684 research outputs found
Dynamical polarization of graphene under strain
We study the dependence of the plasmon dispersion relation of graphene on
applied uniaxial strain. Besides electron correlation at the RPA level, we also
include local field effects specific for the honeycomb lattice. As a
consequence of the two-band character of the electronic band structure, we find
two distinct plasmon branches. We recover the square-root behavior of the
low-energy branch, and find a nonmonotonic dependence of the strain-induced
modification of its stiffness, as a function of the wavevector orientation with
respect to applied strain.Comment: Phys. Rev. B, accepte
Majorana: from atomic and molecular, to nuclear physics
In the centennial of Ettore Majorana's birth (1906-1938?), we re-examine some
aspects of his fundamental scientific production in atomic and molecular
physics, including a not well known short communication. There, Majorana
critically discusses Fermi's solution of the celebrated Thomas-Fermi equation
for electron screening in atoms and positive ions. We argue that some of
Majorana's seminal contributions in molecular physics already prelude to the
idea of exchange interactions (or Heisenberg-Majorana forces) in his later
workson theoretical nuclear physics. In all his papers, he tended to emphasize
the symmetries at the basis of a physical problem, as well as the limitations,
rather than the advantages, of the approximations of the method employed.Comment: to appear in Found. Phy
Ballistic transport properties across nonuniform strain barriers in graphene
We study the effect of uniaxial strain on the transmission and the
conductivity across a strain-induced barrier in graphene. At variance with
conventional studies, which consider sharp barriers, we consider a more
realistic, smooth barrier, characterized by a nonuniform, continuous strain
profile. Our results are instrumental towards a better understanding of the
transport properties in corrugated graphene.Comment: High Press. Res., to appea
New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. II
In the first part of this paper math-ph/0612078, a complete description of
Q-conditional symmetries for two classes of reaction-diffusion-convection
equations with power diffusivities is derived. It was shown that all the known
results for reaction-diffusion equations with power diffusivities follow as
particular cases from those obtained in math-ph/0612078 but not vise versa. In
the second part the symmetries obtained in are successfully applied for
constructing exact solutions of the relevant equations. In the particular case,
new exact solutions of nonlinear reaction-diffusion-convection (RDC) equations
arising in application and their natural generalizations are found
New variable separation approach: application to nonlinear diffusion equations
The concept of the derivative-dependent functional separable solution, as a
generalization to the functional separable solution, is proposed. As an
application, it is used to discuss the generalized nonlinear diffusion
equations based on the generalized conditional symmetry approach. As a
consequence, a complete list of canonical forms for such equations which admit
the derivative-dependent functional separable solutions is obtained and some
exact solutions to the resulting equations are described.Comment: 19 pages, 2 fig
Water Infiltration in Methylammonium Lead Iodide Perovskite: Fast and Inconspicuous
While the susceptibility of CH3NH3PbI3 to water is well documented, water influence on device performance is not well understood. Herein we use infrared spectroscopy to show that water infiltration into CH3NH3PbI3 occurs much faster and at much lower humidity than previously thought. We propose a molecular model where water molecules have a strong effect on the hydrogen bonding between the methylammonium cations and the Pb-I cage. Furthermore, the exposure of CH3NH3PbI3 to ambient environment increases the photocurrent of films in lateral devices by more than one order of magnitude. The observed slow component in the photocurrent buildup indicates that the effect is associated with enhanced proton conduction when light is combined with water and oxygen exposure.C.M. and M.S. acknowledge support by the Heidelberg Graduate School of Fundamental Physics. A.A.B. is a Royal Society University Research Fellow.This is the author accepted manuscript. The final version is available from the American Chemical Society via http://dx.doi.org/10.1021/acs.chemmater.5b0388
Tc for heavy Fermion superconductors linked with other physical properties at zero and applied pressure
The superconducting transition temperature Tc has earlier been correlated
with coherence length and effective mass for a series of heavy Fermion (HF)
materials at atmospheric pressure. Here, a further physical property, the dc
electrical conductivity sigma(Tc), is one focal point, another being the
pressure dependence of both Tc and sigma(Tc) for several HF materials. The
relaxation time tau(Tc) is also studied in relation to an Uncertainty Principle
limit, involving only the thermal energy kB Tc and Planck's constant.Comment: Supercond. Sci. Tech., to appea
On the relation between standard and -symmetries for PDEs
We give a geometrical interpretation of the notion of -prolongations of
vector fields and of the related concept of -symmetry for partial
differential equations (extending to PDEs the notion of -symmetry for
ODEs). We give in particular a result concerning the relationship between
-symmetries and standard exact symmetries. The notion is also extended to
the case of conditional and partial symmetries, and we analyze the relation
between local -symmetries and nonlocal standard symmetries.Comment: 25 pages, no figures, latex. to be published in J. Phys.
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