306 research outputs found
Electronic spectrum and tunnelling properties of multi-wall carbon nanotubes
We develop a general approach to calculations of the electron spectrum of
metallic multi-wall carbon nanotubes (MWNT) with arbitrary number of coaxial
layers. It is based on the model with singular attractive potential of
equidistant conductive cylinders. The knowledge of one-electron spectrum allows
to construct the corresponding Green function and then to calculate the entropy
and density of states for MWNT. We analyze the tunnelling between the nanotube
and normal metal electrode. The possibility of direct determination of
one-electron density of states by measurements of the tunnelling conductivity
at low temperatures is proved and the necessary restrictions on temperature are
formulated. We discuss briefly the conflicting experimental observations of
electronic properties of MWNT.Comment: 14 pages, 1 figur
Strong compensation of the quantum fluctuation corrections in clean superconductor
The theory of fluctuation conductivity for an arbitrary impurity
concentration including ultra-clean limit is developed. It is demonstrated that
the formal divergency of the fluctuation density of states contribution
obtained previously for the clean case is removed by the correct treatment of
the non-local ballistic electron scattering. We show that in the ultra-clean
limit () the density-of-states quantum
corrections are canceled by the Maki-Thompson term and only quasi-classical
paraconductivity remains.Comment: 7 pages 2 figure
Detection of topological phase transitions through entropy measurements: the case of germanene
We propose a characterization tool for studies of the band structure of new
materials promising for the observation of topological phase transitions. We
show that a specific resonant feature in the entropy per electron dependence on
the chemical potential may be considered as a fingerprint of the transition
between topological and trivial insulator phases. The entropy per electron in a
honeycomb two-dimensional crystal of germanene subjected to the external
electric field is obtained from the first principle calculation of the density
of electronic states and the Maxwell relation. We demonstrate that, in
agreement to the recent prediction of the analytical model, strong spikes in
the entropy per particle dependence on the chemical potential appear at low
temperatures. They are observed at the values of the applied bias both below
and above the critical value that corresponds to the transition between the
topological insulator and trivial insulator phases, while the giant resonant
feature in the vicinity of zero chemical potential is strongly suppressed at
the topological transition point, in the low temperature limit. In a wide
energy range, the van Hove singularities in the electronic density of states
manifest themselves as zeros in the entropy per particle dependence on the
chemical potential.Comment: 8 pages, 5 figures; final version published in PR
Paraconductivity in Carbon Nanotubes
We report the calculation of paraconductivity in carbon nanotubes above the
superconducting transition temperature. The complex behavior of
paraconductivity depending upon the tube radius, temperature and magnetic field
strength is analyzed. The results are qualitatively compared with recent
experimental observations in carbon nanotubes of an inherent transition to the
superconducting state and pronounced thermodynamic fluctuations above .
The application of our results to single-wall and multi-wall carbon nanotubes
as well as ropes of nanotubes is discussed.Comment: 7 pages, 1 figur
The Crossover beteween Aslamazov-Larkin and Short Wavelength Fluctuations Regimes in HTS Conductivity Experiments
We present paraconductivity (AL) measurements in three different high
temperature superconductors: a melt textured sample, a
epitaxial thin film and a highly textured
tape. The crossovers between different temperature
regimes in excess conductivity have been analysed. The Lawrence-Doniach (LD)
crossover, which separates the 2D and 3D regimes, shifts from lower to higher
temperatures as the compound anisotropy decreases. Once the LD crossover is
overcome, the fluctuation conductivity of the three compounds shows the same
universal behaviour: for all the curves bend down
according to the law. This asymptotic behaviour was
theoretically predicted previously for the high temperature region where the
short wavelength fluctuations (SWF) become important.Comment: 4 pages, Revtex, 1 PostScript figure available upon request
([email protected]); submitted to Physical Review B rapid communication
Group Averaging for de Sitter free fields
Perturbative gravity about global de Sitter space is subject to
linearization-stability constraints. Such constraints imply that quantum states
of matter fields couple consistently to gravity {\it only} if the matter state
has vanishing de Sitter charges; i.e., only if the state is invariant under the
symmetries of de Sitter space. As noted by Higuchi, the usual Fock spaces for
matter fields contain no de Sitter-invariant states except the vacuum, though a
new Hilbert space of de Sitter invariant states can be constructed via
so-called group-averaging techniques. We study this construction for free
scalar fields of arbitrary positive mass in any dimension, and for linear
vector and tensor gauge fields in any dimension. Our main result is to show in
each case that group averaging converges for states containing a sufficient
number of particles. We consider general -particle states with smooth
wavefunctions, though we obtain somewhat stronger results when the
wavefunctions are finite linear combinations of de Sitter harmonics. Along the
way we obtain explicit expressions for general boost matrix elements in a
familiar basis.Comment: 33 pages, 2 figure
General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains
A construction of relativistic wave equations on the homogeneous spaces of
the Poincar\'{e} group is given for arbitrary spin chains. Parametrizations of
the field functions and harmonic analysis on the homogeneous spaces are
studied. It is shown that a direct product of Minkowski spacetime and
two-dimensional complex sphere is the most suitable homogeneous space for the
physical applications. The Lagrangian formalism and field equations on the
Poincar\'{e} and Lorentz groups are considered. A boundary value problem for
the relativistically invariant system is defined. General solutions of this
problem are expressed via an expansion in hyperspherical functions defined on
the complex two-sphere.Comment: 56 pages, LaTeX2
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