Geometry-induced charge separation on a helicoidal ribbon

被引:53
作者
Atanasov, Victor [1 ]
Dandoloff, Rossen [2 ]
Saxena, Avadh [3 ,4 ]
机构
[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria
[2] Univ Cergy Pontoise, CNRS, Dept Phys, UMR 8089, F-95302 Cergy Pontoise, France
[3] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
关键词
geometry; localised states; quantum Hall effect; QUANTUM; TWIST;
D O I
10.1103/PhysRevB.79.033404
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present an exact calculation of the effective geometry-induced quantum potential for a particle confined on a helicoidal ribbon. This potential leads to the appearance of localized states at the rim of the helicoid. In this geometry the twist of the ribbon plays the role of an effective transverse electric field on the surface and thus this is reminiscent of the Hall effect.
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页数:4
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共 18 条
  • [1] Curvature induced quantum potential on deformed surfaces
    Atanasov, Victor
    Dandoloff, Rossen
    [J]. PHYSICS LETTERS A, 2007, 371 (1-2) : 118 - 123
  • [2] The helicoid versus the catenoid:: Geometrically induced bifurcations
    Boudaoud, A
    Patrício, P
    Ben Amar, M
    [J]. PHYSICAL REVIEW LETTERS, 1999, 83 (19) : 3836 - 3839
  • [3] Cirone MA, 2002, PHYS REV A, V65, DOI 10.1103/PhysRevA.65.022101
  • [4] More on effective potentials of quantum strip waveguides (vol 31, pg 2103, 1998)
    Clark, IJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (08): : 2103 - 2107
  • [5] Effective potentials of quantum strip waveguides and their dependence upon torsion
    Clark, IJ
    Bracken, AJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (02): : 339 - 348
  • [6] Chiral shape and enantioselective growth of colloidal particles of self-assembled meso-tetra(phenyl and 4-sulfonatophenyl) porphyrins
    Crusats, J
    Claret, J
    Díez-Pérez, I
    El-Hachemi, Z
    García-Ortega, H
    Rubires, R
    Sagués, F
    Ribó, JM
    [J]. CHEMICAL COMMUNICATIONS, 2003, (13) : 1588 - 1589
  • [7] QUANTUM-MECHANICS OF A CONSTRAINED PARTICLE
    DACOSTA, RCT
    [J]. PHYSICAL REVIEW A, 1981, 23 (04): : 1982 - 1987
  • [8] Quantum Hall-like effect on strips due to geometry
    Dandoloff, R
    Truong, TT
    [J]. PHYSICS LETTERS A, 2004, 325 (3-4) : 233 - 236
  • [9] DEGENNES PG, 1987, CR ACAD SCI II, V304, P259
  • [10] Structures of helical β-tapes and twisted ribbons:: The role of side-chain interactions on twist and bend behavior
    Fishwick, CWG
    Beevers, AJ
    Carrick, LM
    Whitehouse, CD
    Aggeli, A
    Boden, N
    [J]. NANO LETTERS, 2003, 3 (11) : 1475 - 1479