Symmetry analysis of bond-alternating Kitaev spin chains and ladders

Wang, Yang; Nocera, Alberto; Herringer, Paul; Raussendorf, Robert; Affleck, Ian

doi:10.1103/physrevb.105.094432

Cited by 8 publications

(4 citation statements)

References 54 publications

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“…It is worth to mention that the group structure of G z satisfies G z /<T 6a > O h where O h is the full octahedral group, which can be proved in a same way as what is done for G z in Ref. 35.…”

Section: A Nonsymmorphic Symmetry Groupsupporting

confidence: 52%

“…We note that G z is very similar to the symmetry group G d of the dimerized Kitaev-Gamma chain discussed in Ref. 35. The symmetry operations of G z and G d overlap except the inversion symmetry: The inversion center for the inversion operation in G z is a site, whereas it is located at the middle point of the bond for G d .…”

Section: A Nonsymmorphic Symmetry Groupmentioning

confidence: 52%

“…have attracted intensive research attentions in the past decade . Motivated by the theoretical difficulties in strongly correlated systems in 2D, there has been a surge of research interests in studying 1D generalized Kitaev spin models [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] , which can be constructed by selecting one or several rows out of the honeycomb lattice. The hope is that such 1D studies can help understand the 2D Kitaev physics, and indeed, it has been shown that the 2D zigzag order in the Kitaev-Heisenberg-Gamma model can be obtained by weakly coupling an infinite number of 1D chains 36 .…”

Section: Introductionmentioning

confidence: 99%

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Emergent SU(2)$_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction

Yang¹,

Nocera²,

Chen³

et al. 2022

Preprint

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We study the one-dimensional spin-1/2 Kitaev-Gamma model with a bond-dependent Dzyaloshinskii-Moriya (DM) interaction, which can be induced by an electric field applied in the third direction where the first and second directions refer to the two bond directions in the model. By a combination of field theory and symmetry analysis, an extended gapless phase with an emergent SU(2)1 conformal symmetry is found in the phase diagram of the spin-1/2 Kitaev-Gamma-DM chain. The analytic predictions are in good agreements with numerical results obtained from density matrix renormalization group simulations.

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Section: A Nonsymmorphic Symmetry Groupsupporting

confidence: 52%

Section: A Nonsymmorphic Symmetry Groupmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

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Emergent SU(2)$_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction

Yang¹,

Nocera²,

Chen³

et al. 2022

Preprint

Self Cite

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“…The difference between the Kitaev-Γ chain behavior and numerical results obtained for the 2D Kitaev-Γ model is obviously from the missing z-bond, and one may wonder if the minimal geometry such as that of the 2-leg Kitaev-Γ ladder, depicted as may capture the phases found in the 2D model. This geometry has been the subject of several studies with Kitaev-like models [44,154,155,215,244,[249][250][251][252].…”

Section: Spin-1/2 Kitaev-γ Laddermentioning

confidence: 99%

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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