Bloch oscillations

E708820

Bloch oscillations are periodic oscillations of electrons in a crystal lattice subjected to a constant electric field, arising from the band structure and leading to oscillatory motion in momentum space.

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Statements (51)

Predicate Object
instanceOf quantum mechanical phenomenon
characterizedBy Bloch frequency NERFINISHED
coherent transport
periodic evolution of quasimomentum
dependsOn band dispersion relation
electric field strength
lattice spacing
describedBy Bloch theory NERFINISHED
band theory of solids
field condensed matter physics
quantum physics
solid-state physics
firstObservedIn 1990s
optical lattices with ultracold atoms
semiconductor superlattices NERFINISHED
frequencyGivenBy eEa/hbar
frequencySymbol ω_B
hasCause Brillouin zone periodicity
acceleration theorem
band structure of a crystal
hasDomain momentum space
reciprocal space
involves Bloch electrons NERFINISHED
Brillouin zone NERFINISHED
Wannier-Stark ladder NERFINISHED
electrons
quasimomentum
quasiparticles
modelledBy single-band approximation
tight-binding model
occursIn crystal lattice
electronic band structure
periodic potential
predictedBy Félix Bloch NERFINISHED
predictedIn 1928
relatedTo Landau-Zener transitions NERFINISHED
Wannier-Stark localization NERFINISHED
Zener tunneling NERFINISHED
dynamic localization
requires constant electric field
periodic lattice potential
requiresCondition long coherence time
low scattering rate
resultsIn oscillatory motion of crystal momentum
periodic motion in k-space
suppressedBy dephasing
impurity scattering
phonon scattering
usedIn Bloch oscillation-based accelerometry
coherent transport in superlattices
precision force measurements

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Esaki–Tsu relation relatedTo Bloch oscillations