J. Phys. Soc. Jpn. 86, 074702 (2017) [8 Pages]
FULL PAPERS

Response Current from Spin-Vortex-Induced Loop Current System to Feeding Current

+ Affiliations
1Division of Materials Science, Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan2Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan3American University of Technology, AUT Halat, Highway, Lebanon

The spin-vortex-induced loop current (SVILC) is a loop current generated around a spin-vortex formed by itinerant electrons. It is generated by a U(1) instanton created by the single-valued requirement of wave functions with respect to the coordinate, and protected by the topological number, “winding number”. In a system with SVILCs, a macroscopic persistent current is generated as a collection of SVILCs. In the present work, we consider the situation where external currents are fed in the SVILC system and response currents are measured as spontaneous currents that flow through leads attached to the SVILC system. The response currents from SVILC systems are markedly different from the feeding currents in their directions and magnitude, and depend on the original current pattern of the SVILC system; thus, they may be used in the readout process in the recently proposed SVILC quantum computer, a quantum computer that utilizes SVILCs as qubits. We also consider the use of the response current to detect SVILCs.

©2017 The Physical Society of Japan

References

  • 1 J. G. Bednorz and K. A. Müller, Z. Phys. B 64, 189 (1986). 10.1007/BF01303701 CrossrefGoogle Scholar
  • 2 J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957). 10.1103/PhysRev.108.1175 CrossrefGoogle Scholar
  • 3 P. W. Anderson, Science 235, 1196 (1987). 10.1126/science.235.4793.1196 CrossrefGoogle Scholar
  • 4 H. Koizumi, J. Supercond. Novel Magn. 24, 1997 (2011). 10.1007/s10948-011-1159-8 CrossrefGoogle Scholar
  • 5 R. Hidekata and H. Koizumi, J. Supercond. Novel Magn. 24, 2253 (2011). 10.1007/s10948-011-1194-5 CrossrefGoogle Scholar
  • 6 H. Koizumi, R. Hidekata, A. Okazaki, and M. Tachiki, J. Supercond. Novel Magn. 27, 121 (2014). 10.1007/s10948-013-2277-2 CrossrefGoogle Scholar
  • 7 H. Koizumi, A. Okazaki, M. Abou Ghantous, and M. Tachiki, J. Supercond. Novel Magn. 27, 2435 (2014). 10.1007/s10948-014-2626-9 CrossrefGoogle Scholar
  • 8 A. Okazaki, H. Wakaura, H. Koizumi, and M. Tachiki, J. Supercond. Novel Magn. 28, 3221 (2015). 10.1007/s10948-015-3176-5 CrossrefGoogle Scholar
  • 9 B. I. Shraiman and E. D. Siggia, Phys. Rev. Lett. 61, 467 (1988). 10.1103/PhysRevLett.61.467 CrossrefGoogle Scholar
  • 10 B. I. Shraiman and E. D. Siggia, Phys. Rev. Lett. 62, 1564 (1989). 10.1103/PhysRevLett.62.1564 CrossrefGoogle Scholar
  • 11 J. A. Vergés, E. Louis, P. S. Lomdahl, F. Guinea, and A. R. Bishop, Phys. Rev. B 43, 6099 (1991). 10.1103/PhysRevB.43.6099 CrossrefGoogle Scholar
  • 12 G. Seibold, Phys. Rev. B 58, 15520 (1998). 10.1103/PhysRevB.58.15520 CrossrefGoogle Scholar
  • 13 M. Berciu and S. John, Phys. Rev. B 59, 15143 (1999). 10.1103/PhysRevB.59.15143 CrossrefGoogle Scholar
  • 14 C. Timm and K. H. Bennemann, Phys. Rev. Lett. 84, 4994 (2000). 10.1103/PhysRevLett.84.4994 CrossrefGoogle Scholar
  • 15 M. Berciu and S. John, Phys. Rev. B 69, 224515 (2004). 10.1103/PhysRevB.69.224515 CrossrefGoogle Scholar
  • 16 B. V. Fine, Phys. Rev. B 75, 060504 (2007). 10.1103/PhysRevB.75.060504 CrossrefGoogle Scholar
  • 17 A. Bianconi, N. L. Saini, A. Lanzara, M. Missori, T. Rossetti, H. Oyanagi, H. Yamaguchi, K. Oka, and T. Ito, Phys. Rev. Lett. 76, 3412 (1996). 10.1103/PhysRevLett.76.3412 CrossrefGoogle Scholar
  • 18 S. Miyaki, K. Makoshi, and H. Koizumi, J. Phys. Soc. Jpn. 77, 034702 (2008). 10.1143/JPSJ.77.034702 LinkGoogle Scholar
  • 19 J. M. Tranquada, H. Woo, T. G. Perring, H. Goka, G. D. Gu, G. Xu, M. Fujita, and K. Yamada, Nature 429, 534 (2004). 10.1038/nature02574 CrossrefGoogle Scholar
  • 20 S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. 75, 1201 (2003). 10.1103/RevModPhys.75.1201 CrossrefGoogle Scholar
  • 21 J. Xia, E. Schemm, G. Deutscher, S. A. Kivelson, D. A. Bonn, W. H. Hardy, R. Liang, W. Siemons, G. Koster, M. M. Fejer, and A. Kapitulnik, Phys. Rev. Lett. 100, 127002 (2008). 10.1103/PhysRevLett.100.127002 CrossrefGoogle Scholar
  • 22 Z. A. Xu, N. P. Ong, Y. Wang, T. Kakeshita, and S. Uchida, Nature 406, 486 (2000). 10.1038/35020016 CrossrefGoogle Scholar
  • 23 L. Mangin-Thro, Y. Sidis, A. Wildes, and P. Bourges, Nat. Commun. 6, 7705 (2015). 10.1038/ncomms8705 CrossrefGoogle Scholar
  • 24 H. Wakaura and H. Koizumi, Physica C 521–522, 55 (2016). 10.1016/j.physc.2016.01.005 CrossrefGoogle Scholar
  • 25 K. Yamaji, T. Yanagisawa, M. Miyazaki, and R. Kadono, J. Phys. Soc. Jpn. 80, 083702 (2011). 10.1143/JPSJ.80.083702 LinkGoogle Scholar
  • 26 M. A. Kastner, R. J. Birgeneau, G. Shirane, and Y. Endoh, Rev. Mod. Phys. 70, 897 (1998). 10.1103/RevModPhys.70.897 CrossrefGoogle Scholar
  • 27 E. Schrödinger, Ann. Phys. (Leipzig) 384, 361 (1926). 10.1002/andp.19263840404 CrossrefGoogle Scholar
  • 28 A. M. Polyakov, Phys. Lett. B 59, 82 (1975). 10.1016/0370-2693(75)90162-8 CrossrefGoogle Scholar
  • 29 A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin, Phys. Lett. B 59, 85 (1975). 10.1016/0370-2693(75)90163-X CrossrefGoogle Scholar