21,494 research outputs found
Vortex Dynamics within the BCS Theory
We outline a conventional path integral derivation of the transverse force
and the friction for a vortex in a superconductor based on the BCS theory. The
derivation is valid in both clean and dirty limits at both zero and finite
temperatures. The transverse force is found to be precisely as what has been
obtained by Ao and Thouless using the Berry's phase method. The friction is
essentially the same as the Bardeen and Stephen's result.
Errors in some previous representive microscopic derivations are discussed.Comment: Revtex. the Invited Talk in M2S-HTSC-V conference in Beijing, Feb.
28-March 4, 1997. to appear in Physica
Dirac point resonances due to atoms and molecules adsorbed on graphene and transport gaps and conductance quantization in graphene nanoribbons with covalently bonded adsorbates
We present a tight binding theory of the Dirac point resonances due to
adsorbed atoms and molecules on an infinite 2D graphene sheet based on the
standard tight binding model of the graphene p-band electronic structure and
the extended Huckel model of the adsorbate and nearby graphene carbon atoms.
The relaxed atomic geometries of the adsorbates and graphene are calculated
using density functional theory. Our model includes the effects of the local
rehybridization of the graphene from the sp^2 to sp^3 electronic structure that
occurs when adsorbed atoms or molecules bond covalently to the graphene. Unlike
in previous tight-binding models of Dirac point resonances, adsorbed species
with multiple extended molecular orbitals and bonding to more than one graphene
carbon atom are treated. More accurate and more general analytic expressions
for the Green's function matrix elements that enter the T-matrix theory of
Dirac point resonances than have been available previously are obtained. We
study H, F, OH and O adsorbates on graphene and for each we find a strong
scattering resonance (two resonances for O) near the Dirac point of graphene,
by far the strongest and closest to the Dirac point being the resonance for H.
We extract a minimal set of tight binding parameters that can be used to model
resonant electron scattering and electron transport in graphene and graphene
nanostructures with adsorbed H, F, OH and O accurately and efficiently. We also
compare our results for the properties of Dirac point resonances due to
adsorbates on graphene with those obtained by others using density functional
theory-based electronic structure calculations, and discuss their relative
merits. We then present calculations of electronic quantum transport in
graphene nanoribbons with these adsorbed species...Comment: 21 pages, 9 figure
Effects of Geometric Phases in Josephson Junction Arrays
We show that the en route vortex velocity dependent part of the Magnus force
in a Josephson junction array is effectively zero, and predict zero Hall effect
in the classical limit. However, geometric phases due to the finite superfluid
density at superconductor grains have a profound influence on the quantum
dynamics of vortices. Subsequently we find rich and complex Hall behaviors
analogous to the Thouless-Kohmoto-Nightingale-den Nijs effect in the quantum
regime.Comment: Latex, 11 pages, appeared in Phys. Rev. Lett. v.77, 562 (1996) with
minor change
Invalidity of Classes of Approximated Hall Effect Calculations
In this comment, I point out a number of approximated derivations for the
effective equation of motion, now been applied to d-wave superconductors by
Kopnin and Volovik are invalid. The major error in those approximated
derivations is the inappropriate use of the relaxation time approximation in
force-force correlation functions, or in force balance equations, or in similar
variations. This approximation is wrong and unnecessary.Comment: final version, minor changes, to appear in Phys. Rev. Let
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