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Starting from the Flohlich electron-phonon model, which has a history of 50 years, a new unitary transformation is proposed to implement the perturbation treatment. Our main results are: (1)The phonon-induced interaction shows a crossover…

Strongly Correlated Electrons · Physics 2007-05-23 H. Zheng

We study transport between Quantum Hall (QH) edge states at filling factor $\nu = 1$ in the presence of electron-acoustic-phonon coupling. Performing a Bogoliubov-Valatin (BV) trasformation the low-energy spectrum of interacting…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Edvin G. Idrisov

We study the variations of electron-phonon coupling and their spectroscopic consequences in response to sliding of two layers in bilayer graphene using first-principles calculations and a model Hamiltonian. Our study shows that the long…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Seon-Myeong Choi , Seung-Hoon Jhi , Young-Woo Son

Kohn anomalies in three-dimensional metallic crystals are dips in the phonon dispersion that are caused by abrupt changes in the screening of the ion-cores by the surrounding electron-gas. These anomalies are also present at the…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 F. Forster , A. Molina-Sanchez , S. Engels , A. Epping , K. Watanabe , T. Taniguchi , L. Wirtz , C. Stampfer

We investigate the dispersion relations of TE resonances in different graphene-dielectric structures. Previous work has shown that when a graphene layer is brought into contact with a dielectric material, a gap can appear in its electric…

Optics · Physics 2016-05-04 Julia F. M. Werra , Francesco Intravaia , Kurt Busch

We study the effects of long and short-range electron-electron interactions in a graphene bilayer. Using a variational wavefunction technique we show that in the presence of long-range Coulomb interactions the clean bilayer is always…

Strongly Correlated Electrons · Physics 2009-11-11 Johan Nilsson , A. H. Castro Neto , N. M. R. Peres , F. Guinea

A Raman study of a back gated bilayer graphene sample is presented. The changes in the Fermi level induced by charge transfer splits the Raman G-band, hardening its higher component and softening the lower one. These two components are…

Mesoscale and Nanoscale Physics · Physics 2008-12-16 L. M. Malard , D. C. Elias , E. S. Alves , M. A. Pimenta

In this Letter, we derive an effective theory of graphene on a hexagonal Boron Nitride (h-BN) substrate. We show that the h-BN substrate generically opens a spectral gap in graphene despite the lattice mismatch. The origin of that gap is…

Mesoscale and Nanoscale Physics · Physics 2012-11-12 M. Kindermann , Bruno Uchoa , D. L. Miller

We calculate the effect of the electron-phonon interaction on the electronic density of states (DOS), the quasiparticle properties and on the optical conductivity of graphene. In metals with DOS constant on the scale of phonon energies, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. P. Carbotte , E. J. Nicol , S. G. Sharapov

The two-dimensional mapping of the phonon dispersions around the $K$ point of graphite by inelastic x-ray scattering is provided. The present work resolves the longstanding issue related to the correct assignment of transverse and…

Strongly Correlated Electrons · Physics 2015-05-13 A. Grüneis , J. Serrano , A. Bosak , M. Lazzeri , S. L. Molodtsov , L. Wirtz , C. Attaccalite , M. Krisch , A. Rubio , F. Mauri , T. Pichler

Unique electronic band structure of graphene with its semi-metallic features near the charge neutrality point is sensitive to impurity effects. Using the Lifshitz and Anderson impurity models, we study in detail the disorder induced…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Yuriy G. Pogorelov , Vadim M. Loktev , Denis Kochan

While many physical properties of graphene can be understood qualitatively on the basis of bare Dirac bands, there is specific evidence that electron-electron (EE) and electron-phonon (EP) interactions can also play an important role. We…

Strongly Correlated Electrons · Physics 2015-06-04 J. P. F. LeBlanc , Jungseek Hwang , J. P. Carbotte

Graphene features topological edge bands that connect the pair of Dirac points through either sectors of the 1D Brillouin zone depending on edge configurations (zigzag or bearded). Because of their flat dispersion, spontaneous edge…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 Tixuan Tan , Fengren Fan , Ci Li , Wang Yao

The effects of the electron-electron interactions in a graphene layer are investigated. It is shown that short range couplings are irrelevant, and scale towards zero at low energies, due to the vanishing of density of states at the Fermi…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

The finite momentum transfer ($\boldsymbol{q}$) longitudinal optical response $\sigma^L(\boldsymbol{q},\omega)$ of graphene has a peak at an energy $\omega=\hbar v_F q$. This corresponds directly to a quasiparticle peak in the spectral…

Mesoscale and Nanoscale Physics · Physics 2013-01-11 J. P. Carbotte , J. P. F. LeBlanc , Phillip E. C. Ashby

We investigate the influence of the electron-phonon coupling in the one-dimensional spinless Holstein model at half-filling using both a recently developed projector-based renormalization method (PRM) and an refined exact diagonalization…

Strongly Correlated Electrons · Physics 2009-11-10 S. Sykora , A. Huebsch , K. W. Becker , G. Wellein , H. Fehske

The electronic structure of condensed matter can be significantly affected by the electron-phonon interaction, leading to important phenomena such as electrical resistance, superconductivity or the formation of polarons. This interaction is…

Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

We use polarized magneto-Raman scattering to study purely electronic excitations and the electron-phonon coupling in bulk graphite. At a temperature of 4.2 K and in magnetic fields up to 28 T we observe $K$-point electronic excitations…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 P. Kossacki , C. Faugeras , M. Kühne , M. Orlita , A. A. L. Nicolet , J. M. Schneider , D. M. Basko , Y. I. Latyshev , M. Potemski

The interplay of electron-electron and electron-phonon interactions is studied analytically in the Kondo regime. A Holstein electron-phonon coupling is shown to produce a weakening of the gate voltage dependence of the Kondo temperature and…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Balseiro , P. S. Cornaglia , D. R. Grempel