Topological insulators conduct on the surface but insulate in the bulk
Topological insulators conduct on the surface but insulate in the bulk
Topological insulators have a unique property where their interior acts as an electrical insulator while their surface conducts electricity. This behavior is due to the presence of an energy gap between the valence and conduction bands, which are "twisted" in a way that prevents a continuous transformation into a trivial insulator without closing the band gap. This unique band structure results in conducting edge states that are protected against local perturbations.
Example
Bismuth selenide (Bi2Se3) is a well-known topological insulator that exhibits this property. Its surface electrons can move freely, making it useful for applications in electronics and spintronics.
Understanding topological insulators is crucial for developing new technologies that leverage their unique conductive properties on the surface while maintaining insulation in the bulk.
Ising model
The Ising model describes ferromagnetism using interacting spins on a lattice
Quantum Hall effect
Hall resistance Rxy is quantized in units of e²/h
BCS theory
BCS theory explains superconductivity through Cooper pairs of electrons
Cooper pair
Cooper pairs are bound electrons with opposite spin and momentum
Fractional quantum Hall effect
Hall conductance quantized at fractional values of e^2/h
Fermi–Dirac statistics
Fermi-Dirac statistics govern fermions' energy distribution
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