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We study the possibility of excitonic pairing in layered degenerate semimetals such as graphite, where the electron density of states almost vanishes at the Fermi level and, therefore, the Coulomb interactions remain essentially unscreened.…

Condensed Matter · Physics 2009-11-10 H. Leal , D. V. Khveshchenko

The properties of a system of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion are investigated. In the mean-field approximation without Coulomb interaction, the system…

Strongly Correlated Electrons · Physics 2008-11-19 T. Mertelj , V. V. Kabanov , D. Mihailovic

We analyze the phase diagram of twisted graphene bilayers near a magic angle. We consider the effect of the long range Coulomb interaction, treated within the self consistent Hartree-Fock approximation, and we study arbitrary band fillings.…

Strongly Correlated Electrons · Physics 2020-07-15 Tommaso Cea , Francisco Guinea

By using the constrained-phase quantum Monte Carlo method, we performed a systematic study of the ground state of the half filled Hubbard model for a trilayer honeycomb lattice. We analyze the effect of the perpendicular electric field on…

Strongly Correlated Electrons · Physics 2023-06-07 Huijia Dai , Runyu Ma , Xiao Zhang , Ting Guo , Tianxing Ma

We study the atomic collapse phenomenon in $K$ and $K'$ valley of gapped graphene. Bound states induced by Coulomb impurity in the gap turn into atomic collapse resonances as the charge increases beyond the supercritical charge $Z_c$. $Z_c$…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Jing Wang , Xiaotai Wu , Wen-Sheng Zhao , Yuhua Cheng , Yue Hu , Francois M. Peeters

This work theoretically analyzes electronic ordering in AA-stacked bilayer graphene and the role of the Coulomb interaction in these many-body phenomena. Using the random phase approximation to account for screening, we find intra-layer…

Superconductivity · Physics 2024-10-15 A. O. Sboychakov , A. L. Rakhmanov , A. V. Rozhkov

We study the conditions for spontaneously generating an excitonic mass gap due to Coulomb interactions between anisotropic Dirac fermions in uniaxially strained graphene. The mass gap equation is realized as a self-consistent solution for…

Strongly Correlated Electrons · Physics 2017-06-15 Anand Sharma , Valeri N. Kotov , Antonio H. Castro Neto

Graphene nanodisk is a graphene derivative with a closed edge. The trigonal zigzag nanodisk with size $N$ has $N$-fold degenerated zero-energy states. We investigate electron-electron interaction effects in the zero-energy sector. We…

Strongly Correlated Electrons · Physics 2008-04-10 Motohiko Ezawa

Recent progress in treating the dynamically screened nature of the Coulomb interaction in strongly correlated lattice models and materials is reviewed with a focus on computational schemes based on the dynamical mean field approximation. We…

Strongly Correlated Electrons · Physics 2016-08-09 Philipp Werner , Michele Casula

Localized magnetic moments have been predicted to develop in graphene samples with vacancies or adsorbates. The interplay between such magnetic impurities and graphene's Dirac quasiparticles leads to remarkable many-body phenomena, which…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 David A. Ruiz-Tijerina , Luis G. G. V. Dias da Silva

Considerable efforts have been made to trap massless Dirac fermions in graphene monolayer, but only quasi-bound states are realized in continuous graphene sheets up to now. Here, we demonstrate the realization of bound states in nanoscale…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Hong Yang , Ning Yang , Kai-Yao Qiao , Lin He

Two-dimensional (2D) atom lattices provide model setups for Coulomb correlations inducing competing ground states, partly with topological character. Hexagonal SiC(0001) is an intriguing wide-gap substrate, spectroscopically separated from…

Strongly Correlated Electrons · Physics 2015-06-29 Stefan Glass , Gang Li , Florian Adler , Julian Aulbach , Andrzej Fleszar , Ronny Thomale , Werner Hanke , Ralph Claessen , Jörg Schäfer

We investigate the electronic structure of the flat bands induced by moir\'e superlattices and electric fields in nearly aligned ABC trilayer graphene-boron nitride interfaces where Coulomb effects can lead to correlated gapped phases. Our…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Bheema Lingam Chittari , Guorui Chen , Yuanbo Zhang , Feng Wang , Jeil Jung

The ability to perform first-principles calculations of electronic and vibrational properties of two-dimensional heterostructures in a field-effect setup is crucial for the understanding and design of next-generation devices. We present…

Materials Science · Physics 2017-09-06 Thibault Sohier , Matteo Calandra , Francesco Mauri

The performance of nanoscale electronic devices based on a two-three dimensional (2D-3D) interface is significantly affected by the electrical contacts that interconnect these materials with external circuitry. This work investigates charge…

Since its discovery in 2004, graphene, a two-dimensional hexagonal carbon allotrope, has generated great interest and spurred research activity from materials science to particle physics and vice versa. In particular, graphene has been…

High Energy Physics - Lattice · Physics 2010-11-03 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

We explore the conditions for chiral symmetry breaking in reduced (or pseudo) quantum electrodynamics at finite temperature in connection with graphene and other 2D-materials with an underlying Dirac behavior of the charge carriers. By…

High Energy Physics - Theory · Physics 2020-09-30 Jean Báez , Alfredo Raya , J. C. Rojas

We explore the longitudinal conductivity of graphene at the Dirac point in a strong magnetic field with two types of short-range scatterers: adatoms that mix the valleys and "scalar" impurities that do not mix them. A scattering theory for…

Mesoscale and Nanoscale Physics · Physics 2014-01-16 S. Gattenloehner , W. -R. Hannes , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin , M. Titov

Based on the quantum kinetic equations for systems with SU(2) structure, regularization-free density and pseudospin currents are calculated in graphene realized as the infinite mass-limit of electrons with quadratic dispersion and a proper…

Materials Science · Physics 2017-07-13 K. Morawetz

Graphene is an ideal material to study fundamental Coulomb- and phonon-induced carrier scattering processes. Its remarkable gapless and linear band structure opens up new carrier relaxation channels. In particular, Auger scattering bridging…

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