Transverse fields to tune an Ising-nematic quantum phase transition

Maharaj, Akash V.; Rosenberg, Elliott; Hristov, Alexander T.; Berg, Erez; Fernandes, Rafael M.; Fisher, I. R.; Kivelson, Steven

doi:10.1073/pnas.1712533114

Cited by 39 publications

(49 citation statements)

References 39 publications

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“…This effect, which we dub electro-nematic, is unique to the vestigial nature of the nematic order, and would not be present if nematicity was simply a manifestation of ferro-orbital order, see Ref. 49.…”

Section: B Conjugate Fields and Transverse Fieldsmentioning

confidence: 91%

“…1. Because these three vestigial phases are not independent, but connected by transformations in the two-dimensional internal spaces of the η α order parameters, they can act as "transverse fields" to each other [49]. This opens the possibility of using, for instance, an electric field to induce the spin-current vestigial order, which can then be employed to tune the nematic phase transition.…”

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confidence: 99%

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Intertwined spin-orbital coupled orders in the iron-based superconductors

2019

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The underdoped phase diagram of the iron-based superconductors exemplifies the complexity common to many correlated materials. Indeed, multiple ordered states that break different symmetries but display comparable transition temperatures are present. Here, we argue that such a complexity can be understood within a simple unifying framework. This framework, built to respect the symmetries of the non-symmorphic space group of the FeAs/Se layer, consists of primary magnetically-ordered states and their vestigial phases that intertwine spin and orbital degrees of freedom. All vestigial phases have Ising-like and zero wave-vector order parameters, described in terms of composite spin order and exotic orbital-order patterns such as spin-orbital loop-currents, staggered atomic spin-orbit coupling, and emergent Rashba-and Dresselhaus-type spin-orbit interactions. Moreover, they host unusual phenomena, such as the electro-nematic effect, by which electric fields acts as transverse fields to the nematic order parameter, and the ferro-Néel effect, by which a uniform magnetic field induces Néel order. We discuss the experimental implications of our findings to iron-based superconductors and possible extensions to other correlated compounds with similar space groups. netically ordered phases are described in terms of two magnetic vector order parameters:Formally, M a is the staggered Fe magnetization with mo-arXiv:1902.10831v2 [cond-mat.supr-con]

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Section: B Conjugate Fields and Transverse Fieldsmentioning

confidence: 91%

mentioning

confidence: 99%

Intertwined spin-orbital coupled orders in the iron-based superconductors

2019

Self Cite

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“…To verify this expectation, we numerically solve the integral equation (22) to find the non-equilibrium distribution function Φ (θ) and then compute the resistivity in Eqs. (26) and (27). To make the numerical calculations convergent, we consider that at the QCP the effective nematic mass vanishes linearly with temperature, i.e.…”

Section: Fig 4 (Color Online) (A-b)mentioning

confidence: 99%

“…Finally, certain 4f intermetallics, such as TmAg 2 , undergo a single transition to a nematic phase as temperature is lowered [26]. It has been proposed that shear strain can be used to tune this nematic transition to zero temperature [27], promoting a putative nematic QCP.…”

Section: Introductionmentioning

confidence: 99%

Resistivity near a nematic quantum critical point: Impact of acoustic phonons

Carvalho

Fernandes

2019

Phys. Rev. B

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We revisit the issue of the resistivity of a two-dimensional electronic system tuned to a nematic quantum critical point (QCP), focusing on the non-trivial impact of the coupling to the acoustic phonons. Due to the unavoidable linear coupling between the electronic nematic order parameter and the lattice strain fields, long-range nematic interactions mediated by the phonons emerge in the problem. By solving the semi-classical Boltzmann equation in the presence of scattering by impurities and nematic fluctuations, we determine the temperature dependence of the resistivity as the nematic QCP is approached. One of the main effects of the nemato-elastic coupling is to smooth the electronic non-equilibrium distribution function, making it approach the simple cosine angular dependence even when the impurity scattering is not too strong. We find that at temperatures lower than a temperature scale set by the nemato-elastic coupling, the resistivity shows the T 2 behavior characteristic of a Fermi liquid. This is in contrast to the T 4/3 low-temperature behavior expected for a lattice-free nematic quantum critical point. More importantly, we show that the effective resistivity exponent α eff (T ) in ρ(T ) − ρ0 ∼ T α eff (T ) displays a pronounced temperature dependence, implying that a nematic QCP cannot generally be characterized by a simple resistivity exponent. We discuss the implications of our results to the interpretation of experimental data, particularly in the nematic superconductor FeSe1−xSx. arXiv:1906.03205v3 [cond-mat.str-el]

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“…As such, strain-enhanced magnetic fluctuations provide a second route to suppress T nem , in addition to increasing quantum fluctuations, see Ref. [23]. The finding that D A1g D B2g , see Fig.…”

Section: Introductionmentioning

confidence: 86%

Strain tuning and anisotropic spin correlations in iron-based systems

2019

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Nematic order in the iron-based superconductors is closely tied to a lattice distortion and a structural transition from tetragonal to orthorhombic symmetry. External stress of the appropriate symmetry acts as a conjugate field of the nematic order parameter and can be utilized to detwin nematic domains but also smears an otherwise sharp nematic transition. On the other hand, applying stress in proper symmetry channels allows one to tune the nematic phase transition. Recent experiments analyzed the stress-induced changes of the nematic and magnetic phase transition temperature. Here we show that the observed trends can be understood in terms of spin-induced nematicity. The strain sensitivity is shown to be a fluctuation effect. The strong sensitivity to antisymmetric strain is a consequence of the anisotropic nature of the magnetic excitation spectrum. The formalism presented here can be naturally generalized to determine the strain-sensitivity of vestigial phases related to other magnetic states that have been observed in the iron-based systems, such as e.g. the spin-charge density wave and the spin-vortex crystals.Recently, Ikeda et al. [22] investigated the impact of strain on the nematic and magnetic phase transitions of arXiv:1904.05583v2 [cond-mat.str-el]

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Transverse fields to tune an Ising-nematic quantum phase transition

Cited by 39 publications

References 39 publications

Intertwined spin-orbital coupled orders in the iron-based superconductors

Intertwined spin-orbital coupled orders in the iron-based superconductors

Resistivity near a nematic quantum critical point: Impact of acoustic phonons

Strain tuning and anisotropic spin correlations in iron-based systems

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