Magnetism and superconductivity in underscreened Kondo chains

Andrei, Natan; Orignac, Edmond

doi:10.1103/physrevb.62.r763

Cited by 6 publications

(11 citation statements)

References 28 publications

(27 reference statements)

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“…Nominally, in this material the nickel valence is 3+, i.e. 3d 7 , which would suggest a model with a single electron in the cubic e g doublet, a two-fold orbital degeneracy. However, another interpretation is that the nickel valence is actually 2+, with an additional hole per nickel spread out amongst the oxygen ions, 2 analogous to the Zhang-Rice singlet in cuprates.…”

Section: Introductionmentioning

confidence: 84%

“…Because each nickel thereby has an S = 1 spin and is accompanied by only a single oxygen hole with S = 1/2, this takes the form of an underscreened Kondo lattice model. 7,8 To enable the DMRG analysis, we take this model to be one dimensional. Though this is obviously a drastic approximation, our model retains the underscreened Kondo physics, and has the symmetries to allow charge ordering of the same type observed in the nickelate materials.…”

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: 84%

Section: Introductionmentioning

confidence: 99%

Ordering and criticality in an underscreened Kondo chain

Jiang

Rau

2013

Phys. Rev. B

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“…The resulting UV-IR transmutation can be analysed from the conservation of the su(2) spin and one has the following correspondence [21,54]:…”

Section: The Uv-ir Transmutation Of the Fieldsmentioning

confidence: 99%

Criticality in self-dual sine-Gordon models

2002

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We discuss the nature of criticality in the β 2 = 2πN self-dual extention of the sine-Gordon model. This field theory is related to the two-dimensional classical XY model with a N-fold degenerate symmetry-breaking field. We briefly overview the already studied cases N = 2, 4and analyze in detail the case N = 3 where a single phase transition in the three-state Potts universality class is expected to occur. The Z 3 infrared critical properties of the β 2 = 6π self-dual sine-Gordon model are derived using two non-perturbative approaches. On one hand, we map the model onto an integrable deformation of the Z 4 parafermion theory. The latter is known to flow to a massless Z 3 infrared fixed point. Another route is based on the connection with a chirally asymmetric, su(2) 4 ⊗ su(2) 1 Wess-Zumino-Novikov-Witten model with anisotropic current-current interaction, where we explore the existence of a decoupling (Toulouse) point.

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“…Finally, one should note that the scaling dimensions of the physical observables of the two-channel KHL obtained by the Toulouse point solution coincide with those of the recent CFT approach. 15 In this respect, we stress that, in contrast with the latter approach, the Toulouse point solution enables us to take into account the inherent velocities anisotropy in the problem. In summary, we have shown that the two generalizations of the one-dimensional KHL considered in this paper exhibit a nontrivial non-Fermi-liquid low-temperature phase belonging to the class of chirally stabilized fluids with strong enhanced staggered composite pairing correlations.…”

Section: ͑9͒mentioning

confidence: 99%

Composite pairings in chirally stabilized critical fluids

Azaria

Lecheminant²

2000

Phys. Rev. B

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We study a one-dimensional electron gas in a special antiferromagnetic environment made by two spin-1/2 Heisenberg chains and a one-dimensional two-channel Kondo-Heisenberg lattice away from half-filling. These models flow to an intermediate fixed point which belongs to the universality class of chirally stabilized liquids. Using a Toulouse point approach, the universal properties of the models are determined as well as the identification of the leading instabilities. It is shown that these models exhibit a non-Fermi-liquid behavior with strong enhanced composite pairing correlations.

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Magnetism and superconductivity in underscreened Kondo chains

Cited by 6 publications

References 28 publications

Ordering and criticality in an underscreened Kondo chain

Ordering and criticality in an underscreened Kondo chain

Criticality in self-dual sine-Gordon models

Composite pairings in chirally stabilized critical fluids

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