Abstract
We theoretically investigate quantum interference effects in mesoscopic loop interferometers. In the absence of an Aharonov-Bohm flux, the asymmetry of the arm length of the interferometer can induce a magnetic polarization current circulating along the interferometer loop. We clarify the existing regions of magnetic polarization current in terms of the dimensionless wavevector and a parameter for the asymmetric arm lengths. The magnetic polarization current is found to have a periodic diamond structure that can be characterized by magnetic and non-magnetic diamond zones. The applied magnetic flux develops a concave diamond-shaped non-magnetic region inside the magnetic diamond zones. When the magnetic flux varies across ϕ = (2n+1)π/2, with n being an integer, the magnetic diamond zone becomes a non-magnetic diamond zone and vice versa. In addition, the unique behaviors of the transport current flowing through the interferometer are discussed in association with the magnetic polarization current circulating along the interferometer loop. Finally, the magnetic moments induced at a finite bias are shown to be sufficiently large to be observed experimentally.
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References
See, for a review, Y. Imry, Introduction to Mesoscopic Physics, 2nd ed. (Oxford University Press, Oxford, 2002); S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, New York, 1995).
Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
M. Büttiker, Y. Imry and R. Landauer, Phys. Lett. A 96, 365 (1983).
L. P. Levy, G. Dolan, J. Dunsmuir and H. Bouchiat, Phys. Rev. Lett. 64, 2074 (1990); V. Chandrasekhar, R. A. Webb, M. J. Brady, M. B. Ketchen, W. J. Gallagher and A. Kleinasser, Phys. Rev. Lett. 67, 3578 (1991); E. M. Q. Jariwala, P. Mohanty, M. B. Ketchen and R. A. Webb, Phys. Rev. Lett. 86, 1594 (2001); W. Rabaud, L. Saminadayar, D. Mailly, K. Hasselbach, A. Benoit and B. Etienne, Phys. Rev. Lett. 86, 3124 (2001); H. Bluhm, N. C. Koshnick, J. A. Bert, M. E. Huber and K. A. Moler, Phys. Rev. Lett. 102, 136802 (2009).
A. C. Bleszynski-Jayich, W. E. Shanks, B. Peaudecerf, E. Ginossar, F. von Oppen, L. Glazman and J. G. E. Harris, Science 326, 272 (2009).
D. Mailly, C. Chapelier and A. Benoit, Phys. Rev. Lett. 70, 2020 (1993).
R. A. Webb, S. Washburn, C. P. Umbach and R. B. Laibowitz, Phys. Rev. Lett. 54, 2696 (1985).
S. Washburn and R. A. Webb, Rep. Prog. Phys. 55, 1311 (1992).
A. Fuhrer, S. Lüscher, T. Ihn, T. Heinzel, K. Ensslin, W. Wegscheider and M. Bichler, Nature (London) 413, 822 (2001).
A. M. Jayannavar and P. S. Deo, Phys. Rev. B 51, 10175 (1995).
Y. H. Su, S. Y. Cho, A. M. Chen and T. Choi, J. Korean Phys. Soc. 57, 138 (2010).
S. Y. Cho, H. T. Wang and T. Choi. J. Korean Phys. Soc. 62, 496 (2013).
S. Y. Cho, T. Choi and C-M. Ryu, Int. J. Mod. Phys. B 10, 3569 (1996).
T. P. Pareek, P. S. Deo and A. M. Jayannavar, Phys. Rev. B 52, 14657 (1995).
A. M. Jayannavar, P. S. Deo and T. P. Pareek, Physica B 212, 261 (1995).
C. Benjamin, S. K. Joshi, D. Sahoo and A. M. Jayannavar, Mod. Phys. Lett. B 15, 19 (2001).
C. Benjamin and A. M. Jayannavar, Phys. Rev. B 68, 085325 (2003).
S. Bandopadhyay, P. S. Deo and A. M. Jayannavar, Phys. Rev. B 70, 075315 (2004).
T. Choi, C.-M. Ryu and A. M. Jayannavar, Int. J. Mod. Phys. B 12, 2091 (1998).
T. Choi, C.-M. Ryu and A. M. Jayannavar, arXiv:condmatt/9808245.
S. Y. Cho, R. H. McKentize, K. Kang and C. K. Kim, J. Phys.: Condens. Matter 15, 1147 (2003).
S. Y. Cho and R. H. McKentize, Phys. Rev. B 71, 045317 (2005).
H. C. Wu, Y. Guo, X. Y. Chen and B. L. Gu, Phys. Rev. B 68, 125330 (2003).
Y. T. Zhang, Y. Guo and Y. C. Li, Phys. Rev. B 72, 125334 (2005).
V. Vargiamidis and H. M. Polatoglou, Phys. Rev. B 74, 235323 (2006).
J. Yi, J. H. Wei, J. Hong and S. I. Lee, Phys. Rev. B 65, 033305 (2001).
W. Park and J. Hong, Phys. Rev. B 69, 035319 (2004).
O. Entin-Wohlman, Y. Imry and A. Aharony, Phys. Rev. Lett. 91, 046802 (2003).
O. Entin-Wohlman, Y. Imry and A. Aharony, Phys. Rev. B 70, 075301 (2004).
R. Citro and F. Romeo, Phys. Rev. B 75, 073306 (2007).
J. B. Xia, Phys. Rev. B 45, 3593 (1992).
S. Griffith, Trans. Faraday Soc. 49, 345 (1953).
M. Büttiker, Y. Imry and M. Ya. Azbel, Phys. Rev. A 30, 1982 (1984).
Y. Gefen, Y. Imry and M. Ya. Azbel, Phys. Rev. Lett. 52, 129 (1984).
Q. Li and C. M. Soukoulis, Phys. Rev. B 33, 7318 (1986).
D. Takai and K. Ohta, Phys. Rev. B 48, 1537 (1993).
K. N. Pichugin and A. F. Sadreev, Phys. Rev. B 56, 9662 (1997).
S. K. Joshi, D. Sahoo and A. M. Jayannavar, Phys. Rev. B 81, 245316 (2001).
P. G. N. de Vegvar, G. Timp, P. M. Mankiewich, R. Behringer and J. Cunningham, Phys. Rev. B 40, 3491 (1989).
M. Büttiker, Y. Imry and R. Landauer, Phys. Rev. Lett. 57, 1761 (1986).
M. Büttiker, Y. Imry and R. Landauer, Phys. Lett. A 96, 365 (1983).
W. Porod, Z. A. Shao and C. S. Lent, Phys. Rev. B 48, 8495 (1993).
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Wang, H.T., Cho, S.Y. & Choi, T. Quantum-interference-induced magnetization in mesoscopic loop interferometers. Journal of the Korean Physical Society 63, 1984–1996 (2013). https://doi.org/10.3938/jkps.63.1984
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DOI: https://doi.org/10.3938/jkps.63.1984