Universal low-temperature tricritical point in metallic ferromagnets and ferrimagnets

Abstract

An earlier theory of the quantum phase transition in metallic ferromagnets is revisited and generalized in three ways. It is shown that the mechanism that leads to a fluctuation-induced first-order transition in metallic ferromagnets with a low Curie temperature is valid, (1) irrespective of whether the magnetic moments are supplied by the conduction electrons or by electrons in another band, (2) for ferromagnets in the XY and Ising universality classes as well as for Heisenberg ferromagnets, and (3) for ferrimagnets as well as for ferromagnets. This vastly expands the class of materials for which a first-order transition at low temperatures is expected, and it explains why strongly anisotropic ferromagnets, such as UGe2, display a first-order transition as well as Heisenberg magnets.

11pp, 2 figs

References in corpus (7)

• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Tricritical point and wing structure in the itinerant ferromagnet UGe2
• High-Field Superconductivity at an Electronic Topological Transition in URhGe
• Quantum order-by-disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points
• The suppression of hidden order and onset of ferromagnetism in URu2Si2 via Re substitution
• Effective Soft-Mode Theory of Strongly Interacting Fermions
• Theory of a Fermi-Liquid-to-Non-Fermi-Liquid Quantum Phase Transition in Dimensions d>1

Cited by in corpus (39)

• Metallic Quantum Ferromagnets
• Exponent relations at quantum phase transitions, with applications to metallic quantum ferromagnets
• Quantum critical metals in $d=3+1$
• Ferromagnetic Quantum Critical Point in Non-Centrosymmetric Systems
• Avoided ferromagnetic quantum critical point: Unusual short-range ordered state in CeFePO
• Disorder dependence of the ferromagnetic quantum phase transition
• Spectroscopic study of the magnetic ground state of Nb${}_{1-y}$Fe${}_{2+y}$
• Quantum triple point and quantum critical endpoints in metallic magnets
• Magnetic hard-axis ordering near ferromagnetic quantum criticality
• Resummation of fluctuations near ferromagnetic quantum critical points
• Localized 4f-electrons in the quantum critical heavy fermion ferromagnet CeRh${}_6$Ge${}_4$
• Helical glasses near ferromagnetic quantum criticality
• Towards ferromagnetic quantum criticality in FeGa3-xGex: 71Ga NQR as a zero field microscopic probe
• Quantum Annealed Criticality
• Pre-asymptotic critical behavior and effective exponents in disordered metallic quantum ferromagnets
• Third law of thermodynamics and the shape of the phase diagram for systems with a first-order quantum phase transition
• Ferromagnetic Quantum Critical Point in CePd${}_2$P${}_2$ with Pd $\to$ Ni Substitution
• Quantum Annealed Criticality: A Scaling Description
• Quantum ferromagnet in the proximity of the tricritical point
• Nonanalyticities in a Strongly Correlated Fermi Liquid: Corrections to Scaling at the Fermi-Liquid Fixed Point
• Unconventional transport properties of an itinerant ferromagnet: EuTi${}_{1-x}$Nb${}_x$O${}_3$ ($x$=0.10$-$0.20)
• Tricritical wings in UGe${}_2$: A microscopic interpretation
• Constraints on the merging of the transition lines at the tricritical point in a wing-structure phase diagram
• Fluctuation-induced pair density wave in itinerant ferromagnets
• Quantum Spin-$1$ Anisotropic Ferromagnetic Heisenberg Model in a Crystal Field: A Variational Approach
• Avoided ferromagnetic quantum critical point: Antiferromagnetic ground state in substituted CeFePO
• Pairing gaps near ferromagnetic quantum critical points
• Ferromagnetic quantum critical point in a locally noncentrosymmetric and nonsymmorphic Kondo metal
• Generic non-Fermi-liquid behavior of the resistivity in magnets with ferromagnetic, helical, or skyrmionic order
• The quantum ferromagnetic transition in a clean Kondo lattice is discontinuous
• Magnetic Quantum Phase Transitions in a Clean Dirac Metal
• Quantum Ferromagnetic Transition in Clean Dirac Metals
• Pressure-induced suppression of ferromagnetism in CePd${}_2$P${}_2$
• Anisotropic Zeeman Splitting in YbNi4P2
• Magnon excitations and quantum critical behavior of the ferromagnet U${}_4$Ru${}_7$Ge${}_6$
• Spin dynamics of antiferromagnets in the presence of a homogeneous magnetization
• Nature of quantum criticality in the Ising ferromagnet TbV${}_6$Sn${}_6$
• Electronic structure dimensionality of the quantum-critical ferromagnet YbNi${}_4$P${}_2$
• Metamagnetism and tricriticalilty in heavy-fermion ferromagnet URhGe