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We study the emergence of superconductivity in rhombohedral trilayer graphene due purely to the long-range Coulomb repulsion. This repulsive-interaction-driven phase in rhombohedral trilayer graphene is significantly different from those…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Tommaso Cea , Pierre A. Pantaleón , Vo Tien Phong , Francisco Guinea

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Maria A. H. Vozmediano , Francisco Guinea

It is a matter of current debate whether the gate-tunable superconductivity in twisted bilayer graphene is phonon-mediated or arises from electron-electron interactions. The recent observation of the strong coupling of electrons to…

Superconductivity · Physics 2026-03-20 Glenn Wagner , Yves H. Kwan , Nick Bultinck , Steven H. Simon , S. A. Parameswaran

In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly…

Strongly Correlated Electrons · Physics 2023-07-18 Rose Davies , Igor V. Lerner , Igor V. Yurkevich

Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic…

Strongly Correlated Electrons · Physics 2013-04-10 Hao Wang , Jin-Hua Gao , Fu-Chun Zhang

We study Coulomb drag in double-layer graphene near the Dirac point. A particular emphasis is put on the case of clean graphene, with transport properties dominated by the electron-electron interaction. Using the quantum kinetic equation…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 M. Schütt , P. M. Ostrovsky , M. Titov , I. V. Gornyi , B. N. Narozhny , A. D. Mirlin

In a magnetic field two-dimensional (2d) electron systems host, with quenched kinetic energy, a variety of many-body correlation phenomena, such as interaction-driven new states and associated collective excitations over them. In a magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 K. Shizuya

Flat band moir\'e graphene systems have emerged as a quintessential platform to investigate correlated phases of matter. A plethora of interaction-driven ground states have been proposed, and yet despite extensive experimental effort, there…

Electron correlation effects caused by the topological zero mode of a hydrogenated graphene vacancy, $V_{111}$, with three adsorbed hydrogen atoms is discussed theoretically. A Kondo model is derived from the multi-reference representation…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Naoki Morishita , Gagus Ketut Sunnardianto , Koichi Kusakabe , Isao Maruyama , Kazuyuki Takai , Toshiaki Enoki

We investigate transport through a finite interacting wire connected to noninteracting leads. The conductance of the pure wire is not renormalized by the interactions for any spatial variation of the interaction parameters $u,K$, and not…

Condensed Matter · Physics 2007-05-23 I. Safi , H. J. Schulz

The effects of intrinsic spin-orbit and Coulomb interactions on low-energy properties of finite width graphene armchair ribbons are studied by means of a Dirac Hamiltonian. It is shown that metallic states subsist in the presence of…

Strongly Correlated Electrons · Physics 2012-02-01 Mahdi Zarea , Nancy Sandler

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

The zero-temperature linear response conductance through an interacting mesoscopic region attached to noninteracting leads is investigated. We present a set of formulae expressing the conductance in terms of the ground-state energy or…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tomaz Rejec , Anton Ramsak

The zero-temperature linear response conductance through an interacting mesoscopic region attached to noninteracting leads is investigated. We present a set of formulas expressing the conductance in terms of the ground-state energy of an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Anton Ramsak , Tomaz Rejec

We investigate spin effects in transport across fully interacting, finite size graphene armchair nanoribbons (ACNs) contacted to collinearly spin-polarized leads. In such systems, the presence of short ranged Coulomb interaction between…

Mesoscale and Nanoscale Physics · Physics 2010-03-29 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

Few layers of graphene at small twist-angles have emerged as a fascinating platform for studying the problem of strong interactions in regimes with a nearly quenched single-particle kinetic energy and non-trivial band topology. Starting…

Strongly Correlated Electrons · Physics 2024-11-06 J. F. Mendez-Valderrama , Dan Mao , Debanjan Chowdhury

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important and account for the band asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. S. L. Abergel , Tapash Chakraborty

We theoretically calculate the interaction-induced frictional Coulomb drag resistivity between two graphene monolayers as well as between two graphene bilayers, which are spatially separated by a distance "$d$". We show that the drag…

Mesoscale and Nanoscale Physics · Physics 2011-12-23 E. H. Hwang , Rajdeep Sensarma , S. Das Sarma

Idealized graphene monolayer is considered neglecting the van der Waals potential of the substrate and the role of the nonmagnetic impurities. The effect of the long-range Coulomb repulsion in an ensemble of Dirac fermions on the formation…

Superconductivity · Physics 2015-06-23 M. Yu. Kagan , V. V. Val'kov , V. A. Mitskan , M. M. Korovushkin

The electronic properties of a graphene monolayer in a magnetic and a strain-induced pseudo-magnetic field are studied in the presence of spin-orbit interactions (SOI) that are artificially enhanced, e.g., by suitable adatom deposition. For…

Mesoscale and Nanoscale Physics · Physics 2011-10-14 A. De Martino , A. Hütten , R. Egger