Gate induced enhancement of spin-orbit coupling in dilute fluorinated graphene

We analyze the origin of spin-orbit coupling (SOC) in fluorinated graphene using Density Functional Theory (DFT) and a tight-binding model for the relevant orbitals. As it turns out, the dominant source of SOC is the atomic spin-orbit of fluorine adatoms and not the impurity induced SOC based on the distortion of the graphene plane as in hydrogenated graphene. More interestingly, our DFT calculations show that SOC is strongly affected by both the type and concentrations of the graphene's carriers, being enhanced by electron doping and reduced by hole doping. This effect is due to the charge transfer to the fluorine adatom and the consequent change in the fluorine-carbon bonding. Our simple tight-binding model, that includes the SOC of the $2p$ orbitals of F and effective parameters based on maximally localized Wannier functions, is able to account for the effect. The strong enhancement of the SOC induced by graphene doping opens the possibility to tune the spin relaxation in this material.Comment: 9 pages, 8 figure

Diffusion of fluorine adatoms on doped graphene

We calculate the diffusion barrier of fluorine adatoms on doped graphene in the diluted limit using Density Functional Theory. We found that the barrier $\Delta$ strongly depends on the magnitude and character of the graphene's doping ($\delta n$): it increases for hole doping ($\delta n<0$) and decreases for electron doping ($\delta n>0$). Near the neutrality point the functional dependence can be approximately by $\Delta=\Delta_0-\alpha\, \delta n$ where $\alpha\simeq6\times10^{-12}$ meVcm$^2$. This effect leads to significant changes of the diffusion constant with doping even at room temperature and could also affect the low temperature diffusion dynamics due to the presence of substrate induced charge puddles. In addition, this might open up the possibility to engineer the F dynamics on graphene by using local gates.Comment: 4 pages, 4 figure

Study of the leptonic decays of pseudoscalar B,DB, D and vector B∗,D∗B^*, D^* mesons and of the semileptonic B→DB\to D and B→D∗B\to D^* decays

We present results for different observables in weak decays of pseudoscalar and vector mesons with a heavy $c$ or $b$ quark. The calculations are done in a nonrelativistic constituent quark model improved at some instances by heavy quark effective theory constraints. We determine pseudoscalar and vector meson decay constants that within a few per cent satisfy $f_V M_V/f_P M_P=1$, a result expected in heavy quark symmetry when the heavy quark masses tend to infinity. We also analyze the semileptonic $B\to D$ and $B\to D^*$ decays for which we evaluate the different form factors. Here we impose heavy quark effective theory constraints among form factors that are not satisfied by a direct quark model calculation. The value of the form factors at zero recoil allows us to determine, by comparison with experimental data, the value of the $|V_{cb}|$ Cabbibo-Kobayashi-Maskawa matrix element. From the $B\to D$ semileptonic decay we get $|V_{cb}|=0.040\pm0.006$ in perfect agreement with our previous determination based on the study of the semileptonic $\Lambda_b\to \Lambda_c$ decay and also in excellent agreement with a recent experimental determination by the DELPHI Collaboration. We further make use of the partial conservation of axial current hypothesis to determine the strong coupling constants $g_{B^*B\pi}(0)=60.5\pm 1.1$ and $g_{D^*D\pi}(0)=22.1\pm0.4$. The ratio $R=(g_{B^*B\pi}(0) f_{B^*}\sqrt{M_D})/ (g_{D^*D\pi}(0) f_{D^*}\sqrt{M_B})=1.105\pm0.005$ agrees with the heavy quark symmetry prediction of 1.Comment: 19 Latex pages,6 figures, references added, corrected typos, content enlarge

On the components of the unstable set of isolated invariant sets

The aim of this note is to shed some light on the topological structure of the unstable set of an isolated invariant set K. We give a bound on the number of essential quasicomponents of the unstable set of K in terms of the homological Conley index of K. The proof relies on an explicit pairing between Čech homology classes and Alexander–Spanier cohomology classes that takes the form of an integral.Depto. de Álgebra, Geometría y TopologíaFac. de Ciencias MatemáticasTRUEMinisterio de Ciencia, Innovación y Universidadespu

¿Fotografiamos el color tal y como lo percibimos?

Pretendemos en este trabajo que nuestros alumnos conozcan algunos aspectos de nuestro sistema visual, en concreto aquellos referidos a la visión del color, usando para ello un dispositivo tan familiar y tan común como su propia cámara digital.Palabras clave: color; reflectancia; iluminante; balance de blanco.Do we really take pictures of colors as we perceive them?We intend in this work that our students know some aspects of our visual system, specifically those related to color vision, that can use it as something familiar and as common as their own digital camera.Keywords: color; reflectance; illuminant; white balance

Study of the strong Σc→Λcπ\Sigma_c\to \Lambda_c \pi, Σc∗→Λcπ\Sigma_c^{*}\to \Lambda_c \pi and Ξc∗→Ξcπ\Xi_c^{*}\to \Xi_c \pi decays in a nonrelativistic quark model

We present results for the strong widths corresponding to the $\Sigma_c\to \Lambda_c \pi$, $\Sigma_c^{*}\to \Lambda_c \pi$ and $\Xi_c^{*}\to \Xi_c \pi$ decays. The calculations have been done in a nonrelativistic constituent quark model with wave functions that take advantage of the constraints imposed by heavy quark symmetry. Partial conservation of axial current hypothesis allows us to determine the strong vertices from an analysis of the axial current matrix elements. Our results \hbox{$\Gamma(\Sigma_c^{++}\to \Lambda_c^+ \pi^+)=2.41 \pm0.07\pm0.02 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{+}\to \Lambda_c^+ \pi^0)=2.79 \pm0.08\pm0.02 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{0}\to \Lambda_c^+ \pi^-)=2.37 \pm0.07\pm0.02 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{* ++}\to \Lambda_c^+ \pi^+)=17.52\pm0.74\pm0.12 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{* +}\to \Lambda_c^+ \pi^0)=17.31\pm0.73\pm0.12 \mathrm{MeV}$}, {$\Gamma(\Sigma_c^{* 0}\to \Lambda_c^+ \pi^-)=16.90\pm0.71\pm0.12 \mathrm{MeV}$}, {$\Gamma(\Xi_c^{* +}\to \Xi_c^0 \pi^++\Xi_c^+\pi^0)=3.18\pm0.10\pm0.01 \mathrm{MeV}$} and {$\Gamma(\Xi_c^{* 0}\to \Xi_c^+ \pi^-+\Xi_c^0\pi^0)=3.03\pm0.10\pm0.01 \mathrm{MeV}$} are in good agreement with experimental determinations.Comment: 8 latex pages. Shortened version accepted for publication in Physical Review

Study of exclusive semileptonic and nonleptonic decays of B-c(-) in a nonrelativistic quark model

We present results for different observables measured in semileptonic and nonleptonic decays of the B-c(-) meson. The calculations have been done within the framework of a nonrelativistic constituent quark model. In order to check the sensitivity of all our results against the interquark interaction we use five different quark-quark potentials. We obtain form factors, decay widths, and asymmetry parameters for semileptonic B-c(-)-> c (c) over bar and B-c(-)->(B) over bar decays. In the limit of infinite heavy quark mass, our model reproduces the constraints of heavy quark spin symmetry. For the actual heavy quark masses we find nonetheless large corrections to that limiting situation for some form factors. We also analyze exclusive nonleptonic two-meson decay channels within the factorization approximation

Fermion contribution to the static quantities of arbitrarily charged vector bosons

We present an analysis of the one-loop contribution from left- and right-handed fermions to the static electromagnetic properties of an arbitrarily charged no self-conjugate vector boson $V$. Particular emphasis is given to the case of a no self-conjugate neutral boson $V^0$. Regardless the electric charge of the $V$ boson, a fermionic loop can induce the two CP-even form factors but only one CP-odd. As a result the corresponding electric dipole moment is directly proportional to the magnetic quadrupole moment. The CP-odd form factor might be severely suppressed since it requires the presence of both left- and right-handed fermions. The behavior of the form factors is analyzed for several scenarios of the fermion masses in the context of the decoupling theorem.Comment: 12 pages, 3 figures, submitted to Journal of Physics

The two pion decay of the Roper resonance

We evaluate the two pion decay of the Roper resonance in a model where explicit re-scattering of the two final pions is accounted for by the use of unitarized chiral perturbation theory. Our model does not include an explicit $\epsilon$ or $\sigma$ scalar-isoscalar meson decay mode, instead it generates it dynamically by means of the pion re-scattering. The two ways, explicit or dynamically generated, of introducing this decay channel have very different amplitudes. Nevertheless, through interference with the other terms of the model we are able to reproduce the same phenomenology as models with explicit consideration of the $\epsilon$ meson.Comment: 17 latex pages, 11 eps figures. A few misprints corrected. A few new references. Version accepted for publication in Phys. Rev.