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A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

The electron-electron interactions effects on the shape of the Fermi surface of doped graphene are investigated. The actual discrete nature of the lattice is fully taken into account. A $\pi$-band tight-binding model, with nearest-neighbor…

Strongly Correlated Electrons · Physics 2008-03-14 R. Roldan , M. P. Lopez-Sancho , F. Guinea

When an electron or a hole is added into an orbital of an adsorbed molecule the substrate electrons will rearrange in order to screen the added charge. This results in a reduction of the electron addition/removal energies as compared to the…

Materials Science · Physics 2009-11-13 Kristian S. Thygesen , Angel Rubio

A one-dimensional quantum wire of Fermions is considered and ground state properties are calculated in the high density regime within the extended quasiparticle picture and Born approximation. Expanding the two-particle Green functions…

Strongly Correlated Electrons · Physics 2025-02-18 Klaus Morawetz , Vinod Ashokan , Kare Narain Pathak , Neil Drummond , Gianaurelio Cuniberti

Using hybrid exchange-correlation functional in ab initio density functional theory calculations, we study magnetic properties and strain effect on the electronic properties of $\alpha$-graphyne monolayer. We find that a spontaneous…

Computational Physics · Physics 2018-02-08 Baojuan Dong , Huaihong Guo , Zhiyong Liu , Teng Yang , Peng Tao , Sufang Tang , Riichiro Saito , Zhidong Zhang

We have carried out a comprehensive investigation of the quasiparticle properties of a two-dimensional electron gas, interacting via the long-range Coulomb interaction, in the presence of bare mass anisotropy (i.e. with an elliptic…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Seongjin Ahn , S. Das Sarma

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

Using the renormalized-ring-diagram approximation, we study the compressibility of the interacting electrons in bilayer graphene. The compressibility is equivalent to the spin susceptibility apart from a constant factor. The chemical…

Strongly Correlated Electrons · Physics 2015-05-27 Xin-Zhong Yan , C. S. Ting

We develop a theory for electron-electron interaction-induced many-body effects in three dimensional (3D) Weyl or Dirac semimetals, including interaction corrections to the polarizability, electron self-energy, and vertex function, up to…

Mesoscale and Nanoscale Physics · Physics 2015-09-07 Robert E. Throckmorton , Johannes Hofmann , Edwin Barnes , S. Das Sarma

We consider a lattice model of twisted bilayer graphene (TBG) for incommensurate twist angles, focusing on the role of large-momentum-transfer Umklapp terms. These terms, which nearly connect the Fermi points of different layers, are…

Strongly Correlated Electrons · Physics 2026-03-31 Ian Jauslin , Vieri Mastropietro

An improved generator for continuous unitary transformations is introduced to describe systems with unstable quasiparticles. Its general properties are derived and discussed. To illustrate this approach we investigate the asymmetric…

Strongly Correlated Electrons · Physics 2015-03-13 Tim Fischer , Sebastian Duffe , Götz S. Uhrig

In the present paper, we describe the antiferromagnetic and excitonic correlations in the AA-stacked bilayer graphene. We consider the applied external electric field potential to the structure which leads to the electronic charge imbalance…

Strongly Correlated Electrons · Physics 2021-12-16 V. Apinyan , T. K. Kopec

Close to charge neutrality, the low-energy properties of high-quality suspended devices based on atomically thin graphene layers are determined by electron-electron interactions. Bernal-stacked layers, in particular, have shown a remarkable…

Strongly Correlated Electrons · Physics 2016-10-20 Youngwoo Nam , Dong-Keun Ki , Mikito Koshino , Edward McCann , Alberto F. Morpurgo

A perpendicular electric field breaks the layer symmetry of Bernal-stacked bilayer graphene, resulting in the opening of a band gap and a modification of the effective mass of the charge carriers. Using scanning tunneling microscopy and…

We address the puzzling weak-coupling perturbative behavior of graphene interaction effects as manifested experimentally, in spite of the effective fine structure constant being large, by calculating the effect of Coulomb interactions on…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 Johannes Hofmann , Edwin Barnes , S. Das Sarma

Using a non-perturbative functional renormalization group approach we calculate the renormalized quasi-particle velocity $v (k)$ and the static dielectric function $\epsilon ( k )$ of suspended graphene as functions of an external momentum…

Strongly Correlated Electrons · Physics 2015-12-08 Carsten Bauer , Andreas Rückriegel , Anand Sharma , Peter Kopietz

Recent experiments reveal a significant increase in the graphene Fermi velocity close to charge neutrality. This has widely been interpreted as a confirmation of the logarithmic divergence of the graphene Fermi velocity predicted by a…

Strongly Correlated Electrons · Physics 2017-08-01 Mirco Milletarì , Shaffique Adam

Graphene is a two dimensional crystal of carbon atoms with fascinating electronic and morphological properties. The low energy excitations of the neutral, clean system are described by a massless Dirac Hamiltonian in (2+1) dimensions which…

Strongly Correlated Electrons · Physics 2011-07-28 Maria A. H. Vozmediano

We show that a strongly renormalized band of polaronic quasiparticle excitations is induced at the Fermi level of an interacting many-electron system on increasing the coupling of the electrons to local phonons. We give results for the…

Strongly Correlated Electrons · Physics 2009-11-11 W. Koller , A. C. Hewson , D. M. Edwards

We show that characteristics of the electron's form factor in two-dimensional materials are observable in quasiparticle interference (QPI) spectrum. We study QPI in twisted bilayer graphene using real-space tight-binding calculations…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 D. -H. -Minh Nguyen , Francisco Guinea , Dario Bercioux