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Topological Insulators. Effects of spin on transport of electrons in solids. Most figures from:. SPIN. Mott insulators Rashba effect Superconductivity Quantum information and computation. Topological insulator.

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## Topological Insulators

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**Topological Insulators**Effects of spin on transport of electrons in solids**SPIN**• Mott insulators • Rashba effect • Superconductivity • Quantum information and computation**Topological insulator**• Exhibits insulating behaviour in the bulk but has conducting edge or surface states • So far the only models exploit spin-orbit interactions • is generally related to introducing a time-reversal-symmetry breaking interaction, as is the case for SO. • Existence established in some systems from ARPES experiments**Rashba effect**• Spin-orbit coupling-like potential **Cases**• A gap is produced • For the gap is • Quantized Hall conductivity: • BUT! It will vanish for** Gapless edge states**• At the edges opposite spins travel opposite directions. (Kane et al) • At low energy**Observation**• Graphene SO effects very small, hard to observe • Bi1-xSbx Observed! Surface states instead of edge states • Using ARPES**Promises**• Topological states robust to perturbation • Stable qubits for Quantum Computation • Dissipation-less spin current transport good for Spintronics new SuperConductivity-like effects to be observed, I presume. Not literally.

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