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Universidad Nacional Autónoma de México - CNyN

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1st International Symposium on Nanoscience and Nanomaterials<br />

O-004<br />

TEMPERATURE DEPENDENCE OF THE SPIN POLARIZATION RESPONSE IN SPIN-ORBIT<br />

COUPLED SYSTEMS<br />

Priscilla E. Iglesias Vázquez 1,a and Jesús A. Maytorena Córdova 2,b<br />

1 Posgrado en Física <strong>de</strong> Materiales, CICESE-UNAM. Ensenada, B.C., México.<br />

2 Centro <strong>de</strong> Nanociencias y Nanotecnología, UNAM. Ensenada, B.C., México.<br />

a piglesia@cnyn.unam.mx, b jesusm@cnyn.unam.mx<br />

Keywords: spin polarization, spin-orbit interaction, semiconductor spintronics.<br />

We investigate the temperature <strong>de</strong>pen<strong>de</strong>nce of the electric field-induced spin polarization of a twodimensional<br />

electron gas with Rashba and Dresselhaus spin-orbit interaction (SOI). The frequency-<strong>de</strong>pen<strong>de</strong>nt<br />

spin polarizability tensor for finite temperature is calculated using the linear-response theory; the cases of<br />

quantum wells grown in the main crystallographic directions are consi<strong>de</strong>red. The spin splitting caused by SOI<br />

opens the possibility of resonant effects involving electric-dipole transitions between the spin-split subbands<br />

as a response to alternating electric fields in the THz regime. Due to the anisotropic character of the SOI, the<br />

spin polarization response becomes <strong>de</strong>pen<strong>de</strong>nt on the direction of the applied electric field and presents<br />

characteristic spectral features only within the SO-induced energy window for optical absorption 1 ; this is in<br />

contrast to the case of pure Rashba or Dresselhaus case. At non-vanishing temperature this behaviour is<br />

modified, given that the optical inter-spin-split subbands transitions are then possible in a wi<strong>de</strong>r range of<br />

energies, beyond the sharp T=0 absorption edges. As a consequence, the spin <strong>de</strong>nsity response <strong>de</strong>creases<br />

monotonically with temperature for frequencies outsi<strong>de</strong> the mentioned window. We also study the effect of a<br />

temperature gradient in or<strong>de</strong>r to explore the spin Hall effect driven by the flow of heat. This raised new<br />

possibilities for spin current generation by means of heat currents and vice versa. This work was supported by<br />

DGAPA-UNAM IN114210 and CONACyT-México.<br />

1 Iglesias, P.E. y Maytorena, J.A. Anisotropic dynamical spin-<strong>de</strong>nsity response in quantum wells with spin-orbit interaction. Phys. Rev. B 82, 205324 (2010).<br />

O-005<br />

OPTICAL PROPERTIES OF TiO 2 /Al 2 O 3 NANOLAMINATES GROWN BY ATOMIC LAYER<br />

DEPOSITION<br />

Hugo Tiznado 1,a , Wencel <strong>de</strong> la Cruz 1,b , Gerardo Soto 1,c and David Domínguez 1,d<br />

1 Centro <strong>de</strong> Nanociencias y Nanotecnología – UNAM, Ensenada, Mexico.<br />

a tiznado@cnyn.unam.mx, b wencel@cnyn.unam.mx, c gerardo@cnyn.unam.mx, d david@cnyn.unam.mx<br />

Keywords: atomic layer <strong>de</strong>position, optical properties, thin films.<br />

Composite films whose refractive in<strong>de</strong>x can be adjusted by mixing two materials at different ratios<br />

are of consi<strong>de</strong>rable interest for optical and electronic applications [1]. In particular, those materials with<br />

potential to replace SiO 2 , as the gate oxi<strong>de</strong> in complementary metal–oxi<strong>de</strong>–semiconductors (CMOS), are<br />

currently being aggressively studied [2]. It is reported that the TiO 2 and Al 2 O 3 nanolaminates are able to tune<br />

their refractive in<strong>de</strong>x (n) and the extinction coefficient (k) by varying their individual thickness. However,<br />

only discrete values have been reported for specific light energies. In this work, it was employed the atomic<br />

layer <strong>de</strong>position (ALD) technique to prepare Al 2 O 3 /TiO 2 nanolaminates on silicon (111) substrates. The<br />

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