Field-induced chiral soliton phase in the Kitaev spin chain

Sørensen, Erik S.; Gordon, Jacob; Riddell, Jonathon; Wang, Tianyi

doi:10.1103/physrevresearch.5.l012027

Cited by 8 publications

(15 citation statements)

References 37 publications

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“…While geometrically restricted, interesting chiral phases near AFM Kitaev region in a perpendicular field have been identified [38] in S= 1 2 ladder models. An extended soliton phase induced by the field in the S= 1 2 Kitaev spin chain was also recently discovered [37].…”

Section: Introductionmentioning

confidence: 84%

“…[39] and the S=1 model in zero field has been the subject of several studies [40][41][42][43], however, to our knowledge the phase diagram in the presence of a magnetic field has not previously been investigated, likely since it has been assumed that the model would transition to the polarized phase without any intervening non-trivial phases as has been shown to be the case for the S= 1 2 chain in a transverse magnetic field [44]. However, it turns out that if more general field directions are considered a highly nontrivial soliton phase can be identified in the S= 1 2 chain [37], appearing along the field directions φ xy = π 4 +n π 2 . As we show in section II A and IV A, for integer S, the soliton phase appears as an unusual reentrant island arising out of the sea of the polarized state (PS).…”

Section: Model Phase Diagram and Phenomenologymentioning

confidence: 99%

“…Furthermore, the existence of such a soliton phase appears to rely on the presence of a gap for periodic boundary conditions, while open boundary conditions should give rise to numerous in-gap states. We mainly focus on the integer spin case since the low field physics of the half integer spin chains is subtly different [37] but we expect many of our results, in particular the existence of the soliton phase, to be valid for any S.…”

Section: Model Phase Diagram and Phenomenologymentioning

confidence: 99%

“…The dashed red line indicate the classical value for the transition to the polarized state, and the dotted red line are results for S= 1 2 from Ref. [37]. The red cross indicates h xy =S √ 2 with h x /S = h y /S = 1. not completely understood.…”

Section: Introductionmentioning

confidence: 96%

“…A variational picture based on previous results for the S= 1 2 model in Ref. [37] is then developed in In section VI, and penultimately we discuss in section VII how signatures of the solitons can be detected in the specific heat, in particular for open boundary conditions. Finally, in section VIII we present a discussion of our results and remaining open problems.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Islands of Chiral Solitons in Integer Spin Kitaev Chains

Sørensen¹,

Riddell²

2023

Preprint

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An intriguing chiral soliton phase has recently been identified in the S= 1 2 Kitaev spin chain. Here we show that for S=1,2,3,4,5 an analogous phase can be identified, but contrary to the S= 1 2 case the chiral soliton phases appear as islands within the sea of the polarized phase. In fact, a small field applied in a general direction will adiabatically connect the integer spin Kitaev chain to the polarized phase. Only at sizable intermediate fields along symmetry directions does the soliton phase appear centered around the special point h x =h y =S where two exact product ground-states can be identified. The large S limit can be understood from a semi-classical analysis, and variational calculations provide a detailed picture of the S=1 soliton phase. Under open boundary conditions, the chain has a single soliton in the ground-state which can be excited, leading to a proliferation of in-gap states. In contrast, even length periodic chains exhibit a gap above a twice degenerate ground-state. The presence of solitons leaves a distinct imprint on the low temperature specific heat.

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Section: Introductionmentioning

confidence: 84%

Section: Model Phase Diagram and Phenomenologymentioning

confidence: 99%

Section: Model Phase Diagram and Phenomenologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Islands of Chiral Solitons in Integer Spin Kitaev Chains

Sørensen¹,

Riddell²

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.

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Beyond Kitaev physics in strong spin-orbit coupled magnets

Rousochatzakis,

Perkins,

Luo

et al. 2024

Rep. Prog. Phys.

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We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To this end, we present a comprehensive overview of the key exchange interactions in candidate materials with a specific focus on systems featuring effective $J_{\rm eff}\!=\!1/2$ magnetic moments. This includes, but not limited to, $5d^5$ iridates, $4d^5$ ruthenates and $3d^7$ cobaltates. Our exploration covers the microscopic origins of these interactions, along with a systematic attempt to map out the most intriguing correlated regimes of the multi-dimensional parameter space. Our approach is guided by robust symmetry and duality transformations as well as insights from a wide spectrum of analytical and numerical studies. We also survey higher spin Kitaev models and recent exciting results on quasi-one-dimensional models and discuss their relevance to higher-dimensional models. Finally, we highlight some of the key questions in the field as well as future directions.

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Field-induced chiral soliton phase in the Kitaev spin chain

Cited by 8 publications

References 37 publications

Islands of Chiral Solitons in Integer Spin Kitaev Chains

Islands of Chiral Solitons in Integer Spin Kitaev Chains

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

Beyond Kitaev physics in strong spin-orbit coupled magnets

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