282 research outputs found
Low field phase diagram of spin-Hall effect in the mesoscopic regime
When a mesoscopic two dimensional four-terminal Hall cross-bar with Rashba
and/or Dresselhaus spin-orbit interaction (SOI) is subjected to a perpendicular
uniform magnetic field , both integer quantum Hall effect (IQHE) and
mesoscopic spin-Hall effect (MSHE) may exist when disorder strength in the
sample is weak. We have calculated the low field "phase diagram" of MSHE in the
plane for disordered samples in the IQHE regime. For weak disorder,
MSHE conductance and its fluctuations vanish identically
on even numbered IQHE plateaus, they have finite values on those odd numbered
plateaus induced by SOI, and they have values and
on those odd numbered plateaus induced by Zeeman energy. For moderate disorder,
the system crosses over into a regime where both and are
finite. A larger disorder drives the system into a chaotic regime where
while is finite. Finally at large disorder both
and vanish. We present the physics behind this ``phase
diagram".Comment: 4 page, 3 figure
Universal spin-Hall conductance fluctuations in two dimensions
We report a theoretical investigation on spin-Hall conductance fluctuation of
disordered four terminal devices in the presence of Rashba or/and Dresselhaus
spin-orbital interactions in two dimensions. As a function of disorder, the
spin-Hall conductance shows ballistic, diffusive and insulating
transport regimes. For given spin-orbit interactions, a universal spin-Hall
conductance fluctuation (USCF) is found in the diffusive regime. The value of
the USCF depends on the spin-orbit coupling , but is independent of
other system parameters. It is also independent of whether Rashba or
Dresselhaus or both spin-orbital interactions are present. When is
comparable to the hopping energy , the USCF is a universal number . The distribution of crosses over from a Gaussian distribution
in the metallic regime to a non-Gaussian distribution in the insulating regime
as the disorder strength is increased.Comment: to be published in Phys. Rev. Lett., 4 figure
Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
We propose realizing the quantum anomalous Hall effect by proximity coupling
graphene to an antiferromagnetic insulator that provides both broken
time-reversal symmetry and spin-orbit coupling. We illustrate our idea by
performing ab initio calculations for graphene adsorbed on the (111) surface of
BiFeO3. In this case, we find that the proximity-induced exchange field in
graphene is about 70 meV, and that a topologically nontrivial band gap is
opened by Rashba spin-orbit coupling. The size of the gap depends on the
separation between the graphene and the thin film substrate, which can be tuned
experimentally by applying external pressure.Comment: 5pages, 5 figure
Topological Corner States in Graphene by Bulk and Edge Engineering
Two-dimensional higher-order topology is usually studied in (nearly)
particle-hole symmetric models, so that an edge gap can be opened within the
bulk one. But more often deviates the edge anticrossing even into the bulk,
where corner states are difficult to pinpoint. We address this problem in a
graphene-based topological insulator with spin-orbit coupling
and in-plane magnetization both originating from substrates through a
Slater-Koster multi-orbital model. The gapless helical edge modes cross inside
the bulk, where is also located the magnetization-induced edge gap. After
demonstrating its second-order nontriviality in bulk topology by a series of
evidence, we show that a difference in bulk-edge onsite energy can
adiabatically tune the position of the crossing/anticrossing of the edge modes
to be inside the bulk gap. This can help unambiguously identify two pairs of
topological corner states with nonvanishing energy degeneracy for a rhombic
flake. We further find that the obtuse-angle pair is more stable than the
acute-angle one. These results not only suggest an accessible way to "find"
topological corner states, but also provide a higher-order topological version
of "bulk-boundary correspondence"
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