Odd-frequency pair density wave in the Kitaev-Kondo lattice model

Carvalho, Vanuildo S. de; Teixeira, Rafael M. P.; Freire, Hermann; Miranda, E.

doi:10.1103/physrevb.103.174512

Cited by 15 publications

(5 citation statements)

References 48 publications

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“…A configuration of the field at which the energy of the system is minimal, corresponds to an antiferromagnetic order of local moments, the lattice cell doubles .The spectrum of quasi-particle excitations has the Majorana type, it is particle-hole symmetric in the Kondo insulator state. It should be noted the works that consider the Kondo lattice, taking into account the interaction proposed by Kitaev 5 , 11 – 13 . These models make it possible to study the spin liquid with gapless spin excitations on the Majorana Fermi surface.…”

Section: Introductionmentioning

confidence: 99%

Electron liquid state in the spin-$$\frac{1}{2}$$ anisotropic Kondo lattice

Karnaukhov

2022

Sci Rep

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In the framework of the mean field approach, we provide analytical and numerical solution of the spin-$$\frac{1}{2}$$ 1 2 anisotropic Kondo lattice for arbitrary dimension at half filling. Nontrivial solution for the amplitude of the field opens a gap in the fermion spectrum of an electron liquid in which local moments on the lattice sites are realized. The ground state in the insulator state is determined by a static $${\mathbb {Z}}_2$$ Z 2 field of local moments, which forms the lattice with a double cell, conduction electrons move in this field. Due to hybridization between electron states a large Fermi surface is formed in the Kondo lattice. A gap in the quasi-particle spectrum is calculated depending on the magnitudes of exchange integrals for the simple lattices with different dimension. The proposed approach is also valid for describing the Kondo lattice with weak anisotropy of the exchange interaction, which makes it possible to study the behavior of the spin-$$\frac{1}{2}$$ 1 2 Kondo lattice with an isotropic exchange interaction.

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Section: Introductionmentioning

confidence: 99%

Electron liquid state in the spin-$$\frac{1}{2}$$ anisotropic Kondo lattice

Karnaukhov

2022

Sci Rep

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“…The FL * was applied to frustrated Kondo lattices [11]. Also, some considerations within the Kitaev-Kondo lattice model were performed, including realization of FL * state and unconventional superconducting phases [20,21].…”

Section: Introductionmentioning

confidence: 99%

Two-band model and RVB-type states: application to Kondo lattices, pyrochlores and Mn-based systems

Irkhin,

Skryabin

2022

Preprint

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An exotic fractionalized Fermi-liquid FL * theory of metallic systems, which combines resonant-valence-bond (RVB) state and the band of current carriers, is treated. An application of this theory to spin-liquid, antiferromagnetic and nearly antiferromagnetic systems is proposed with the use of various bosonic and fermionic representations, a comparison with perturbation theory in the s − d( f ) exchange model being performed. The topological aspects including formation of the small Fermi surface are treated. In the case of narrow bands (strong correlations), the ground state is considered as a direct product of RVB and dopon or Weng's fermion states. Examples of Kondo lattices, doped pyrochlores, and metallic β-Mn, YMn 2 , Y 1−x Sc x Mn 2 systems are discussed, analogies with copper-oxide systems being treated.

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“…Soon, some interesting phenomena based on the modified Haldane model have been theoretically investigated. For example, the topological phase transitions under uniaxial strain in graphene nanoribbon [23], unipolar-bipolar filters in P/N graphene junction [24] and circular dichroism and valley polarization in honeycomb lattice [25], etc [16,26,27]. In transport properties, the AES not only has extraordinary transport properties but also the robustness against disorder [16] in addition to the ordinary edge states discussed above.…”

Section: Introductionmentioning

confidence: 99%

Manipulation of antichiral edge state based on modified Haldane model

Lü

Yang²,

Chen³

2022

New J. Phys.

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Antichiral edge state (AES) was theoretical proposed by Colomés and Franz (Physical Review Letters, 2018, 120(8): 086603), which is recently realized in experiment. Under increasing the intensity of the off-resonant circularly polarized (ORCP) light, the AES can be induced as anisotropic, flat types and then anisotropic chiral edge state in zigzag honeycomb nanoribbon. More interestingly, the spin-polarized AESs can be further induced by the antiferromagnetic exchange field and electric field instead of the OPCP light. In particular, according to the propagating direction mismatch, we find the spin-degenerate (spin-polarized) dual propagating channel of the AES can be transformed into the spin-degenerate (spin-polarized) single propagating channel along the upper or lower boundary in topological heterojunction with different edge states. In the switch of the propagating channel, the local bond currents along the outer boundaries are reflected back in the lead and device with bulk states for spin-degenerate and spin polarized cases, respectively. In addition, these propagating channels are also robust against weak normal dephasing effect, which paves diverse platforms to design the topological devices in the future.

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Odd-frequency pair density wave in the Kitaev-Kondo lattice model

Cited by 15 publications

References 48 publications

Electron liquid state in the spin-$$\frac{1}{2}$$ anisotropic Kondo lattice

Electron liquid state in the spin-$$\frac{1}{2}$$ anisotropic Kondo lattice

Two-band model and RVB-type states: application to Kondo lattices, pyrochlores and Mn-based systems

Manipulation of antichiral edge state based on modified Haldane model

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