After
introducing the spin Hall effect, Götz described the basics in terms of the
skew scattering mechanism and the side jump, and how in the stationary state,
in a homogeneous system, the intrinsic conduction is cancelled by a diffusive
contribution countering it.
Against this
background he proposed to look at spatially non-homogeneous systems, and
proposed a periodic modulation of the Rashba spin-orbit coupling for the
2-dimensional electron liquid (2DEL) at the interface between a thin lanthanum
aluminate film and a strontium titanate substrate (LAO/STO). The modulation
proposed could be achieved, e.g., putting periodically spaced metallic stripes
as top electrodes to dope in a one-dimensionally
varying manner.
The spin-orbit coupling would be
thus modulated, and the carrier concentration would also oscillate with maximal
density for maximal coupling. The theory
is, however, much more general, quite applicable to very different
systems, while keeping the periodic stripe geometry on a 2D system.
In this
scenario, it seems that even the ground-state would display non-zero spin
currents. Considering now the system in the presence of an applied electric
field, but in the stationary situation, one finds suitable conditions for which
one can get a non-zero spin-hall sigma, while keeping a zero “stationarity
parameter” gamma (i.e. the one
which identifies the spin-hall conductivity of the equivalent homogeneous
case).
Such a behaviour
would be related to localised states at the stripes in the 2DEL. This Rashba spin-orbit
coupling characteristics should be robust against disorder.
The charge
transport would be strongly suppressed in the direction of the applied field,
giving rise to large spin-hall angles.
The presentation
was on the technical side, but offering good insights into the physics of the
problem. As normal with last lectures in a dense session that is running late,
the discussion was brief. There
was a question on the range of density where this effect is robust. The answer
was that it corresponds (in the homogeneous- Rashba-coupling case) to the
regime where a single chiral band is occupied. However, for the inhomogenenous
case such an identification is not so simple. A second question was on the
possibility to achieve the same effect with different inhomogeneous profiles
for the Rahba coupling, and the answer was that in a previous work it was shown
that if the Rashba coupling oscillates randomly aorund a fixed value it cannot
be seen.
Blogged by
Emilio Artacho
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