Quantum Tricritical Points in NbFe${}_2$

Abstract

Quantum critical points (QCPs) emerge when a 2nd order phase transition is suppressed to zero temperature. In metals the quantum fluctuations at such a QCP can give rise to new phases including unconventional superconductivity. Whereas antiferromagnetic QCPs have been studied in considerable detail ferromagnetic (FM) QCPs are much harder to access. In almost all metals FM QCPs are avoided through either a change to 1st order transitions or through an intervening spin-density-wave (SDW) phase. Here, we study the prototype of the second case, NbFe${}_2$. We demonstrate that the phase diagram can be modelled using a two-order-parameter theory in which the putative FM QCP is buried within a SDW phase. We establish the presence of quantum tricritical points (QTCPs) at which both the uniform and finite $q$ susceptibility diverge. The universal nature of our model suggests that such QTCPs arise naturally from the interplay between SDW and FM order and exist generally near a buried FM QCP of this type. Our results promote NbFe${}_2$ as the first example of a QTCP, which has been proposed as a key concept in a range of narrow-band metals, including the prominent heavy-fermion compound YbRh${}_2$Si${}_2$.

arXiv comment21 pages including SI

References in corpus (17)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Metallic Quantum Ferromagnets
• First order transitions and multicritical points in weak itinerant ferromagnets
• Quantum Phase Transitions in the Itinerant Ferromagnet ZrZn${}_2$
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Inhomogeneous phase formation on the border of itinerant ferromagnetism
• Quantum-critical behavior of itinerant ferromagnets
• Ferromagnetic Quantum Critical Point Avoided by the Appearance of Another Magnetic Phase in LaCrGe${}_3$ under Pressure
• Spin Fluctuation Theory for Quantum Tricritical Point Arising in Proximity to First-Order Phase Transitions: Applications to Heavy-Fermion Systems, YbRh2Si2, CeRu2Si2, and beta-YbAlB4
• Magnetism in Nb(1-y)Fe(2+y) - composition and magnetic field dependence
• Avoided ferromagnetic quantum critical point: Unusual short-range ordered state in CeFePO
• YbRh2Si2: Quantum tricritical behavior in itinerant electron systems
• Spectroscopic study of the magnetic ground state of Nb${}_{1-y}$Fe${}_{2+y}$
• Normal and intrinsic anomalous Hall effect in Nb1-yFe2+y
• Pressure-Temperature-Magnetic Field Phase Diagram of Ferromagnetic Kondo Lattice CeRuPO
• Resummation of fluctuations near ferromagnetic quantum critical points
• Quantum critical behavior of itinerant ferromagnets

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