Edge-magnetoplasmon wave-packet revivals in the quantum-Hall effect

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.55.9800· OSTI ID:560707

Zuelicke, U ^[1]; Bluhm, R ^[2]; Kostelecky, V A; MacDonald, A H ^[1]

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1. Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)
2. Department of Physics, Colby College, Waterville, Maine 04901 (United States)

The quantum-Hall effect is necessarily accompanied by low-energy excitations localized at the edge of a two-dimensional electron system. For the case of electrons interacting via the long-range Coulomb interaction, these excitations are edge magnetoplasmons. We address the time evolution of localized edge-magnetoplasmon wave packets. On short times the wave packets move along the edge with classical E cross B drift. We show that on longer times the wave packets can have properties similar to those of the Rydberg wave packets that are produced in atoms using short-pulsed lasers. In particular, we show that edge-magnetoplasmon wave packets can exhibit periodic revivals in which a dispersed wave packet reassembles into a localized one. We propose the study of edge-magnetoplasmon wave packets as a tool to investigate dynamical properties of integer and fractional quantum-Hall edges. Various scenarios are discussed for preparing the initial wave packet and for detecting it at a later time. We comment on the importance of magnetoplasmon-phonon coupling and on quantum and thermal fluctuations. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 560707
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 15 Vol. 55; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRON GAS
HALL EFFECT
MAGNETIC FIELDS
PHONONS
PLASMONS
SOLID-STATE PLASMA
WAVE PACKETS
localized states