Nature of the Quantum Phase Transition to a Spin-Nematic Phase

Kirkpatrick, T. R.; Belitz, D.

doi:10.1103/physrevlett.106.105701

Cited by 11 publications

(17 citation statements)

References 33 publications

(52 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For such systems in the absence of quenched disorder it was later shown that the same mechanism operative in FMs generically causes the spin-nematic transition to be of first order (Kirkpatrick and Belitz, 2011).…”

Section: Magnetoelastic Effectsmentioning

confidence: 99%

See 1 more Smart Citation

Metallic quantum ferromagnets

et al. 2016

Self Cite

View full text Add to dashboard Cite

We give an overview of quantum phase transitions (QPTs) in metallic ferromagnets, discussing both experimental and theoretical aspects. These QPTs can be classified with respect to the presence and strength of quenched disorder: Clean systems generically show a discontinuous, or first-order, QPT from a ferromagnetic to a paramagnetic state as a function of some control parameter, as predicted by theory. Disordered systems are much more complicated, depending on the disorder strength and the distance from the QPT. In many disordered materials the QPT is continuous, or second order, and Griffiths-phase effects coexist with QPT singularities near the transition. In other systems the transition from the ferromagnetic state at low temperatures is to a different type of long-range order, such as an antiferromagnetic or a spin-density-wave state. In still other materials a transition to a state with glass-like spin dynamics is suspected. The review provides a comprehensive discussion of the current understanding of these various transitions, and of the relation between experiment and theory.

show abstract

Section: Magnetoelastic Effectsmentioning

confidence: 99%

“…In addition, it applies to systems where the magnetic order is ferrimagnetic (Kirkpatrick and Belitz, 2012a) or magnetic nematic (Kirkpatrick and Belitz, 2011) rather than ferromagnetic.…”

Section: B Quantum Ferromagnetic Transitions In Metalsmentioning

confidence: 99%

Metallic quantum ferromagnets

et al. 2016

Self Cite

View full text Add to dashboard Cite

show abstract

“…For example, the spin-triplet nematic state first proposed in [71] and studied in a simple model by a number of authors [72][73][74][75][76][77][78][79][80][81][82] was first shown to have its transition driven first order by fluctuations in Ref. [83]. It was later shown [84], using fermionic quantum order-by-disorder, that in fact fluctuations promote the formation of a new phase near to the quantum critical point that intertwines magnetic modulation and d-wave orbital order in a continuum version of bond density wave order(see Fig.6).…”

Section: Experimental Prospects -Beyond the Ferromagnetmentioning

confidence: 99%

Quantum Order-by-Disorder in Strongly Correlated Metals

Green

Conduit

Krüger

2018

Annu. Rev. Condens. Matter Phys.

View full text Add to dashboard Cite

Entropic forces in classical many-body systems, e.g. colloidal suspensions, can lead to the formation of new phases. Quantum fluctuations can have similar effects: spin fluctuations drive the superfluidity of Helium-3 and a similar mechanism operating in metals can give rise to superconductivity. It is conventional to discuss the latter in terms of the forces induced by the quantum fluctuations. However, focusing directly upon the free energy provides a useful alternative perspective in the classical case and can also be applied to study quantum fluctuations. Villain first developed this approach for insulating magnets and coined the term order-by-disorder to describe the observed effect. We discuss the application of this idea to metallic systems, recent progress made in doing so, and the broader prospects for the future. CONTENTS

show abstract

“…It has already been argued in Ref. [55] that any Pomeranchuk instability in the spin-triplet channel will ultimately be driven first-order by fluctuations. In the related itinerant ferromagnet, these same fluctuations are responsible for a much richer set of instabilities, so the appearance of novel phases driven by nematic fluctuations is to be expected.…”

Section: Fluctuation Contributions To Free Energy Of the Spin-trmentioning

confidence: 90%

“…[55], where it was argued that the transition to "non-s-wave ferromagnetism" is driven first-order by fluctuations. We show that, in fact, fluctuations induce an intertwining of magnetic modulation and d-wave nematic order, resulting in a continuum version of bond density wave order [56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Stability of a spin-triplet nematic state near to a quantum critical point

Hannappel¹,

Pedder

Krüger

et al. 2016

Phys. Rev. B

View full text Add to dashboard Cite

We analyze a model of itinerant electrons interacting through a quadrupole density-density repulsion in three dimensions. At the mean field level, the interaction drives a continuous Pomeranchuk instability towards d-wave, spin-triplet nematic order, which simultaneously breaks the SU(2) spinrotation and spatial rotation symmetries. This order is characterized by spin antisymmetric, elliptical deformations of the Fermi surfaces of up and down spins. We show that the effects of quantum fluctuations are similar to those in metallic ferromagnets, rendering the nematic transition first-order at low temperatures. Using the fermionic quantum order-by-disorder approach to self-consistently calculate fluctuations around possible modulated states, we show that the first-order transition is pre-empted by the formation of a helical spin-triplet d-density wave. Such a state is closely related to d-wave bond density wave order in square-lattice systems. Moreover, we show that it may coexist with a modulated, p-wave superconducting state.

show abstract

Nature of the Quantum Phase Transition to a Spin-Nematic Phase

Cited by 11 publications

References 33 publications

Metallic quantum ferromagnets

Metallic quantum ferromagnets

Quantum Order-by-Disorder in Strongly Correlated Metals

Stability of a spin-triplet nematic state near to a quantum critical point

Contact Info

Product

Resources

About