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Related papers: Interactions and disorder in 2D graphite sheets

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We present analysis of the cross-over behavior of disordered interacting two-dimensional electron systems in the parallel magnetic field. Using the so-called cross-over one-loop renormalization group equations for the resistance and…

Strongly Correlated Electrons · Physics 2015-06-25 I. S. Burmistrov , N. M. Chtchelkatchev

We study the disorder effect on the excitonic gap generation caused by strong Coulomb interaction in graphene. By solving the self-consistently coupled equations of dynamical fermion gap $m$ and disorder scattering rate $\Gamma$, we found a…

Strongly Correlated Electrons · Physics 2011-03-21 Guo-Zhu Liu , Jing-Rong Wang

The nematic phase transition in electronic liquids, driven by Coulomb interactions, represents a new class of strongly correlated electronic ground states. We studied suspended samples of bilayer graphene, annealed so that it achieves very…

A two-band model of a disordered semiconductor is used to analyze dynamical interaction induced weakening of localization in a system that is accessible to experimental verification. The results show a dependence on the sign of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Brinkmann , J. E. Golub , S. W. Koch , P. Thomas , K. Maschke , I. Varga

Electron-electron interactions play a critical role in many condensed matter phenomena, and it is tempting to find a way to control them by changing the interactions' strength. One possible approach is to place a studied system in proximity…

Few-layer graphene systems come in various stacking orders. Considering tight-binding models for electrons on stacked honeycomb layers, this gives rise to a variety of low-energy band structures near the charge neutrality point. Depending…

Strongly Correlated Electrons · Physics 2012-11-07 Michael M. Scherer , Stefan Uebelacker , Daniel D. Scherer , Carsten Honerkamp

The physics of non-local exchange interactions in graphene sheets is studied within a $\pi$-orbital tight-binding model using a Hartree-Fock approximation and Coulomb interactions modified at short distances by lattice effects and at large…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 Jeil Jung , Allan H. MacDonald

We consider a statistical mechanical model of a generic flexible polyelectrolyte, comprised of identically charged monomers with long range electrostatic interactions, and short-range interactions quantified by a disorder field along the…

Soft Condensed Matter · Physics 2025-04-24 V. Stepanyan , A. Badasyan , V. Morozov , Y. Mamasakhlisov , R. Podgornik

We present a review of the electronic compressibility of monolayer and bilayer graphene. We focus on describing theoretical calculations of the effects of electron--electron interactions and various types of disorder, and also give a…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. S. L. Abergel

In this work, we investigate the adsorption of a single cobalt atom (Co) on graphene by means of the complete active space self-consistent field approach, additionally corrected by the second-order perturbation theory. The local structure…

Materials Science · Physics 2012-08-15 A. N. Rudenko , F. J. Keil , M. I. Katsnelson , A. I. Lichtenstein

Using a large-N approach, we study the effect of disorder in the Kondo-screened phase of heavy-fermion materials. We demonstrate that the strong feedback between the hybridization and the conduction electron charge density magnifies the…

Strongly Correlated Electrons · Physics 2013-10-30 Francesco Parisen Toldin , Jeremy Figgins , Stefan Kirchner , Dirk K. Morr

A 3D layered system of charges with logarithmic interaction parallel to the layers and random dipoles is studied via a novel variational method and an energy rationale which reproduce the known phase diagram for a single layer. Increasing…

Condensed Matter · Physics 2016-08-31 Baruch Horovitz , Pierre Le Doussal

Conducting steady-states of doped bilayer graphene have a non-zero sublattice pseudospin polarization. Electron-electron interactions renormalize this polarization even at zero temperature, when the phase space for electron-electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wei-Zhe Liu , Allan H. MacDonald , Dimitrie Culcer

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 D. S. L. Abergel , Hongki Min , E. H. Hwang , S. Das Sarma

We study the effects of disorder in the electronic properties of graphene multilayers, with special focus on the bilayer and the infinite stack. At low energies and long wavelengths, the electronic self-energies and density of states…

Strongly Correlated Electrons · Physics 2013-05-29 Johan Nilsson , A. H. Castro Neto , F. Guinea , N. M. R. Peres

The model of two electrons with Coulomb interaction on a two-dimensional (2D) disordered lattice is considered. It is shown that the interaction can give a sharp transition to delocalized states in a way similar to the Anderson transition…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

Electron-electron interactions are intrinsically long ranged, but many models of strongly interacting electrons only take short-ranged interactions into account. Here, we present results of atomistic calculations including both long-ranged…

Strongly Correlated Electrons · Physics 2021-05-19 Lennart Klebl , Zachary A. H. Goodwin , Arash A. Mostofi , Dante M. Kennes , Johannes Lischner

We investigate the instabilities of interacting electrons on the honeycomb bilayer by means of the functional renormalization group for a range of interactions up to the third-nearest neighbor. Besides a novel instability toward a gapless…

Strongly Correlated Electrons · Physics 2012-08-20 Michael M. Scherer , Stefan Uebelacker , Carsten Honerkamp

This work presents a survey of mechanical models describing van der Waals interactions between 2D materials, encompassing both continuous elastomer-like materials and discrete (crystalline) 2D materials such as graphene. These interactions…

Computational Physics · Physics 2025-12-30 Gourav Yadav , Shakti S. Gupta , Roger A. Sauer

We describe the theory of few Coulomb-correlated electrons in a magnetic quantum dot formed in graphene. While the corresponding nonrelativistic (Schr\"odinger) problem is well understood, a naive generalization to graphene's "relativistic"…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Wolfgang Häusler , Reinhold Egger
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