Universal dynamics of magnetic monopoles in two-dimensional kagom\'{e} ice

A magnetic monopole in spin ice is a novel quasiparticle excitation in condensed matter physics, and we found that the ac frequency dependent magnetic susceptibility \(\chi(\omega)\) in the two-dimensional (2D) spin ice (so-called kagom\'{e} ice) of Dy\(_2\)Ti\(_2\)O\(_7\) shows a single scalin...

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Bibliographic Details
Published in:arXiv.org 2021-03
Main Authors: Takatsu, Hiroshi, Goto, Kazuki, Otsuka, Hiromi, Sato, Taku J, Lynn, Jeffrey W, Matsubayashi, Kazuyuki, Uwatoko, Yoshiya, Higashinaka, Ryuji, Matsuhira, Kazuyuki, Hiroi, Zenji, Kadowaki, Hiroaki
Format: Article
Language:English
Subjects:
Condensed matter physics
Elementary excitations
Magnetic monopoles
Magnetic permeability
Magnets
Scaling laws
Spin ice
Superconductors
Two dimensional models
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Summary:A magnetic monopole in spin ice is a novel quasiparticle excitation in condensed matter physics, and we found that the ac frequency dependent magnetic susceptibility \(\chi(\omega)\) in the two-dimensional (2D) spin ice (so-called kagom\'{e} ice) of Dy\(_2\)Ti\(_2\)O\(_7\) shows a single scaling form. This behavior can be understood in terms of the dynamical scaling law for 2D Coulomb gas (CG) systems [Phys. Rev. B 90, 144428 (2014)], characterized by the charge correlation length \(\xi (\propto1/\sqrt{\omega_1})\), where \(\omega_{1}\) is a characteristic frequency proportional to the peak position of the imaginary part of \(\chi(\omega)\). It is a generic behavior among a wide variety of models such as the vortex dynamics of 2D superconductors, 2D superfluids, classical XY magnets, and dynamics of melting of Wigner crystals.
ISSN:2331-8422
DOI:10.48550/arxiv.2103.12101