a charged impurity. It is found that the screening effects are crucially important in…

Strongly Correlated Electrons · Physics 2017-10-11 D. O. Oriekhov , O. O. Sobol , E. V. Gorbar , V. P. Gusynin

It is shown that a ``vacuum polarization'' induced by Coulomb potential in graphene leads to a strong suppression of electric charges even for undoped case (no charge carriers). A standard linear response theory is therefore not applicable…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

Coulomb impurity of charge $Ze$ is known to destabilize the ground state of undoped graphene with respect to creation of screening space charge if $Z$ exceeds a critical value of $1/2\alpha$ set by material's fine structure constant…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Eugene B. Kolomeisky , Joseph P. Straley

We calculate analytically the charge density $\rho_{\text{ind}}(\boldsymbol{r})$ at small distances induced by a Coulomb impurity in two-dimensional transition metal dichalcogenides. The calculations were performed exactly in the coupling…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 V. K. Ivanov , I. S. Terekhov

A new mechanism that induces charge density variations in corrugated graphene is proposed. Here it is shown how the interplay between lattice deformations and exchange interactions can induce charge separation, i.e., puddles of electrons…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 L. Brey , J. J. Palacios

The electronic energy spectrum of graphene electron subjected to a homogeneous magnetic field in the presence of a charged Coulomb impurity is studied analytically within two-dimensional Dirac-Weyl picture by using variational approach. The…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 B. S. Kandemir , A. Mogulkoc

It is widely assumed that the dominant source of scattering in graphene is charged impurities in a substrate. We have tested this conjecture by studying graphene placed on various substrates and in high-k media. Unexpectedly, we have found…

Intervalley scattering involves microscopic processes that electrons are scattered by atomic-scale defects on nanometer length scales. Although central to our understanding of electronic properties of materials, direct characterization and…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Yu Zhang , Fei Gao , Shiwu Gao , Mads Brandbyge , Lin He

We theoretically calculate the impurity-scattering induced resistivity of twisted bilayer graphene at low twist angles where the graphene Fermi velocity is strongly suppressed. We consider, as a function of carrier density, twist angle, and…

Mesoscale and Nanoscale Physics · Physics 2020-03-23 E. H. Hwang , S. Das Sarma

The pseudo-magnetic field generated by mechanical strain in graphene can have dramatic consequences on the behavior of electrons and holes. Here we show that pseudo-magnetic field fluctuations present in crumpled graphene can induce…

We demonstrate that in the presence of Coulomb interactions, electrons in graphene behave like a critical system, supporting power law correlations with interaction-dependent exponents. An asymptotic analysis shows that the origin of this…

Strongly Correlated Electrons · Physics 2010-05-04 Jianhui Wang , H. A. Fertig , Ganpathy Murthy

It is pointed out that point defects on graphene are strongly correlated and can not be treated as independent scatters. In particular, for large on-site defect potential, it is shown that defects induce an impurity band with density of…

Strongly Correlated Electrons · Physics 2015-05-13 Bor-Luen Huang , Chung-Yu Mou

We study rectangular graphene flakes using mean field states as the basis for a configuration interaction calculation, which allows us to analyze the low lying electronic excited states including electron correlations beyond the mean field…

Materials Science · Physics 2018-01-18 Z. S. Sadeq , Rodrigo A. Muniz , J. E. Sipe

We present calculations of the thermal and electric linear response in graphene, including disorder in the self-consistent t-matrix approximation. For strong impurity scattering, near the unitary limit, the formation of a band of impurity…

Mesoscale and Nanoscale Physics · Physics 2008-04-29 Tomas Lofwander , Mikael Fogelstrom

Electron scattering in the monolayer graphene with short-range impurities modelled by the annular well with a band-asymmetric potential has been considered. Band-asymmetry of the potential resulted in the mass (gap) perturbation in the…

Mesoscale and Nanoscale Physics · Physics 2010-02-23 Natalie E. Firsova , Sergey A. Ktitorov