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복잡계 이론물리 연구단
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Fractional lattice charge transport

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Title
Fractional lattice charge transport
Author(s)
Sergej Flach; Ramaz Khomeriki
Publication Date
2017-01
Journal
SCIENTIFIC REPORTS, v.7, no., pp.40860 -
Publisher
NATURE PUBLISHING GROUP
Abstract
We consider the dynamics of noninteracting quantum particles on a square lattice in the presence of a magnetic flux α and a dc electric field E oriented along the lattice diagonal. In general, the adiabatic dynamics will be characterized by Bloch oscillations in the electrical field direction and dispersive ballistic transport in the perpendicular direction. For rational values of α and a corresponding discrete set of values of E(α) vanishing gaps in the spectrum induce a fractionalization of the charge in the perpendicular direction - while left movers are still performing dispersive ballistic transport, the complementary fraction of right movers is propagating in a dispersionless relativistic manner in the opposite direction. Generalizations and the possible probing of the effect with atomic Bose-Einstein condensates and photonic networks are discussed. Zak phase of respective band associated with gap closing regime has been computed and it is found converging to π/2 value. © The Author(s) 2017
URI
http://pr.ibs.re.kr/handle/8788114/3203
DOI
10.1038/srep40860
ISSN
2045-2322
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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