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Magnetic field fluctuations in an array of randomly directed circular currents

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Abstract

We study the magnetic field fluctuations generated by an array of circular currents with axial symmetry. The fluctuations are induced via the random orientation of the current in each ring. By increasing the number of rings per unit length, we observe a transition from a continuous to a stratified spectrum of possible magnetic field values at a fixed location on the symmetry axis. A semi-analytical description of the properties characterising this transition is obtained revealing the competition between long range and short range contributions in this device. Our work provides a possibility to manipulate magnetic fields in a controllable and experimentally easily accessible manner, a task which can be of interest for accelerator and mesoscopic physics.

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References

  1. R. Gilmore, Elementary Quantum Mechanics in One Dimension (The John Hopkins University Press, Baltimore & London, 2004)

  2. E. Maciá, Rep. Prog. Phys. 75, 036502 (2012)

    Article  ADS  Google Scholar 

  3. J.L. Monroe, J. Phys. 31, 9809 (1998)

    MATH  ADS  Google Scholar 

  4. Y. Pramudya, H. Terletska, S. Pankov, E. Manousakis, V. Dobrosavljevic, Phys. Rev. B 84, 125120 (2011)

    Article  ADS  Google Scholar 

  5. B. Spivak, Phys. Rev. B 64, 085317 (2001)

    Article  ADS  Google Scholar 

  6. J.S. Thakur, D. Neilson, Phys. Rev. B 54, 7674 (1996)

    Article  ADS  Google Scholar 

  7. A.F. Andreev, Yu.A. Kosevich, Sov. Phys. J. Exp. Theor. Phys. 50, 1218 (1979)

    ADS  Google Scholar 

  8. N.F. Mott, Metal Insulator Transition (Taylor & Francis, London, 1990)

  9. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1999)

  10. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, Washington, 1970)

  11. E. Wilson, An Introduction to Particle Accelerators (Oxford University Press, Oxford, 2001)

  12. B. Weber, S. Mahapatra, H. Ryu, S. Lee, A. Fuhrer, T.C.G. Reusch, D.L. Thompson, W.C.T. Lee, G. Klimeck, L.C.L. Hollenberg, M.Y. Simmons, Science 335, 64 (2012)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Athens, 15771, Athens, Greece

    V. D. Anagiannis, Y. F. Contoyiannis & F. K. Diakonos

Authors
  1. V. D. Anagiannis
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  2. Y. F. Contoyiannis
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  3. F. K. Diakonos
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Correspondence to F. K. Diakonos.

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Anagiannis, V.D., Contoyiannis, Y.F. & Diakonos, F.K. Magnetic field fluctuations in an array of randomly directed circular currents. Eur. Phys. J. B 86, 460 (2013). https://doi.org/10.1140/epjb/e2013-40852-1

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  • DOI: https://doi.org/10.1140/epjb/e2013-40852-1

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