Typical Medium Dynamical Cluster Approximation For Disordered Superconductors

ORAL

Abstract

We study the effect of disorder on a three-dimensional attractive Hubbard model using the typical medium dynamical cluster approximation with the Bogoliubov-de Gennes approach as a cluster solver. We explore the effect of disorder for a fixed interaction strength on the diagonal and the off-diagonal typical density of states. As the disorder strength is increased, the pairing parameter or the off-diagonal typical density of states decreases and vanishes at a critical disorder strength while the spectral gap remains finite. This indicates the transition from a superconducting to a super-resistive phase. Also, we find that the critical disorder increases as the interaction strength decreases. A further increase in the disorder strength causes the diagonal typical density of states to vanish. This indicates the transition from a super-resistive to the Anderson insulator phase. Finally, using this analysis for various parameter regimes, we are able to construct a complete disorder vs. interaction strength phase diagram where the three different phases are identified.

*This work is supported by the NSF EPSCoR EPS-1003897. Supercomputer support is provided by LONI and HPC@LSU

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Authors

  • Elisha Siddiqui

    • Louisiana State University

  • Hanna Terletska

    • Louisiana State University
    • Ames Laboratory
    • Department of Physics \& Astronomy and Center for Computation \& Technology, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University. Ames lab.

  • Chinedu Ekuma

    • Louisiana State University

  • Vidhyadhiraja Narsimha Murthy Sudhindra

    • Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, 560064, India
    • Jawaharlal Nehru Centre for Advanced Scientific Research
    • Jawaharlal Nehru Ctr Adv Sci

  • Juana Moreno

    • Louisiana State University
    • Louisiana State Univ - Baton Rouge
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA

  • Mark Jarrell

    • Louisiana State University
    • Louisiana State Univ - Baton Rouge
    • Department of Physics \& Astronomy and Center for Computation \& Technology, Louisiana State University, Baton Rouge, LA 70803, USA
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA