28 research outputs found
Interactions, disorder and local defects in graphite
Recent experiments report the existence of ferromagnetic and superconducting
fluctuations in graphite at unexpectedly high temperatures. The interplay of
disorder and interactions in a 2D graphene layer is shown to give rise to a
rich phase diagram where strong coupling phases can become stable. Local
defects can explain the ferromagnetic signals.Comment: Presented at SNS'2004, Sitges,Spain, July 11-16,2004, being
considered for publication in Jour.Phys.Chem.Solid
The Electronic Spectrum of Fullerenes from the Dirac Equation
The electronic spectrum of sheets of graphite (plane honeycomb lattice)
folded into regular polihedra is studied. A continuum limit valid for
sufficiently large molecules and based on a tight binding approximation is
derived. It is found that a Dirac equation describes the flat graphite lattice.
Curving the lattice by insertion of odd numbered rings can be mimicked by
coupling effective gauge fields. In particular the and related
molecules are well described by the Dirac equation on the surface of a sphere
coupled to a color monopole sitting at its center.Comment: 29 pages, 7 figures. IASSNS-HEP-92/5
Properties of electrons near a Van Hove singularity
The Fermi surface of most hole-doped cuprates is close to a Van Hove
singularity at the M point. A two-dimensional electronic system, whose Fermi
surface is close to a Van Hove singularity shows a variety of weak coupling
instabilities. It is a convenient model to study the interplay between
antiferromagnetism and anisotropic superconductivity. The renormalization group
approach is reviewed with emphasis on the underlying physical processes.
General properties of the phase diagram and possible deformations of the Fermi
surface due to the Van Hove proximity are described.Comment: Proceedings of SNS-01 to appear in the Journal of Physics and
Chemistry of Solids, SNS-0
Renormalization Group Approach to the Normal State of Copper-Oxide Superconductors
We study by means of renormalization group techniques the effect that on the
two-dimensional electron liquid may have the van Hove singularities observed
experimentally in the copper-oxide superconductors. We find significant
deviations from Fermi liquid behavior, that lead to the appearance of an
unstable fixed point in the renormalization group flow of the effective
coupling constant. Besides the attenuation of electron quasiparticles already
known on phenomenological grounds, our approach is able to explain the
reduction in the dispersion of the band as well as the pinning of the Fermi
level near the singularity, as observed in the photoemission experiments.Comment: Latex manuscript, 29 pages, 4 postcript figure
Indications of coherence-incoherence crossover in layered transport
For many layered metals the temperature dependence of the interlayer
resistance has a different behavior than the intralayer resistance. In order to
better understand interlayer transport we consider a concrete model which
exhibits this behavior. A small polaron model is used to illustrate how the
interlayer transport is related to the coherence of quasi-particles within the
layers. Explicit results are given for the electron spectral function,
interlayer optical conductivity and the interlayer magnetoresistance. All these
quantities have two contributions: one coherent (dominant at low temperatures)
and one incoherent (dominant at high temperatures).Comment: 6 pages, 4 figures, REVTEX
Quantum field theory approach to the optical conductivity of strained and deformed graphene
The computation of the optical conductivity of strained and deformed graphene is discussed within the framework of quantum field theory in curved spaces. The analytical solutions of the Dirac equation in an arbitrary static background geometry for one dimensional periodic deformations are computed, together with the corresponding Dirac propagator. Analytical expressions are given for the optical conductivity of strained and deformed graphene associated with both intra and interbrand transitions. The special case of small deformations is discussed and the result compared to the prediction of the tight-binding model.The authors acknowledge financial supportfrom the Brazilian agencies FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) and CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico)
Interlayer hopping properties of electrons in layered metals
A formalism is proposed to study the electron tunneling between extended
states, based on the spin-boson Hamiltonian previously used in two-level
systems. It is applied to analyze the out--of--plane tunneling in layered
metals considering different models. By studying the effects of in--plane
interactions on the interlayer tunneling of electrons near the Fermi level, we
establish the relation between departure from Fermi liquid behavior driven by
electron correlations inside the layer and the out of plane coherence. Response
functions, directly comparable with experimental data are obtained
Faraday rotation in graphene
We study magneto--optical properties of monolayer graphene by means of
quantum field theory methods in the framework of the Dirac model. We reveal a
good agreement between the Dirac model and a recent experiment on giant Faraday
rotation in cyclotron resonance. We also predict other regimes when the effects
are well pronounced. The general dependence of the Faraday rotation and
absorption on various parameters of samples is revealed both for suspended and
epitaxial graphene.Comment: 10 pp; v2: typos corrected and references added, v3, v4: small
changes and more reference
Interplay between edge states and simple bulk defects in graphene nanoribbons
We study the interplay between the edge states and a single impurity in a
zigzag graphene nanoribbon. We use tight-binding exact diagonalization
techniques, as well as density functional theory calculations to obtain the
eigenvalue spectrum, the eigenfunctions, as well the dependence of the local
density of states (LDOS) on energy and position. We note that roughly half of
the unperturbed eigenstates in the spectrum of the finite-size ribbon hybridize
with the impurity state, and the corresponding eigenvalues are shifted with
respect to their unperturbed values. The maximum shift and hybridization occur
for a state whose energy is inverse proportional to the impurity potential;
this energy is that of the impurity peak in the DOS spectrum. We find that the
interference between the impurity and the edge gives rise to peculiar
modifications of the LDOS of the nanoribbon, in particular to oscillations of
the edge LDOS. These effects depend on the size of the system, and decay with
the distance between the edge and the impurity.Comment: 10 pages, 15 figures, revtex
Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
We study the physics of Dirac fermions in a gapped graphene monolayer containing two Coulomb impurities. For the case of equal impurity charges, we discuss the ground-state energy using the linear combination of atomic orbitals (LCAO) approach. For opposite charges of the Coulomb centers, an electric dipole potential results at large distances. We provide a nonperturbative analysis of the corresponding low-energy scattering problem