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Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer.

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Title: Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer.
Authors: Nandy, Atanu1 atanunandy1989@gmail.com, Pal, Biplab1 biplabpal@klyuniv.ac.in, Chakrabarti, Arunava1 arunava_chakrabarti@yahoo.co.in
Source: Physics Letters A. Aug2014, Vol. 378 Issue 42, p3144-3150. 7p.
Subjects: Electrons, Magnetic transitions, Fractals, Aharonov-Bohm effect, Interferometers, Electronic spectra
Abstract: A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and magneto-transport when each ‘arm’ of the gasket is replaced by a diamond shaped Aharonov–Bohm interferometer, threaded by a uniform magnetic flux. Within the framework of a tight binding model for non-interacting, spinless electrons and a real space renormalization group method we unravel a class of extended and localized electronic states. In particular, we demonstrate the existence of extreme localization of electronic states at a special finite set of energy eigenvalues, and an infinite set of energy eigenvalues where the localization gets ‘delayed’ in space ( staggered localization ). These eigenstates exhibit a multitude of localization areas . The two terminal transmission coefficient and its dependence on the magnetic flux threading each basic Aharonov–Bohm interferometer is studied in details. Sharp switch on – switch off effects that can be tuned by controlling the flux from outside, are discussed. Our results are analytically exact. [ABSTRACT FROM AUTHOR]
Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer.
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  Data: <searchLink fieldCode="AR" term="%22Nandy%2C+Atanu%22">Nandy, Atanu</searchLink><relatesTo>1</relatesTo><i> atanunandy1989@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Pal%2C+Biplab%22">Pal, Biplab</searchLink><relatesTo>1</relatesTo><i> biplabpal@klyuniv.ac.in</i><br /><searchLink fieldCode="AR" term="%22Chakrabarti%2C+Arunava%22">Chakrabarti, Arunava</searchLink><relatesTo>1</relatesTo><i> arunava_chakrabarti@yahoo.co.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Physics+Letters+A%22">Physics Letters A</searchLink>. Aug2014, Vol. 378 Issue 42, p3144-3150. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Electrons%22">Electrons</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+transitions%22">Magnetic transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Fractals%22">Fractals</searchLink><br /><searchLink fieldCode="DE" term="%22Aharonov-Bohm+effect%22">Aharonov-Bohm effect</searchLink><br /><searchLink fieldCode="DE" term="%22Interferometers%22">Interferometers</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+spectra%22">Electronic spectra</searchLink>
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  Data: A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and magneto-transport when each ‘arm’ of the gasket is replaced by a diamond shaped Aharonov–Bohm interferometer, threaded by a uniform magnetic flux. Within the framework of a tight binding model for non-interacting, spinless electrons and a real space renormalization group method we unravel a class of extended and localized electronic states. In particular, we demonstrate the existence of extreme localization of electronic states at a special finite set of energy eigenvalues, and an infinite set of energy eigenvalues where the localization gets ‘delayed’ in space ( staggered localization ). These eigenstates exhibit a multitude of localization areas . The two terminal transmission coefficient and its dependence on the magnetic flux threading each basic Aharonov–Bohm interferometer is studied in details. Sharp switch on – switch off effects that can be tuned by controlling the flux from outside, are discussed. Our results are analytically exact. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physleta.2014.09.012
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      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 3144
    Subjects:
      – SubjectFull: Electrons
        Type: general
      – SubjectFull: Magnetic transitions
        Type: general
      – SubjectFull: Fractals
        Type: general
      – SubjectFull: Aharonov-Bohm effect
        Type: general
      – SubjectFull: Interferometers
        Type: general
      – SubjectFull: Electronic spectra
        Type: general
    Titles:
      – TitleFull: Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer.
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              M: 08
              Text: Aug2014
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