2,073 research outputs found
Non-standard Dirac adjoint spinor: The emergence of a new dual
In this present communication we provide a new derivation of the Dirac dual
structure by employing a different approach from the originally proposed.
Following a general and rigorous mathematical process to compute the dual
structure, we investigate if is possible to break the existing "rigidity" in
its primordial formulation. For this task, firstly, we look towards to
understand the core of the Dirac spinors construction and then, we suggest to
built an alternative dual structure for the Dirac spinor, which preserve an
invariant norm under any transformation. Finally, we verify
if the prominent physical contents are maintained or if it is affected by such
construction.Comment: 7 pages, 0 figure
Questing for Algebraic Mass Dimension One Spinor Fields
This work deals with new classes of spinors of mass dimension one in
Minkowski spacetime. In order to accomplish it, the Lounesto classification
scheme and the inversion theorem are going to be used. The algebraic framework
shall be revisited by explicating the central point performed by the Fierz
aggregate. Then the spinor classification is generalized in order to encompass
the new mass dimension one spinors. The spinor operator is shown to play a
prominent role to engender the new mass dimension one spinors, accordingly.Comment: 7 pages, final version to appear in Eur. Phys. J.
Type-4 spinors: transmuting from Elko to single-helicity spinors
In this communication we briefly report an unexpected theoretical discovery
which emerge from the mapping of Elko mass-dimension-one spinors into single
helicity spinors. Such procedure unveils a class of spinor which is classified
as type-4 spinor field within Lounesto classification. In this paper we explore
the underlying physical and mathematical contents of the type-4 spinor.Comment: 9 pages, 0 figure
Current rectification in a single molecule diode: the role of electrode coupling
We demonstrate large rectification ratios (> 100) in single-molecule
junctions based on a metal-oxide cluster (polyoxometalate), using a scanning
tunneling microscope (STM) both at ambient conditions and at low temperature.
These rectification ratios are the largest ever observed in a single-molecule
junction, and in addition these junctions sustain current densities larger than
10^5 A/cm^2. By following the variation of the I-V characteristics with
tip-molecule separation we demonstrate unambiguously that rectification is due
to asymmetric coupling to the electrodes of a molecule with an asymmetric level
structure. This mechanism can be implemented in other type of molecular
junctions using both organic and inorganic molecules and provides a simple
strategy for the rational design of molecular diodes
On the Spinor Representation
A systematic study of the spinor representation by means of the fermionic
physical space is accomplished and implemented. The spinor representation space
is shown to be constrained by the Fierz-Pauli-Kofink identities among the
spinor bilinear covariants. A robust geometric and topological structure can be
manifested from the spinor space, wherein, for instance, the first and second
homotopy groups play prominent roles on the underlying physical properties,
associated to the fermionic fields.Comment: 16 page
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