FFLO States in Holographic Superconductors

ORAL

Abstract

We discuss the gravity dual of FFLO states in strongly coupled superconductors. The gravitational theory utilizes two $U(1)$ gauge fields and a scalar field coupled to a charged AdS black hole. The first gauge field couples with the scalar sourcing a charge condensate below a critical temperature, and the second gauge field incorporates a magnetic field that couples to spin in the boundary theory. The scalar is neutral under the second gauge field. By turning on a magnetic interaction between the second $U(1)$ field and the scalar, it is shown that, in the high-field limit, an inhomogeneous solution possesses a higher critical temperature than the homogeneous case, giving rise to FFLO states close to zero temperature.

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Authors

  • James Alsup

    University of Michigan-Flint

  • Oleg Popov

    Miami University, Chemistry Department, Penn State Univ., University Park, PA 16802, unaffiliated, Department of Materials Science and Engineering, Ohio State University Columbus, OH 43210, Department of Physics, Ohio State University, Columbus, OH 43210, Department of Physics and Astronomy, Wayne State University, Detroit, MI 48201, Korea Institute of Science and Technology, University of Cincinnati, Miami University of Ohio, University of Michigan, University of Notre Dame, University of Nebraska-Lincoln, Wayne State University, University of Tennessee, National Technical University of Athens, The University of Tennessee, Kettering Univeristy, University of Michigan-Dearborn, FNAL, Harvard University, California State University, Department of Physics, Kettering University, Flint, Michigan, Department of Natural Sciences, University of Michigan-Dearborn, Applied Sciences Inc., Cedarville, Ohio, Oakland University, University of Stockholm, Arizona State University

  • Oleg Popov

    Miami University, Chemistry Department, Penn State Univ., University Park, PA 16802, unaffiliated, Department of Materials Science and Engineering, Ohio State University Columbus, OH 43210, Department of Physics, Ohio State University, Columbus, OH 43210, Department of Physics and Astronomy, Wayne State University, Detroit, MI 48201, Korea Institute of Science and Technology, University of Cincinnati, Miami University of Ohio, University of Michigan, University of Notre Dame, University of Nebraska-Lincoln, Wayne State University, University of Tennessee, National Technical University of Athens, The University of Tennessee, Kettering Univeristy, University of Michigan-Dearborn, FNAL, Harvard University, California State University, Department of Physics, Kettering University, Flint, Michigan, Department of Natural Sciences, University of Michigan-Dearborn, Applied Sciences Inc., Cedarville, Ohio, Oakland University, University of Stockholm, Arizona State University