Phase diagrams of Kitaev models for arbitrary magnetic field orientations

Yılmaz, Fırat; Kampf, Arno P.; Yip, Sungkit

doi:10.1103/physrevresearch.4.043024

Cited by 10 publications

(3 citation statements)

References 93 publications

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“…In this regime, we expect the mean-field approach to yield qualitatively correct results for the charge response of the Kitaev spin liquid phase. By contrast, the regime of strong magnetic fields should be identified with the partially polarized phase, whereas the regime of large |Γ| or |J| harbors magnetically ordered phases [33,42,46,51]. Here we do not explore the various phases of the extended Kitaev model, whose nature is not completely settled [34].…”

Section: Figure 1 Dispersion Relation Of Majorana Fermions Calculatedmentioning

confidence: 94%

“…If the constraint is implemented exactly, it suffices to impose it for a single value of γ. However, when treating the constraints (3) numerically through the corresponding Lagrange multipliers λ γ i [40,42], it is advantageous to enforce them in a symmetric manner for all three values of γ. We thereby rewrite the spin Hamiltonian as…”

Section: Mean-field Theory For the Extended Kitaev Modelmentioning

confidence: 99%

“…Since the additional interactions spoil the integrability of the pure Kitaev model, we compute spin correlations using a Majorana mean-field theory. This type of approximation has been applied to map out the ground state phase diagram and to compute response functions of the extended Kitaev model [35][36][37][38][39][40][41][42][43][44]. Here we generalize the mean-field approach to treat position-dependent order parameters in the case where translation symmetry is broken by the presence of vortices in the Z 2 flux configuration.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electric polarization near vortices in the extended Kitaev model

Egger,

Freitas,

Bauer

et al. 2023

Preprint

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We formulate a Majorana mean-field theory for the extended J-K-Gamma Kitaev model in a magnetic Zeeman field of arbitrary direction, and apply it for studying spatially inhomogeneous states harboring vortices. This mean-field theory is exact in the pure Kitaev limit and captures the essential physics throughout the Kitaev spin liquid phase. We determine the charge profile around vortices and the corresponding quadrupole tensor. The quadrupole-quadrupole interaction between distant vortices is shown to be either repulsive or attractive, depending on parameters. We predict that electrically biased scanning probe tips enable the creation of vortices at preselected positions. Our results open new perspectives for the electric manipulation of Ising anyons in Kitaev spin liquids.

show abstract

Section: Figure 1 Dispersion Relation Of Majorana Fermions Calculatedmentioning

confidence: 94%

Section: Mean-field Theory For the Extended Kitaev Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electric polarization near vortices in the extended Kitaev model

Egger,

Freitas,

Bauer

et al. 2023

Preprint

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Twice hidden string order and competing phases in the spin-1/2 Kitaev–Gamma ladder

Sørensen,

Kee

2024

npj Quantum Mater.

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Finding the Kitaev spin liquid in candidate materials involves understanding the entire phase diagram, including other allowed interactions. One of these interactions, called the Gamma (Γ) interaction, causes magnetic frustration and its interplay with the Kitaev (K) interaction is crucial to comprehend Kitaev materials. Due to the complexity of the combined KΓ model, quasi-one-dimensional models have been investigated. While several disordered phases are found in the 2-leg ladder, the nature of the phases are yet to be determined. Here we focus on the disordered phase near the antiferromagnetic Γ limit (denoted by AΓ phase) next to the ferromagnetic Kitaev phase. We report a distinct non-local string order parameter characterizing the AΓ phase, different from the string order parameter in the Kitaev phase. This string order parameter becomes evident only after two unitary transformation, referred to as a twice hidden string order parameter. The related entanglement spectrum, edge states, magnetic field responses, and the symmetry protecting the phase are presented, and its relevance to the two-dimensional Kitaev materials is discussed. Two newly identified disordered phases in the phase diagram of KΓ ladder is also reported.

show abstract

Electric polarization near vortices in the extended Kitaev model

Freitas,

Bauer,

Egger

et al. 2024

npj Quantum Mater.

View full text Add to dashboard Cite

We formulate a Majorana mean-field theory for the extended JKΓ Kitaev model in a magnetic Zeeman field of arbitrary direction, and apply it for studying spatially inhomogeneous states harboring vortices. This mean-field theory is exact in the pure Kitaev limit and captures the essential physics throughout the Kitaev spin liquid phase. We determine the charge profile around vortices and the corresponding quadrupole tensor. The quadrupole-quadrupole interaction between distant vortices is shown to be either repulsive or attractive, depending on parameters. We predict that electrically biased scanning probe tips enable the creation of vortices at preselected positions. Our results paves the way for the electric manipulation of Ising anyons in Kitaev spin liquids.

show abstract

Phase diagrams of Kitaev models for arbitrary magnetic field orientations

Cited by 10 publications

References 93 publications

Electric polarization near vortices in the extended Kitaev model

Electric polarization near vortices in the extended Kitaev model

Twice hidden string order and competing phases in the spin-1/2 Kitaev–Gamma ladder

Electric polarization near vortices in the extended Kitaev model

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