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We aim to understand how the spectrum of semi-Dirac fermions is renormalized due to long-range Coulomb electron-electron interactions at a topological Lifshitz transition, where two Dirac cones merge. At the transition, the electronic…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Valeri N. Kotov , Bruno Uchoa , Oleg P. Sushkov

We report extensive first-principles calculations of the inelastic lifetime of low-energy electrons in the noble metals Cu, Ag, and Au. The quasiparticle self-energy is computed with full inclusion of exchange and correlation (xc) effects,…

Materials Science · Physics 2009-11-10 I. G. Gurtubay , J. M. Pitarke , P. M. Echenique

We study interacting Dirac quasiparticles in disordered graphene and find that an interplay between the unscreened Coulomb interactions and pseudo-relativistic quasiparticle kinematics can be best revealed in the ballistic regime, whereas…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. V. Khveshchenko

A weak perpendicular magnetic field, $B$, breaks the chiral symmetry of each valley in the electron spectrum of graphene, preserving the overall chiral symmetry in the Brillouin zone. We explore the consequences of this symmetry breaking…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Ke Wang , M. E. Raikh , T. A. Sedrakyan

We investigate the effect of long-range Coulomb interaction on the quasiparticle properties and the dielectric function of clean three-dimensional Weyl semimetals at zero temperature using a functional renormalization group (FRG) approach.…

Strongly Correlated Electrons · Physics 2018-03-15 Anand Sharma , Arthur Scammell , Jan Krieg , Peter Kopietz

Electrons in graphene with heavy adatoms (such as In or Tl) have been predicted to form a 2D topological insulator phase with a substantial spectral gap potentially suitable for future practical applications. In order to facilitate the…

Mesoscale and Nanoscale Physics · Physics 2014-06-02 Paul Soulé , Marcel Franz

The electronic band structure of ABC-stacked multilayer graphene is studied within an effective mass approximation. The electron and hole bands touching at zero energy support chiral quasiparticles characterized by Berry's phase N pi for…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Mikito Koshino , Edward McCann

The occurrence of superconducting and insulating phases is well-established in twisted graphene bilayers, and they have also been reported in other arrangements of graphene layers. We investigate three such arrangements: untwisted AB…

Strongly Correlated Electrons · Physics 2021-08-11 Pierre A. Pantaleon , Tommaso Cea , Rory Brown , Niels R. Walet , Francisco Guinea

We study the role of long-range electron-electron interactions in a system of two-dimensional anisotropic Dirac fermions, which naturally appear in uniaxially strained graphene, graphene in external potentials, some strongly anisotropic…

Strongly Correlated Electrons · Physics 2012-07-24 Anand Sharma , Valeri N. Kotov , Antonio H. Castro Neto

Electron fractionalization is intimately related to topology. In one-dimensional systems, fractionally charged states exist at domain walls between degenerate vacua. In two-dimensional systems, fractionalization exists in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Chang-Yu Hou , Claudio Chamon , Christopher Mudry

We present a numerical study of three-layer graphene heterostructures in which the layers are twisted by the magic angle ($\sim$1.1$^\circ$) or by $\sim$$30^\circ$ to form a graphene quasicrystal. The heterostacks are described using…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Pedro Alcázar Guerrero , Viet-Hung Nguyen , Aron W. Cummings , Jean-Christophe Charlier , Stephan Roche

In tetralayer graphene, three inequivalent layer stackings should exist, however, only rhombohedral (ABCA) and Bernal (ABAB) stacking have so far been observed. The three stacking sequences differ in their electronic structure, with the…

In this Ph.D. thesis a model for graphene in presence of quantized electromagnetic interactions is introduced. The zero and low temperature properties of the model are studied using rigorous renormalization group methods and lattice Ward…

Strongly Correlated Electrons · Physics 2011-05-09 Marcello Porta

We develop a theory for the optical conductivity of doped multilayer graphene including the effects of electron-electron interactions. Applying the quantum kinetic formalism, we formulate a set of pseudospin Bloch equations that governs the…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Xiao Li , Wang-Kong Tse

The atomic and electronic structures of a graphene layer on top of the $(2\times2)$ reconstruction of the SiC (000$\bar{1}$) surface are studied from ab initio calculations. At variance with the (0001) face, no C bufferlayer is found here.…

Materials Science · Physics 2015-05-13 L. Magaud , F. Hiebel , F. Varchon , P. Mallet , J. -Y. Veuillen

We calculate the effect of order parameter fluctuations on the fermionic single-particle excitations in the superfluid state of neutral fermions interacting with short range attractive forces. We show that in dimensions D \leq 3 the…

Superconductivity · Physics 2008-02-07 Nils Lerch , Lorenz Bartosch , Peter Kopietz

A-B stacked bilayer graphene has massive electron and hole-like excitations with zero gap in the nearest-neighbor hopping approximation. In equilibrium, the quasiparticle occupation approximately follows the usual Fermi-Dirac distribution.…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Dung X. Nguyen , Glenn Wagner , Steven H. Simon

We calculate the dynamical polarization function and solve a self-consistent gap equation in the random phase approximation in undoped ABC-stacked n-layer graphene. We find that the gap is maximal in trilayer graphene and decreases…

Strongly Correlated Electrons · Physics 2013-12-04 Junji Jia , E. V. Gorbar , V. P. Gusynin

Stacking two graphene layers twisted by the 'magic angle' $\theta \approx 1.1^\circ$ generates flat energy bands, which in turn catalyzes various strongly correlated phenomena depending on filling and sample details. At charge neutrality,…

Strongly Correlated Electrons · Physics 2021-03-24 Alex Thomson , Jason Alicea

We investigate the problem of dynamical gap generation in suspended graphene by long-range Coulomb interactions at strong coupling with Dyson-Schwinger equations. Including renormalization effects on the Fermi velocity we obtain a critical…

Strongly Correlated Electrons · Physics 2013-02-12 C. Popovici , C. S. Fischer , L. von Smekal
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