Wilson ratio of a Tomonaga-Luttinger liquid in the one-dimensional spin-$1/2$ Heisenberg antiferromagnet CuPzN

ORAL

Abstract

In the Tomonaga-Luttinger liquid (TLL) phase of a one-dimensional antiferromagnet, the Wilson ratio and the TLL parameter, $K$, are one and the same except for a trivial numerical factor. This equivalence allows the determination of $K$ from magnetic susceptibility and specific heat. We have performed accurate magnetization and specific-heat measurements on the quasi-one-dimensional spin-1/2 Heisenberg antiferromagnet Cu(C$_4$H$_4$N$_2$)(NO$_3$)$_2$, known as CuPzN, at temperatures between 80 mK and 7.5 K and in magnetic fields up to 14.7 T and, from the data in the TLL regime, have obtained $K$ as a function of the magnetic field. The results are in excellent agreement with a prediction based on the Bethe ansatz.

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Authors

  • Christopher Aoyama

    University of Florida

  • Yohei Kono

    ISSP, University of Tokyo

  • Kristen Marino

    Pennsylvania State University

  • H.D. Zhou

    Department of Physics and Astronomy, University of Tennessee, University of Tennessee, Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA, Univ of Tennessee - Knoxville, U. of Tennessee, University of Tennessee Knoxville, University of Tennessee, TN, USA

  • Chisa Hotta

    University of Tokyo

  • Mark Turnbull

    Clark University

  • Christopher Landee

    Clark University, Department of Physics, Clark University

  • Toshiro Sakakibara

    ISSP, University of Tokyo

  • Yasumasa Takano

    University of Florida