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SCIENCE CHINA Physics, Mechanics & Astronomy, Volume 59 , Issue 1 : 617401(2016) https://doi.org/10.1007/s11433-015-5713-4

Disorder driven superconductor-insulator transition in inhomogenous d-wave superconductor

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  • ReceivedMay 20, 2015
  • AcceptedJun 18, 2015
  • PublishedDec 8, 2015
PACS numbers

Abstract


Funding

National Natural Science Foundation of China(11174036,11474023)

National Key Basic Research Program of China(2011CBA00108)

and the Fundamental Research Funds for the Central Universities. We are very grateful to W. A. Atkinson for his valuable comments to our manuscript. The computational resources utilized in this research were provided by Shanghai Supercomputer Center.


Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11174036 and 11474023), the National Key Basic Research Program of China (Grant Nos. 2011CBA00108), and the Fundamental Research Funds for the Central Universities. We are very grateful to W. A. Atkinson for his valuable comments to our manuscript. The computational resources utilized in this research were provided by Shanghai Supercomputer Center.


References

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  • Figure 1

    (Color online) (a) The lattice size scaling of the generalized inverse participation ratio of a quasiparticle with energy w =1.5 for attractive interactions V=-4, at different disorder strengths W=2, W=4, and W=10. The localization lengths for V=0, and V=-4, at different disorder strengths W=4 (b), and W=10 (c). Energies are in unit of t.

  • Figure 2

    (Color online) (a) Effect of disorder on the optical conductivity. (b) and (c) the matrix element density J(x,y) for the weakly (W=2) and strongly (W=10) disordered systems, respectively. The other parameters are: L=360, V=-4, M=2000. Energies are in unit of t.

  • Figure 3

    (Color online) The disorder induced spatial fluctuations of the superconducting order parameters |Δ i,i+x^ | at different disorder strength W=4 (a), and W=16 (c). Analogously, the fluctuations of | Δi, i+y ^| at different strength W=4 (b), and W=16 (d). The other parameters are: L=360, and V=-4. Energies are in unit of t.

  • Figure 4

    (Color online) Real-space plot of the NN superconducting order parameters Dij (numbers in black) and the on-site order parameters Di (numbers in brackets) of a certain part of a square lattice with a particular realization of the random potential ei denoted by the numbers in red. The bonds marked in red, green and blue are corresponding to the NN order parameters with Dij³0.4, 0.25<Dij<0.4, and Dij£0.25, respectively. The colors of the filled circles are in the same rule to display the compare values of the on-site order parameters Di. The other parameters are: V=-4 and W=4. Energies are in unit of t.

  • Figure 5

    Upper panel: the normalized NN superconducting order parameters Di,i+x/D0 as a function of the energy-difference |ei-ei+x| of the corresponding sites at different disorder strengths W=2, W=4, and W=16. D0=0.62 is the order parameter of a pure d-wave superconductor; lower panel: the normalized on-site order parameter Di/D0 as a function of site energy ei. The other parameters are: V=-4 and L=320. Energies are in unit of t.

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