Quantum Critical Singularities in Two-Dimensional Metallic XY Ferromagnets

Published

February 20, 2018

Author(s)

Chandra M. Varma, W. J. Gannon, M. C. Aronson, Jose Rodriguez Rivera, Yiming Qiu

Abstract

An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature and magnetic field dependence of the correlation function near a 2D-ferromagnetic quantum-critical point (QCP) is constructed, and its singularities are determined by comparing to the recent calculations of the correlation functions of the dissipative quantum XY model (DQXY). The calculations are motivated by the measured properties of the metallic compound Yfe₂Al₁₀, which is a possible realization of the DQXY model in 2D. The frequency, temperature and magnetic field dependence of the scaling function as well as the singularities measured in the experiments are given by the scaling function as well as the singularities measured in the experiments are given by the theory without adjustable exponents. The same model is applicable to the superconductor-insulator transitions, classes of metallic AFM-QCPs, and as fluctuations of the loop-current ordered state in hole-doped cuprates. The results presented here lend credence to the solution found for the 2D-DQXY model, and its applications in understanding quantum-critical properties of diverse systems.

Citation

Physical Review B

Volume

97

Issue

8

Pub Type

Journals

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Keywords

quantum critical singularity, xy ferromagnet, neutron scattering

Citation

Varma, C. , Gannon, W. , Aronson, M. , Rodriguez Rivera, J. and Qiu, Y. (2018), Quantum Critical Singularities in Two-Dimensional Metallic XY Ferromagnets, Physical Review B, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=925345 (Accessed November 6, 2025)