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Fractal Structure Favoring Superconductivity at High Temperatures in a Stack of Membranes Near a Strain Quantum Critical Point

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Abstract

The statistical physics of the 3D ordered oxygen interstitials has been measured in La2CuO4+y using an advanced tool, scanning x-ray diffraction with focused synchrotron radiation. The observed fractal scale invariant distribution is found in a cuprate in the proximity to a stripes critical point in the 3D Aeppli-Bianconi phase diagram of cuprates, where T c is function of both hole doping and superlattice misfit strain. Therefore high-temperature superconductivity is favored by complex fractal systems while on the contrary standard low temperature superconductivity is favored in simple periodic crystals. This work shows that the fractal structural distribution in a stack of membranes favors the macroscopic quantum coherent condensate at high temperature. This result opens new perspectives for the understanding the relationship between emergent scale-free distribution in living matter and possible quantum coherent phenomena able to resist to the attacks of temperature decoherence effects.

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References

  1. Dagotto, E.: Science 309, 257–262 (2005). doi:10.1126/science.1107559

    Article  ADS  Google Scholar 

  2. Bishop, A.R., Shenoy, S.R., Sridhar, S. (eds.): Intrinsic Multiscale Structure and Dynamics in Complex Electronic Oxides. World Scientific, Singapore (2003). URL http://search.barnesandnoble.com/Intrinsic-Multiscale-Structure-and-Dynamics-in-Complex-Electronic-Oxides/A-R-Bishop/e/9789812382689

    Google Scholar 

  3. Cubrovic, M., Zaanen, J., Schalm, K.: Science 325, 439–444 (2009) and references therein. doi:10.1126/science.1174962

    Article  MathSciNet  ADS  Google Scholar 

  4. Wadhawan, V.K.: Smart structures: blurring the distinction between the living and the nonliving. In: Monographs on the Physics and Chemistry of Materials, vol. 65. Oxford University Press, Oxford (2007). URL http://www.worldcat.org/isbn/9780199229178

    Google Scholar 

  5. Tokura, Y.: Reports on Progress in Physics 69, 797–851 (2006). doi:10.1088/0034-4885/69/3/R06

    Article  ADS  Google Scholar 

  6. Ahn, K.H., Lookman, T., Bishop, A.R.: Strain-induced metal—insulator phase coexistence in perovskite manganites. Nature 428, 401–404 (2004). doi:10.1038/nature02364

    Article  ADS  Google Scholar 

  7. Bishop, A.R.: High-T c oxides: a collusion of spin, charge and lattice. J. Phys. Conf. Ser. 108, 012027 (2008). doi:10.1088/1742-6596/108/1/012027

    Article  ADS  Google Scholar 

  8. Muller, K.A., Bussmannn-Holder, A.: Superconductivity in complex systems. In: Structure & Bonding, vol. 114. Springer, Berlin/Heidelberg (2005). doi:10.1007/b101015

    Google Scholar 

  9. Muller, K.A.: Essential heterogeneities in hole-doped cuprate. In: Structure & Bonding, vol. 114, pp. 1–11. Springer, Berlin/Heidelberg (2005) ;

    Google Scholar 

  10. Bianconi, A., Saini, N.L.: Nanoscale lattice fluctuations in cuprates and manganites. In: Structure & Bonding, vol. 114, pp. 287–330. Springer, Berlin/Heidelberg (2005)

    Google Scholar 

  11. Fratini, M., Poccia, N., Ricci, A., Campi, G., Burghammer, M., Aeppli, G., Bianconi, A.: Nature 466, 841 (2010). doi:10.1038/nature09260, ISSN 0028-0836

    Article  ADS  Google Scholar 

  12. Evans, P.G., Isaacs, E.D., Aeppli, G., Cai, Z., Lai, B.: Science 295, 1042–1045 (2002). doi:10.1126/science.1066870

    Article  ADS  Google Scholar 

  13. Soh, Y.-A., et al.: J. Appl. Phys. 91, 7742 (2002). doi:10.1063/1.1455609

    Article  ADS  Google Scholar 

  14. Mannella, N., et al.: Nature 438, 474–478 (2005). doi:10.1038/nature04273

    Article  ADS  Google Scholar 

  15. Bianconi, A., et al.: J. Phys., Condens. Matter 12, 10655–10666 (2000). doi:10.1088/0953-8984/12/50/326

    Article  ADS  Google Scholar 

  16. Agrestini, S., Saini, N.L., Bianconi, G., Bianconi, A.: J. Phys. A, Math. Gen. 36, 9133 (2003). doi:10.1088/0305-4470/36/35/302

    Article  ADS  Google Scholar 

  17. Sanna, S., Agrestini, S., Zheng, K., Renzi, R.D., Saini, N.L.: Europhys. Lett. 86, 67007 (2009). doi:10.1209/0295-5075/86/67007

    Article  ADS  Google Scholar 

  18. Skinner, S.J., Kilner, J.A.: Mater. Today 6, 30–37 (2003). doi:10.1016/S1369-7021(03)00332-8

    Article  Google Scholar 

  19. Radaelli, P.G., et al.: Phys. Rev. B 48, 499–510 (1993). doi:10.1103/PhysRevB.48.499

    Article  ADS  Google Scholar 

  20. Attfield, J.P., Kharlanov, A.L., Mcallister, J.A.: Nature 394, 157–159 (1998). doi:10.1038/28120

    Article  ADS  Google Scholar 

  21. Fujita, K., Noda, T., Kojima, K.M., Eisaki, H., Uchida, S.: Phys. Rev. Lett. 95, 097006 (2005). doi:10.1103/PhysRevLett.95.097006

    Article  ADS  Google Scholar 

  22. Liu, Q.Q., et al.: Phys. Rev. B 74 (2006). doi:10.1103/PhysRevB.74.100506

  23. Frello, T.: Physica C, Supercond. 282–287, 1089–1090 (1997). doi:10.1016/S0921-4534(97)00649-7

    Article  Google Scholar 

  24. Lee, Y.S., et al.: Phys. Rev. B 69, 020502 (2004) and references therein. doi:10.1103/PhysRevB.69.02050

    Article  ADS  Google Scholar 

  25. Poccia, N., Fratini, M.: J. Supercond. Nov. Magn. 22, 299–303 (2009). doi:10.1007/s10948-008-0435-8

    Article  Google Scholar 

  26. Fratini, M., Poccia, N., Bianconi, A.: J. Phys. Conf. Ser. 108, 012036 (2008). doi:10.1088/1742-6596/108/1/012036

    Article  ADS  Google Scholar 

  27. Poccia, N., Ricci, A., Bianconi, A.: Advances in Condensed Matter. Physics 2010, 261849 (2010). doi:10.1155/2010/261849.

    Google Scholar 

  28. Mohottala, H.E., et al.: Nat. Mater. 5, 377–382 (2006). doi:10.1038/nmat1633

    Article  ADS  Google Scholar 

  29. Kusmartsev, F., et al.: Phys. Lett. A 275, 118–123 (2000). doi:10.1016/S0375-9601(00)00555-7

    Article  ADS  Google Scholar 

  30. Innocenti, D., Ricci, A., Poccia, N., Campi, G., Fratini, M., Bianconi, A.: J. Supercond. Nov. Magn. 22, 529 (2009). doi:10.1007/s10948-009-0474-9, ISSN 1557-1939

    Article  Google Scholar 

  31. Kivelson, S.A.: Nat. Mater. 5, 343–344 (2006) and references therein. doi:10.1038/nmat1638

    Article  ADS  Google Scholar 

  32. Savici, A.T., et al.: Phys. Rev. B 66, 014524 (2002). doi:10.1103/PhysRevB.66.014524

    Article  ADS  Google Scholar 

  33. Bianconi, A., Saini, N.L., Lanzara, A., Missori, M., Rossetti, T., Oyanagi, H., Yamaguchi, H., Oka, K., Ito, T.: Phys. Rev. Lett. 76, 3412 (1996). doi:10.1103/PhysRevLett.76.3412

    Article  ADS  Google Scholar 

  34. Lee, K.H., Hoffmann, R.: J. Phys. Chem. A 110, 609 (2006). doi:10.1021/jp053154f

    Article  Google Scholar 

  35. Kugel, K.I., Rakhmanov, A.L., Sboychakov, A.O., Poccia, N., Bianconi, A.: Phys. Rev. B 78, 165124 (2008). doi:10.1103/PhysRevB.78.165124

    Article  ADS  Google Scholar 

  36. Kugel, K.I., et al.: Supercond. Sci. Technol. 22, 014007 (2009). doi:10.1088/0953-2048/22/1/014007

    Article  ADS  Google Scholar 

  37. de Mello, E.V.L., Kasal, R.B., Passos, C.A.C.: J. Phys., Condens. Matter 21, 235701 (2009). doi:10.1088/0953-8984/21/23/235701, ISSN 0953-8984

    Article  ADS  Google Scholar 

  38. de Mello, E.V.L., Caixeiro, E.S.: Phys. Rev. B 70, 224517 (2004). doi:10.1103/PhysRevB.70.224517

    Article  ADS  Google Scholar 

  39. Phillips, J.C.: Proc. Natl. Acad. Sci. USA 105, 9917 (2008). doi:10.1073/pnas.0803215105, ISSN 0027-8424

    Article  ADS  Google Scholar 

  40. Phillips, J.C.: Phys. Rev. B 75, 214503 (2007). doi:10.1103/PhysRevB.75.214503

    Article  ADS  Google Scholar 

  41. Bianconi, A., Di-Castro, D., Saini, N.L., Bianconi, G.: In: Thorpe, M.F., Phillips, J.C. (eds.) Phase Transitions and Self-Organization in Electronic and Molecular Networks. Fundamental Materials Research, pp. 375–388. Springer, New York (2001). ISBN 978-0-306-47113-1. doi:10.1007/0-306-47113-2_24

    Google Scholar 

  42. Bianconi, A.: Int. J. Mod. Phys. B 14, 3289 (2000). doi:10.1142/S0217979200003769

    Article  ADS  Google Scholar 

  43. Ricci, A., Poccia, N., Joseph, B., Barba, L., Arrighetti, G., Ciasca, G., Yan, J.Q., McCallum, R.W., Lograsso, T.A., Zhigadlo, N.D., et al.: Phys. Rev. B 82, 144507 (2010). doi:10.1103/PhysRevB.82.144507

    Article  ADS  Google Scholar 

  44. Vittorini-Orgeas, A., Bianconi, A.: J. Supercond. Nov. Magn. 22, 215 (2009). doi:10.1007/s10948-008-0433-x, ISSN 1557-1939

    Article  Google Scholar 

  45. Bianconi, A.: Solid State Commun. 89, 933 (1994). doi:10.1016/0038-1098(94)90354-9, ISSN 00381098

    Article  ADS  Google Scholar 

  46. Bianconi, A., Valletta, A., Perali, A., Saini, N.L.: Physica C, Supercond. 296, 269 (1998). doi:10.1016/S0921-4534(97)01825-X, ISSN 09214534

    Article  ADS  Google Scholar 

  47. Caivano, R., et al.: Supercond. Sci. Technol. 22, 014004 (2009). doi:10.1088/0953-2048/22/1/014004

    Article  ADS  Google Scholar 

  48. Innocenti, D., Poccia, N., Ricci, A., Valletta, A., Caprara, S., Perali, A., Bianconi, A.: Phys. Rev. B 82, 184528 (2010). doi:10.1103/PhysRevB.82.184528

    Article  ADS  Google Scholar 

  49. Innocenti, D., Caprara, S., Valletta, A., Bianconi, A.: Shape resonance in topological multiband superconducting superlattices. J. Supercond. Nov. Magn. (2010, this issue). doi:10.1007/s10948-010-1096-y

  50. Qi, X.L., Hughes, T.L., Raghu, S., Zhang, S.C.: Phys. Rev. Lett. 102, 187001 (2009). doi:10.1103/PhysRevLett.102.187001

    Article  ADS  Google Scholar 

  51. Qi, X.L., Zhang, S.C.: Preprint (2010). arXiv:1008.2026

  52. Feigel’man, M.V., Ioffe, L.B., Kravtsov, V.E., Cuevas, E.: Ann. Phys. 325, 1390 (2010). doi:10.1016/j.aop.2010.04.001, ISSN 00034916

    Article  ADS  MATH  Google Scholar 

  53. Kauffman, S.A.: The Origins of Order: Self Organization and Selection in Evolution. Oxford University Press, New York (1993)

    Google Scholar 

  54. Kauffman, S.A.: Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theor. Biol. 22, 437–467 (1969)

    Article  MathSciNet  Google Scholar 

  55. Barabási, A.L., Oltvai, Z.N.: Network biology: understanding the cell’s functional organization. Nat. Rev. Genet. 5, 101–113 (2004)

    Article  Google Scholar 

  56. Bonifazi, P., et al.: Science (N.Y.) 326, 1419–1424 (2009). doi:10.1126/science.1175509

    Article  ADS  Google Scholar 

  57. Winter, R., Gabke, A., Czeslik, C., Pfeifer, P.: Power-law fluctuations in phase-separated lipid membranes. Phys. Rev. E 60, 7354–7359 (1999). doi:10.1103/PhysRevE.60.7354

    Article  ADS  Google Scholar 

  58. Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Rev. Mod. Phys. 80, 517 (2008). doi:10.1103/RevModPhys.80.517, ISSN 0034-6861

    Article  MathSciNet  ADS  MATH  Google Scholar 

  59. Coleman, P., Schofield, A.J.: Nature 433, 226–229 (2005). doi:10.1038/nature03279

    Article  ADS  Google Scholar 

  60. Zaanen, J.: Nature 466, 825–827 (2010). doi:10.1038/466825a

    Article  ADS  Google Scholar 

  61. Poccia, N., Ricci, A., Innocenti, D., Bianconi, A.: Int. J. Mol. Sci. 10, 2084–2106 (2009). doi:10.3390/ijms10052084

    Article  Google Scholar 

  62. Engel, G.S., et al.: Nature 446, 782–786 (2007). doi:10.1038/nature05678

    Article  ADS  Google Scholar 

  63. Cai, J., Guerreschi, G.G., Briegel, H.J.: Phys. Rev. Lett. 104, 220502 (2010). doi:10.1103/PhysRevLett.104.220502

    Article  ADS  Google Scholar 

  64. Vedral, V.: J. Phys. Conf. Ser. 143, 012010 (2009). doi:10.1088/1742-6596/143/1/012010

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Sapienza University of Rome, P. le A. Moro 2, 00185, Roma, Italy

    Nicola Poccia, Alessandro Ricci & Antonio Bianconi

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  1. Nicola Poccia
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  2. Alessandro Ricci
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  3. Antonio Bianconi
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Correspondence to Nicola Poccia.

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Poccia, N., Ricci, A. & Bianconi, A. Fractal Structure Favoring Superconductivity at High Temperatures in a Stack of Membranes Near a Strain Quantum Critical Point. J Supercond Nov Magn 24, 1195–1200 (2011). https://doi.org/10.1007/s10948-010-1109-x

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