Site-Selective Mott Transition in Rare-Earth-Element Nickelates

Park, Hyowon; Millis, Andrew J.; Marianetti, Chris A.

doi:10.1103/physrevlett.109.156402

Cited by 300 publications

(345 citation statements)

References 29 publications

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“…Though such a compromise exists, it seems to be unpopular, and strong opinions in favor of the ligand-hole picture are often voiced. 4 Going further, Sawatzky has proposed a picture for the observed "charge" ordering in terms of local Kondo screening of half the Ni 2+ spins 5 . A recent DMFT paper seems to suggest a similar scenario.…”

Section: Introductionmentioning

confidence: 99%

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Ordering and criticality in an underscreened Kondo chain

Jiang

Rau

2013

Phys. Rev. B

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Motivated by the nickel valence controversy in the perovskite nickelate RNiO3, we consider a one-dimensional underscreened Kondo chain consisting of alternating spin-1 ("nickel") and electron ("oxygen") sites, which in addition to the usual electron hopping and spin-spin interaction between the S = 1 spin and the electron also contains a spin mediated electron hopping term. Using the density-matrix renormalization group (DMRG), we obtained the zero temperature phase diagram of the model, as well as various correlation functions in each phase. Importantly, for certain range of parameters the model exhibits a quasi-long-range spiral (QS) order. To understand the DMRG results, we construct a mean-field theory based on a Schwinger fermion decomposition of the S = 1 spins, from which we argue that the QS phase corresponds to a phase in proximity to the spin Bose metal state proposed by Sheng, Motrunich, and Fisher [Phys. Rev. B, 79, 205112 (2009)]. Notably, we find no evidence for a phase with the symmetry of "nickel"-centered charge order, which has been argued to arise due to site-selective Kondo screening of half the S = 1 spins, and suggest that order of this type occurs only due to an additional energy gain from spontaneous lattice distortions, not present in this model.

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Section: Introductionmentioning

confidence: 99%

“…A recent DMFT paper seems to suggest a similar scenario. 4 A physical understanding of how such Kondo screening might come about, and whether it can account for the observed charge/spin order, is, however, still lacking.…”

Section: Introductionmentioning

confidence: 99%

Ordering and criticality in an underscreened Kondo chain

Jiang

Rau

2013

Phys. Rev. B

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“…13 This symmetry lowering has been associated with the occurrence of a breathing distortion of the oxygen octahedra, establishing two inequivalent nickel sites. [13][14][15][16] Finally, RE-NiO 3 (RNOs) undergo a paramagnetic (PM) to antiferromagnetic (AFM) transition at T = T Néel . The AFM structure gives rise to a magnetic diffraction peak with the Bragg vector q Bragg = ( 1 4 1 4 1 4 ), in pseudo-cubic (pc) notation.…”

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confidence: 99%

Electronic transitions in strained SmNiO₃ thin films

et al. 2014

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“…(9). By the comparison demonstrated in Figure 5, we emphasize that the two-particle approach based on vertex calculations in local DMFT is a convenient starting point to study the dynamics of spin fluctuations in correlated materials, given the availability of numerical packages 23,45 combining local DMFT and first principles methods, and their success in predicting the electronic structures of various correlated materials [46][47][48][49] .…”

Section: -9mentioning

confidence: 99%

Quantum critical point revisited by dynamical mean-field theory

Kotliar

Tsvelik

2017

Phys. Rev. B

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Dynamical mean field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. The QCP is characterized by a universal scaling form of the self energy and a spin density wave instability at an incommensurate wave vector. The scaling form unifies the low energy kink and the high energy waterfall feature in the spectral function, while the spin dynamics includes both the critical incommensurate and high energy antiferromagnetic paramagnons. We use the frequency dependent four-point correlation function of spin operators to calculate the momentum dependent correction to the electron self energy. By comparing with the calculations based on Spin-Fermion model, our results indicate the frequency dependence of the the quasiparitcle-paramagnon vertices is an important factor to capture the momentum dependence in quasiparticle scattering.Introduction. The interplay between quasiparticles and bosonic collective modes, in particular in the proximity of a quantum critical point (QCP) 1,2 , is believed to be a driving force behind the rich phase diagram of many correlated electronic systems 3-5 . This paper explores the connection between the quasiparticles and collective modes in a doped antiferromagnet within the framework of local dynamical mean field theory (DMFT)6 . It is known that local DMFT is not fully capable of addressing the effects of non-local correlation, which are particularly important for the critical phenomena in low-dimensional system. In this paper, however, we aim to investigate to what extent local DMFT can depict the spin fluctuations in a strongly correlated system and the possibility to construct the non-local effects from local DMFT. In fact, the formalism for two-particle response functions, although proposed in the early stage of DMFT 6 , has not been well explored to study the dynamical properties of two-particle fluctuations. Recently, an approach based on this formalism and random phase approximation (RPA) has gained success in describing the magnetic excitations in iron pnictides [7][8][9] . In this work, we make a step beyond the RPA approach by taking full account of the frequency dependence of the vertex functions, and compute the momentum dependence of excitation energy and damping rate of spin fluctuations, in hope of providing insight and guidance in interpreting the spectra of correlated materials from neutron and resonant inelastic X-ray scattering measurements (RIXS) [10][11][12][13][14][15][16] . With the two-dimensional Hubbard model as a working example, we use the vertex functions to calculate the non-local correction to the single electron self energy in the leading order of quasiparticle-paramagnon interaction. We show that the leading order correction reproduces the momentum-dependent feature that emerges from self-consistent calculation in cluster extensions of DMFT [17][18][19] . We also compare it with the non-local correction obtained by the phenomenological approach based on the Spin-Fermion (SF) model 20,21 where the vertice...

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Site-Selective Mott Transition in Rare-Earth-Element Nickelates

Cited by 300 publications

References 29 publications

Ordering and criticality in an underscreened Kondo chain

Ordering and criticality in an underscreened Kondo chain

Electronic transitions in strained SmNiO₃ thin films

Quantum critical point revisited by dynamical mean-field theory

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Site-Selective Mott Transition in Rare-Earth-Element Nickelates

Cited by 300 publications

References 29 publications

Ordering and criticality in an underscreened Kondo chain

Ordering and criticality in an underscreened Kondo chain

Electronic transitions in strained SmNiO3 thin films

Quantum critical point revisited by dynamical mean-field theory

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Product

Resources

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Electronic transitions in strained SmNiO₃ thin films