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Criticality of the low-frequency conductivity for the bilayer quantum Heisenberg model

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  • Yoshihiro Nishiyama

    (Faculty of Science, Okayama University)

Abstract

The criticality of the low-frequency conductivity for the bilayer quantum Heisenberg model was investigated numerically. The dynamical conductivity (associated with the O(3) symmetry) displays the inductor σ(ω) = (iωL)−1 and capacitor iωC behaviors for the ordered and disordered phases, respectively. Both constants, C and L, have the same scaling dimension as that of the reciprocal paramagnetic gap Δ−1. Then, there arose a question to fix the set of critical amplitude ratios among them. So far, the O(2) case has been investigated in the context of the boson-vortex duality. In this paper, we employ the exact diagonalization method, which enables us to calculate the paramagnetic gap Δ directly. Thereby, the set of critical amplitude ratios as to C, L and Δ are estimated with the finite-size-scaling analysis for the cluster with N ≤ 34 spins.

Suggested Citation

  • Yoshihiro Nishiyama, 2018. "Criticality of the low-frequency conductivity for the bilayer quantum Heisenberg model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(4), pages 1-6, April.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:4:d:10.1140_epjb_e2018-80707-7
    DOI: 10.1140/epjb/e2018-80707-7
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    Statistical and Nonlinear Physics;

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