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- Topological Insulators.
(Description coming soon...)
- Kondo effect in graphene.
(Description coming soon...)
Related publications:
- Disorder-mediated Kondo effect in graphene.
Vladimir G. Miranda, Luis G. G. V. Dias da Silva, Caio H. Lewenkopf
Submitted to PRL (2014) - pre-print available at arXiv:1402.4771
- Electronic
correlations and Kondo effect in nanoscale and molecular systems.
The field of nanoelectronics has
seen a
rapid expansion in recent years, fueled by groundbreaking achievements
on both experimental and theoretical fronts. Experimentally, the
ability to confine
electrons in nanometer-size regions, forming so-called quantum
dots makes it possible to create devices that behave much
like "single-electron transistors" (see, e.g., here).
Such electronic systems are different from the more familiar metallic
and semiconducting devices in many ways. A key difference stems
from correlation effects: both electronic
charge and spin affect the electronic transport properties of the
device, and
many-body phenomena such as the Kondo
effect naturally arise.
Similar correlation effects show up in the field of molecular
electronics as well. Electronic transport through single
molecules are achievable either in molecular junctions (as in here)
and
manipulation with scanning tunneling microscopy (STM) (see here).
This fascinating combination of nanoscale confinement and strong
correlation effects poses many theoretical challenges. We address these
problems by studying electronic transport properties in these system
with numerical methods (numerical
renormalization-group (NRG), and,
more recently, the time-dependent density-matrix renormalization group,
tDMRG).
Related publications:
- Transport
properties and Kondo
correlations in nanostructures: the time-dependent DMRG method applied
to quantum dots coupled to Wilson chains. Luis G. G. V. Dias
da Silva, F. Heidrich-Meisner, A. E. Feiguin, C. A.
Busser, G. B. Martins, E. V. Anda, E. Dagotto. arXiv:0807.0581 (Submitted).
- Finite-temperature conductance signatures of quantum criticality in
double quantum dots . Luis G. Dias da Silva, Kevin Ingersent, Nancy Sandler, Sergio Ulloa,
Phys. Rev. B 78 155304 (2008).
- Transmission in double quantum dots
in the Kondo regime: Quantum-critical transitions and interference
effects. Luis G.G.V. Dias da Silva, Nancy Sandler, Kevin
Ingersent and Sergio
Ulloa,
Physica E 40
1002-1005 (2008).
- Zero-field Kondo splitting and
quantum-critical transition in double quantum dots.
Luis G.G.V. Dias da Silva, Nancy Sandler, Kevin Ingersent and Sergio
Ulloa.
Phys. Rev. Lett. 97
096603 (2006).
- Time-dependent
transport in strongly correlated systems.
(Still to come...)
Related publications:
- Transport
properties and Kondo
correlations in nanostructures: the time-dependent DMRG method applied
to quantum dots coupled to Wilson chains. Luis G. G. V. Dias
da Silva, F. Heidrich-Meisner, A. E. Feiguin, C. A.
Busser, G. B. Martins, E. V. Anda, E. Dagotto. arXiv:0807.0581
(Submitted).
- Excitons in
nanometer-size quantum
rings.
(Still to come...)
Related publications:
- Tunneling and optical control in
quantum ring
molecules
Luis G.G.V. Dias da Silva, Jose M. Villas-Boas and Sergio Ulloa,
Phys. Rev. B 76
155306
(2007).
- Impurity effects in the optical
absorption of
quantum rings
Luis G.G.V. Dias da Silva, Sergio E. Ulloa, Tigran V. Shahbazyan, Physica E
32 (1-2):
37-40 (2006).
- Polarization and Aharonov-Bohm
oscillations in quantum-ring magnetoexcitons, Luis G.G.V.
Dias da Silva, Sergio E. Ulloa, Tigran V. Shahbazyan, Phys.
Rev. B 72 125327
(2005).
- Impurity
effects on the
Aharonov-Bohm optical signatures of neutral quantum-ring
magnetoexcitons,
Luis G.G.V. Dias da Silva, Sergio Ulloa, Alexander Govorov, Phys.
Rev. B 70 155318 (2004).
- Interplay of
interactions and quantum chaos in quantum dot systems.
(Still to come...)
Related publications:
- Quantum Chaos
for Two
Interacting Particles Confined to a Circular Billiard,
Eliane P.S. Xavier, M. C. Santos, Luis G. G. V. Dias da Silva, Marcos
G. E. da Luz, Marcus W. Beims, Physica A 342
377-382 (2004)
- Orbital
Magnetic Properties of Quantum-Dots: the role of electron-electron
interactions
Luis G.G.V. Dias da Silva, Caio H. Lewenkopf and Nelson Studart, Phys.
Rev. B 69
075311 (2004).
- Short-range
interactions on a two-electron system: energy levels and magnetic
properties
Luis G.G.V. Dias da Silva, Marcus A.M. de Aguiar, Phys.
Rev. B 66 165309
(2002).
- Periodic
Orbits in Magnetic Billiards
Luis G.G.V. Dias da Silva and Marcus A.M. de
Aguiar, Eur.
Phys. Journal B 16
719-728 (2000).