Mott Insulator in Two-Channel Kondo Lattice

Hoshino, Shintaro; Otsuki, Junya; Kuramoto, Yoshio

doi:10.1088/1742-6596/391/1/012155

Cited by 5 publications

(5 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The uniform diagonal composite (ferrohastatic) order was found to be stable near half-filling and also characterized by a particle-hole antisymmetric conduction electron magnetic moment, however it was hidden by more stable antiferromagnetic order for the chosen parameters. A staggered diagonal composite (antiferrohastatic) order was found to be stable near quarter-filling 95 . These infinite dimensional results are consistent with our two and three dimensional phase diagrams, and are promising for the relevance of these types of novel Kondo orders in more realistic models.…”

Section: B Other Results On Channel-symmetry Breaking Heavy Fermi Liq...mentioning

confidence: 99%

Cubic hastatic order in the two-channel Kondo-Heisenberg model

2018

View full text Add to dashboard Cite

Materials with non-Kramers doublet ground states naturally manifest the two-channel Kondo effect, as the valence fluctuations are from a non-Kramers doublet ground state to an excited Kramers doublet. Here, the development of a heavy Fermi liquid requires a channel symmetry breaking spinorial hybridization that breaks both single and double time-reversal symmetry, and is known as hastatic order. Motivated by cubic Pr-based materials with Γ3 non-Kramers ground state doublets, this paper provides a survey of cubic hastatic order using the simple two-channel Kondo-Heisenberg model. Hastatic order necessarily breaks time-reversal symmetry, but the spatial arrangement of the hybridization spinor can be either uniform (ferrohastatic) or break additional lattice symmetries (antiferrohastatic). The experimental signatures of both orders are presented in detail, and include tiny conduction electron magnetic moments. Interestingly, there can be several distinct antiferrohastatic orders with the same moment pattern that break different lattice symmetries, revealing a potential experimental route to detect the spinorial nature of the hybridization. We employ an SU(N) fermionic mean-field treatment on square and simple cubic lattices, and examine how the nature and stability of hastatic order varies as we vary the Heisenberg coupling, conduction electron density, band degeneracies, and apply both channel and spin symmetry breaking fields. We find that both ferrohastatic and several types of antiferrohastatic orders are stabilized in different regions of the mean-field phase diagram, and evolve differently in strain and magnetic fields.

show abstract

Section: B Other Results On Channel-symmetry Breaking Heavy Fermi Liq...mentioning

confidence: 99%

Cubic hastatic order in the two-channel Kondo-Heisenberg model

2018

View full text Add to dashboard Cite

show abstract

“…[33] x = 0.05 [31] x = 0.1 [7] Ce 1-x La x Ru 2 Si 2 Fig. 13 Enhancement of the A coefficient of the resistivity under pressure compared to the enhancement under magnetic field on a normalized field scale for CeRh2Si2 [12].…”

Section: H (T)mentioning

confidence: 99%

“…6) in sharp contrast with a 4f localized treatment where the Fermi surface should look like that of LaRu 2 Si 2 [30]. Experiment and theory [31,32] support an itinerant picture of the 4f electron whatever is the ground state (AF, PM or PPM). Of course, at the magnetic ordering, a Fermi surface reconstruction might be governed by the new AF Brillouin zone.…”

mentioning

confidence: 91%

Convergence of the Enhancement of the Effective Mass Under Pressure and Magnetic Field in Heavy-Fermion Compounds: CeRu2Si2, CeRh2Si2, and CeIn3

Flouquet¹,

Aoki²,

Knafo³

et al. 2010

J Low Temp Phys

View full text Add to dashboard Cite

Emphasis is given on the observation of a convergence to a critical value of the effective mass of a heavy fermion compound by tuning it through a quantum instability either by applying pressure or magnetic field from an antiferromagnetic (AF) to a paramagnetic (PM) ground state. Macroscopic and microscopic results are discussed and the main message is to rush to the discovery of an ideal material whose Fermi surface could be fully observed on both sides of each quantum phase transition.

show abstract

“…The impurity version is quantum critical [17][18][19], and it is unclear exactly how the second channel changes the physics in the lattice, which now has a rich interplay of spin and channel degrees of freedom. The model can be solved in two different large-N limits, which lead to either composite pair superconductivity [20][21][22], in the SP (N ) large-N limit or a channel symmetry breaking heavy Fermi liquid known as hastatic order, in the SU (N ) large-N limit [23][24][25][26][27][28][29]. The physical, N = 2 limit has been studied numerically in both 1D [30,31] and infinite dimensions [22,[24][25][26][32][33][34], but many questions remain, including the general phase diagram, validity of the large-N approximations, Fermi surface structures and any non-Fermi liquid properties.…”

mentioning

confidence: 99%

“…For N = 2 and exactly n c = 1/2, these two order parameters are components of a larger SO(5) composite order parameter. Both have been found in the infinite dimensional limit away from half-filling [22,[24][25][26], and both can form either uniform or staggered orders.…”

mentioning

confidence: 99%

Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice

Milan¹,

Flint²

2022

Preprint

View full text Add to dashboard Cite

The two-channel Kondo lattice likely hosts a rich array of phases, including hastatic order, a channel-symmetry breaking heavy Fermi liquid. We revisit its one-dimensional phase diagram using density matrix renormalization group. In contrast to previous work, we find algebraic hastatic orders generically for strong coupling. These are heavy Tomonaga-Luttinger liquids with nonanalyticities at Fermi wave-vectors captured by hastatic density waves. Intriguingly, we find a recently predicted additional order parameter, not present at large-N , arising from RKKY mediated interference between hastatic spinors, and indications of residual repulsive interactions at strong coupling.

show abstract

Mott Insulator in Two-Channel Kondo Lattice

Cited by 5 publications

References 18 publications

Cubic hastatic order in the two-channel Kondo-Heisenberg model

Cubic hastatic order in the two-channel Kondo-Heisenberg model

Convergence of the Enhancement of the Effective Mass Under Pressure and Magnetic Field in Heavy-Fermion Compounds: CeRu2Si2, CeRh2Si2, and CeIn3

Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice

Contact Info

Product

Resources

About