Quantum critical singularities in two-dimensional metallic XY ferromagnets

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 YFe${}_2$Al${}_{10}$, which is a 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 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.

arXiv commentExperimental results on dynamics near the quantum-critical point have been added with some additions in the text to point out their correspondence with theory. Some corrections have also been made

References in corpus (7)

• Theory of the Quantum Critical Fluctuations in Cuprates
• Local Quantum Criticality in the Two-dimensional Dissipative Quantum XY Model
• Quantum criticality in the two-dimensional dissipative quantum XY model-II
• Topological Excitations near the Local Critical Point in the Dissipative 2D XY model
• Phase diagram and quantum-criticality of the two dimensional dissipative quantum XY model
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
• Crossovers due to anisotropy and disorder in quantum critical fluctuations

Cited by in corpus (8)

• Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions
• Noncommutativity between the low-energy limit and integer dimension limits in the $\mathbf{\epsilon }$-expansion: a case study of the antiferromagnetic quantum critical metal
• Space of non-Fermi liquids
• Anomalous quantum-critical spin dynamics in YFe2Al10
• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Emergence of curved momentum-spacetime and its effect on the cyclotron motion in the antiferromagnetic quantum critical metal
• Anomalous quasiparticle lifetime in geometric quantum critical metals
• Dynamical kinetic energy quenching in the antiferromagnetic quantum critical metals