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Flint, Rebecca; Senthil, T.

doi:10.1103/physrevb.87.125147

Cited by 38 publications

(34 citation statements)

References 47 publications

(61 reference statements)

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“…Aligned with this original motivation, many interesting phases and phenomena, including topological Mott insulator, axion insulator, Weyl semimetal, Luttinger-Abrikosov-Beneslavskii non-Fermi liquid, et al, have been proposed [11][12][13][14][15][16][17][18][19][20][21] . Despite the fruitful achievements since the original motivation [22][23][24][25][26][27][28][29] , the role of the rare-earth local moments in this system has not been extensively studied except few works 16,17,30 . Recent experiments 31,32 in Nd 2 Ir 2 O 7 and Pr 2 Ir 2 O 7 do suggest the importance of the local moments and the coupling between the local moments and the Ir conduction electrons.…”

Section: Introductionmentioning

confidence: 99%

Pr2Ir2O7 : When Luttinger Semimetal Meets Melko-Hertog-Gingras Spin Ice State

Yao

Chen

2018

Phys. Rev. X

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We study the band structure topology and engineering from the interplay between local moments and itinerant electrons in the context of pyrochlore iridates. For the metallic iridate Pr2Ir2O7, the Ir 5d conduction electrons interact with the Pr 4f local moments via the f -d exchange. While the Ir electrons form a Luttinger semimetal, the Pr moments can be tuned into an ordered spin ice with a finite ordering wavevector, dubbed "Melko-Hertog-Gingras" state, by varying Ir and O contents. We point out that the ordered spin ice of the Pr local moments generates an internal magnetic field that reconstructs the band structure of the Luttinger semimetal. Besides the broad existence of Weyl nodes, we predict that the magnetic translation of the "Melko-Hertog-Gingras" state for the Pr moments protects the Dirac band touching at certain time reversal invariant momenta for the Ir conduction electrons. We propose the magnetic fields to control the Pr magnetic structure and thereby indirectly influence the topological and other properties of the Ir electrons. Our prediction may be immediately tested in the ordered Pr2Ir2O7 samples. We expect our work to stimulate a detailed examination of the band structure, magneto-transport, and other properties of Pr2Ir2O7. arXiv:1712.06534v2 [cond-mat.str-el]

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Section: Introductionmentioning

confidence: 99%

Pr2Ir2O7 : When Luttinger Semimetal Meets Melko-Hertog-Gingras Spin Ice State

Yao

Chen

2018

Phys. Rev. X

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“…In this context, it is interesting to know how 3D feature and non-doubly degenerate Dirac dispersion relation emerging from the band structure, may affect the indirect exchange interaction between magnetic impurities in the WSM. In previous works, most of the studies have been focused on the ordering of host magnetic components [64][65][66], Kondo effect [67,68] of dilute magnetic impurities and the influence of surface [69] or bulk [70] states on density responses due to non-magnetic impurities in the WSM phase. However, the RKKY interaction between magnetic impurities in the WSM has remained unexplored so far.…”

Section: Introductionmentioning

confidence: 99%

Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals

Hosseini

Askari

2015

Phys. Rev. B

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We theoretically demonstrate the Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities that is mediated by the Weyl fermions embedded inside a three-dimensional Weyl semimetal (WSM). The WSM is characterized by a pair of Weyl points separated in the momentum space. Using the Green's function method and a two-band model, we show that four terms contribute to the magnetic impurity interaction in the WSM phase: the Heisenberg, DzyaloshinskyMoriya, spin-frustrated and Ising terms. Except the last term which is vanishingly small in the plane perpendicular to the line connecting two Weyl points, all the other interaction terms are finite. Furthermore, the magnetic spins of the Dzyaloshinsky-Moriya and spin-frustrated terms lie in the plane perpendicular to the line connecting two Weyl points, but in this plane, the magnetic spins of the Ising term have no components. For each contribution, an analytical expression is obtained, falling off with a spatial dependence as R −5 at Weyl points and showing beating behavior that depends on the direction between two magnetic impurities.

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“…In fact, unusual transport phenomena have been observed for this compound, such as resistivity minimum 9 and nonmonotonic¯eld dependence of Hall conductivity, 10 and have attracted considerable attention. [19][20][21] Indeed, the viewpoint of itinerant electrons scattered by spin ice, gives a crucial insight to these transport phenomena. 22,23 In this work, we will focus on the magnetic response of itinerant spin ice.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Response of Itinerant Spin Ice

Udagawa

2015

SPIN

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We have studied the magnetic response of itinerant spin ice, by applying the cluster dynamical mean¯eld theory (CDMFT) to the Ising Kondo lattice model on a pyrochlore lattice. As a result, we found a characteristic interplay between magnetization curve and spin ice correlation developed at low temperatures. The magnetization develops a kink-like structure at the 2=3 of its saturation value, reminiscent of kagome ice plateau. Accompanied with the magnetization process, the monopole density shows nonmonotonic magnetic¯eld dependence with a clear minimum, re°ecting a subtle energetics of spin con¯gurations. The spin ice correlation also a®ects the transport properties of the system, and brings about negative magnetoresistivity with its slope strongly dependent on the magnitude of spin ice correlation. We discuss these behaviors in comparison with the magnetic response observed in Pr 2 Ir 2 O 7 .

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Chiral RKKY interaction in Pr2Ir2O7

Cited by 38 publications

References 47 publications

Pr2Ir2O7 : When Luttinger Semimetal Meets Melko-Hertog-Gingras Spin Ice State

Pr2Ir2O7 : When Luttinger Semimetal Meets Melko-Hertog-Gingras Spin Ice State

Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals

Magnetic Response of Itinerant Spin Ice

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