Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields

Schellenberger, Andreas; Hörmann, Max; Schmidt, K. P.

doi:10.1103/physrevb.106.104403

Cited by 3 publications

(3 citation statements)

References 79 publications

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“…The features in the intermediate phase could not be properly interpreted whether they arose from fractionalized excitations or from magnon broadening through magnon-magnon interactions. Approaching from the high field end, a more recent work [62] has examined the one and two quasiparticle (dressed magnon) features in the dynamical structure factor, supporting the picture that from the high field side, the broadening seen at lower fields is on account of magnon interactions. Clearly, the intermediate phase for (111) field orientation is not fully understood.…”

Section: Zeeman Effects In the Kitaev Limitmentioning

confidence: 78%

Field tuning Kitaev systems for spin fractionalization and topological order

Das,

Kundu,

Kumar

et al. 2024

J. Phys.: Condens. Matter

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The honeycomb Kitaev model describes a Z2 spin liquid with topological order and fractionalized excitations consisting of gapped π-fluxes and free Majorana fermions. Competing interactions, even when not very strong, are known to destabilize the Kitaev spin liquid. Magnetic fields are a convenient parameter for tuning between different phases of the Kitaev systems, and have even been investigated for potentially counteracting the effects of other destabilizing interactions leading to a revival of the topological phase. Here we review the progress in understanding the effects of magnetic fields on some of the perturbed Kitaev systems, particularly on fractionalization and topological order.

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Section: Zeeman Effects In the Kitaev Limitmentioning

confidence: 78%

Field tuning Kitaev systems for spin fractionalization and topological order

Das,

Kundu,

Kumar

et al. 2024

J. Phys.: Condens. Matter

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show abstract

“…High-field expansions of models where the ground state is coupled with the first excited states can also be computationally very demanding. An example is the Kitaev model in a field [64,65]. The proposed transformation could help to reach higher orders for that system.…”

Section: Non-perturbative Results For Single Spin Flip and Bound Statesmentioning

confidence: 99%

Projective cluster-additive transformation for quantum lattice models

Hörmann¹,

Schmidt²

2023

Preprint

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We construct a projection-based cluster-additive transformation that block-diagonalizes wide classes of lattice Hamiltonians H = H 0 + V . Its cluster additivity is an essential ingredient to set up perturbative or non-perturbative linked-cluster expansions for degenerate excitation subspaces of H 0 . Our transformation generalizes the minimal transformation known amongst others under the names Takahashi's transformation, Schrieffer-Wolff transformation, des Cloiseaux effective Hamiltonian, canonical van Vleck effective Hamiltonian or two-block orthogonalization method. The effective cluster-additive Hamiltonian and the transformation for a given subspace of H, that is adiabatically connected to the eigenspace of H 0 with eigenvalue e n 0 , solely depends on the eigenspaces of H connected to e m 0 with e m 0 ≤ e n 0 . In contrast, other cluster-additive transformations like the multi-block orthognalization method or perturbative continuous unitary transformations need a larger basis. This can be exploited to implement the transformation efficiently both perturbatively and non-perturbatively. As a benchmark, we perform perturbative and non-perturbative linked-cluster expansions in the low-field ordered phase of the transverse-field Ising model on the square lattice for single spin-flips and two spin-flip bound-states.

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Section: Discussionmentioning

confidence: 99%

Projective cluster-additive transformation for quantum lattice models

Hörmann,

Schmidt

2023

SciPost Phys.

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We construct a projection-based cluster-additive transformation that block-diagonalizes wide classes of lattice Hamiltonians \mathcal{H}=\mathcal{H}_0 +Vℋ=ℋ0+V. Its cluster additivity is an essential ingredient to set up perturbative or non-perturbative linked-cluster expansions for degenerate excitation subspaces of \mathcal{H}_0ℋ0. Our transformation generalizes the minimal transformation known amongst others under the names Takahashi’s transformation, Schrieffer-Wolff transformation, des Cloiseaux effective Hamiltonian, canonical van Vleck effective Hamiltonian or two-block orthogonalization method. The effective cluster-additive Hamiltonian and the transformation for a given subspace of \mathcal{H}ℋ, that is adiabatically connected to the eigenspace of \mathcal{H}_0ℋ0 with eigenvalue e_0^ne0n, solely depends on the eigenspaces of \mathcal{H}ℋ connected to e_0^me0m with e_0^m\leq e_0^ne0m≤e0n. In contrast, other cluster-additive transformations like the multi-block orthogonalization method or perturbative continuous unitary transformations need a larger basis. This can be exploited to implement the transformation efficiently both perturbatively and non-perturbatively. As a benchmark, we perform perturbative and non-perturbative linked-cluster expansions in the low-field ordered phase of the transverse-field Ising model on the square lattice for single spin-flips and two spin-flip bound-states.

show abstract

Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields

Cited by 3 publications

References 79 publications

Field tuning Kitaev systems for spin fractionalization and topological order

Field tuning Kitaev systems for spin fractionalization and topological order

Projective cluster-additive transformation for quantum lattice models

Projective cluster-additive transformation for quantum lattice models

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