21,263 research outputs found
Symmetry classification of energy bands in graphene and silicene
We present the results of the symmetry classification of the electron energy
bands in graphene and silicene using group theory algebra and the
tight--binding approximation. The analysis is performed both in the absence and
in the presence of the spin-orbit coupling. We also discuss the bands merging
in the Brillouin zone symmetry points and the conditions for the latter to
become Dirac points.Comment: LaTeX, 6 pages, 2 eps Figures. A Figure and a citation were added.
Accepted for publication in Graphen
No-go for Partially Massless Spin-2 Yang-Mills
There are various no-go results forbidding self-interactions for a single
partially massless spin-2 field. Given the photon-like structure of the linear
partially massless field, it is natural to ask whether a multiplet of such
fields can interact under an internal Yang-Mills like extension of the
partially massless symmetry. We give two arguments that such a partially
massless Yang-Mills theory does not exist. The first is that there is no
Yang-Mills like non-abelian deformation of the partially massless symmetry, and
the second is that cubic vertices with the appropriate structure constants do
not exist.Comment: 18 pages. v2 small corrections and ref
Up Quark Masses from Down Quark Masses
The quark and charged lepton masses and the angles and phase of the CKM
mixing matrix are nicely reproduced in a model which assumes SU(3)xSU(3)
flavour symmetry broken by the v.e.v.'s of fields in its bi-fundamental
representation. The relations among the quark mass eigenvalues, m_u/m_c \approx
m_c/m_t \approx m^2_d/m^2_s \approx m^2_s/m^2_b \approx
\Lambda^2_{GUT}/M^2_{Pl}, follow from the broken flavour symmetry. Large
tan(beta) is required which also provides the best fits to data for the
obtained textures. Lepton-quark grandunification with a field that breaks both
SU(5) and the flavour group correctly extends the predictions to the charged
lepton masses. The seesaw extension of the model to the neutrino sector
predicts a Majorana mass matrix quadratically hierarchical as compared to the
neutrino Dirac mass matrix, naturally yielding large mixings and low mass
hierarchy for neutrinos.Comment: 11 pages, 1 figure. Published version: model improved, references
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