Abstract.
We show how the recently proposed effective theory for a Quantum Hall system at “paired states” filling ν=1 [1,2], the twisted model (TM), well adapts to describe the phenomenology of Josephson Junction ladders (JJL) in the presence of defects. In particular it is shown how naturally the phenomenon of flux fractionalization takes place in such a description and its relation with the discrete symmetries present in the TM. Furthermore we focus on “closed” geometries, which enable us to analyze the topological properties of the ground state of the system in relation to the presence of half flux quanta.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Cristofano, G. Maiella, V. Marotta, Mod. Phys. Lett. A 15, 1679 (2000)
G. Cristofano, G. Maiella, V. Marotta, G. Niccoli, Nucl. Phys. B 641, 547 (2002)
M. Kardar, Phys. Rev. B 30, 6368 (1984); M. Kardar, Phys. Rev. B 33, 3125 (1986) ; E. Granato, Phys. Rev. B 42, 4797 (1990); E. Granato, J. Appl. Phys. 75, 6960 (1994)
G. Cristofano, V. Marotta, A. Naddeo, Phys. Lett. B 571, 250 (2003)
G. Cristofano, V. Marotta, A. Naddeo, Nucl. Phys. B 679, 621 (2004)
O. Foda, Nucl. Phys. B 300, 611 (1988)
G. Cristofano, V. Marotta, A. Naddeo, G. Niccoli, P. Minnhagen, work in preparation
Y. Nishiyama, Eur. Phys. J. B 17, 295 (2000)
P. Lecheminant, T. Jolicoeur, P. Azaria, Phys. Rev. B 63, 174426 (2001)
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Science Publications, Oxford, 1989)
L.B. Ioffe, V.B. Geshkenbein, M.V. Feigelman, A.L. Fauchère, G. Blatter, Nature 398, 679 (1999); G. Blatter, V.B. Geshkenbein, L.B. Ioffe, Phys. Rev. B 63, (2001) 174511; L.B. Ioffe, M.V. Feigelman, Phys. Rev. B 66, 224503 (2002); B. Doucot, M.V. Feigelman, L.B. Ioffe, Phys. Rev. Lett. 90, 107003 (2003); B. Doucot, J. Vidal, Phys. Rev. Lett. 88, 227005 (2002)
X.G. Wen, Q. Niu, Phys. Rev. B 41, 9377 (1990)
G. Cristofano, V. Marotta, A. Naddeo, J. Stat. Mech. P03006 (2005)
E. Granato, J.M. Kosterlitz, J. Lee, M.P. Nightingale, Phys. Rev. Lett. 66, 1090 (1991); J. Lee, E. Granato, J.M. Kosterlitz, Phys. Rev. B 44, 4819 (1991); E. Granato, J.M. Kosterlitz, M.P. Nightingale, Physica B 222, 266 (1996)
M.P. Nightingale, H.W.J. Blote, Phys. Rev. Lett. 60, 1562 (1988); M.P. Nightingale, E. Granato, J.M. Kosterlitz, Phys. Rev. B 52, 7402 (1995)
S. Lee, K. Lee, J.M. Kosterlitz, Phys. Rev. B 56, 340 (1997)
P. Baseilhac, Nucl. Phys. B 636, 465 (2002)
S. Teitel, C. Jayaprakash, Phys. Rev. Lett. 51, 1999 (1983); S. Teitel, C. Jayaprakash, Phys. Rev. B 27, 598 (1983)
V. Gritsev, B. Normand, D. Baeriswy, Phys. Rev. B 69, 094431 (2004)
G. Moore, N. Read, Nucl. Phys. B 360, 362 (1991)
C. Nayak, F. Wilczek, Nucl. Phys. B 479, 529 (1996)
P. Binder, D. Abraimov, A.V. Ustinov, S. Flach, Y. Zolotaryuk, Phys. Rev. Lett. 84, 745 (2000); P. Binder, A.V. Ustinov, Phys. Rev. E 66, 016603 (2002)
E.V. Deviatov, V.T. Dolgopolov, A. Wurtz, A. Lorke, A. Wixforth, W. Wegscheider, K.L. Campman, A.C. Gossard, Phys. Rev. B 72, 041305 (2005)
M. Oshikawa, I. Affleck, Nucl. Phys. B 495, 533 (1997)
F.D.M. Haldane, Phys. Rev. Lett. 47, 1840 (1981); E. Orignac, T. Giamarchi, Phys. Rev. B 57, 11713 (1998); E. Orignac, T. Giamarchi, Phys. Rev. B 64, 144515 (2001)
I. Affleck, A.W.W. Ludwig, Nucl. Phys. B 352, 849 (1991); I. Affleck, A.W.W. Ludwig, Nucl. Phys. B 360, 641 (1991); I. Affleck, Acta Phys. Pol. 26, 1869 (1995)
P. Di Francesco, P. Mathieu, D. Senechal, Conformal Field Theories (Springer-Verlag, 1996)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cristofano, G., Marotta, V., Naddeo, A. et al. A conformal field theory description of magnetic flux fractionalization in Josephson junction ladders. Eur. Phys. J. B 49, 83–91 (2006). https://doi.org/10.1140/epjb/e2006-00028-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2006-00028-x