Nonlocal string order parameter in the 
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 Kitaev-Heisenberg ladder

Catuneanu, Andrei; Sørensen, Erik S.

doi:10.1103/physrevb.99.195112

Cited by 43 publications

(26 citation statements)

References 30 publications

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“…We denote the total number of sites in the strip by N . This geometry has recently been used to study the Kitaev-Heisenberg model 49 , where it was found that its phase diagram displays a striking similarity with that of the 2D honeycomb lattice. Further rationale for this choice of geometry is discussed in the SI.…”

Section: R 1 I O W W N C a R N 4 M M V N O A W M H A A G W E 8 W Y U ...mentioning

confidence: 99%

Theory of the field-revealed Kitaev spin liquid

Gordon,

Catuneanu,

Sørensen

et al. 2019

Preprint

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Elementary excitations in highly entangled states such as quantum spin liquids may exhibit exotic statistics, different from those obeyed by fundamental bosons and fermions. Excitations called non-Abelian anyons are predicted to exist in a Kitaev spin liquid -the ground state of an exactly solvable model proposed by Kitaev almost a decade ago. A smoking-gun signature of such non-Abelian anyons, namely a half-integer quantized thermal Hall conductivity, was recently reported in α-RuCl 3 . While fascinating, a microscopic theory for this phenomenon in α-RuCl 3 remains elusive because the pure Kitaev phase cannot capture these anyons appearing in an intermediate magnetic field. Here we

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Section: R 1 I O W W N C a R N 4 M M V N O A W M H A A G W E 8 W Y U ...mentioning

confidence: 99%

Theory of the field-revealed Kitaev spin liquid

Gordon,

Catuneanu,

Sørensen

et al. 2019

Preprint

Self Cite

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“…den Nijs and Rommelse first showed that the SOP witnesses the hidden Néel order of the Haldane phase of the spin-1 AKLT model [76]. More recent work has extended the use of SOPs in the analysis of topological phases also to bosonic and fermionic systems [77][78][79][80][81]. Recently, within the context of high T c superconductivity, SOPs have been used to theoretically study the topological phases diagram of the t − J model [82].…”

Section: String Order Parametermentioning

confidence: 99%

Out-of-equilibrium phase diagram of long-range superconductors

et al. 2020

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Within the ultimate goal of classifying universality in quantum many-body dynamics, understanding the relation between out-of-equilibrium and equilibrium criticality is a crucial objective. Models with power-law interactions exhibit rich well-understood critical behavior in equilibrium, but the out-of-equilibrium picture has remained incomplete, despite recent experimental progress. We construct the rich dynamical phase diagram of free-fermionic chains with power-law hopping and pairing and provide analytic and numerical evidence showing a direct connection between nonanalyticities of the return rate and zero crossings of the string order parameter. Our results may explain the experimental observation of so-called accidental dynamical vortices, which appear for quenches within the same topological phase of the Haldane model, as reported by Fläschner et al. [Nat. Phys. 14, 265 (2018)]. Our work is readily applicable to modern ultracold-atom experiments, not least because state-of-the-art quantum gas microscopes can now reliably measure the string order parameter, which, as we show, can serve as an indicator of dynamical criticality.

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“…Therefore, investigations in reduced dimensionality, i.e., in one-dimensional (1D) systems, can be useful and valuable to better understand the 2D physics, since there are more controllable theoretical tools in 1D [34][35][36][37][38][39][40][41][42] . Recently, there has been a series of theoretical works on the phase diagrams of quasi-1D generalized Kitaev models [43][44][45][46][47][48][49][50][51][52][53] . A plethora of interesting phases has been found, including emergent conformal invariance, Luttinger liquid phases, magnetically ordered phases, nonlocal string orders, and spin liquids.…”

Section: Introductionmentioning

confidence: 99%

Symmetry analysis of bond-alternating Kitaev spin chains and ladders

Yang,

Nocera,

Herringer

et al. 2022

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In this work, we analyze the nonsymmorphic symmetry group structures for a variety of quasione-dimensional generalized Kitaev spin models with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma chain, beyond nearest neighbor interactions, and two-leg spin ladders. The symmetry analysis is applied to determine the symmetry breaking patterns of several magnetically ordered phases in the bond-alternating Kitaev-Gamma spin chains, as well as the dimerization order parameters for spontaneous dimerizations. Our work is useful in understanding the magnetic phases in related models and may provide guidance for the symmetry classifications of mean field solutions in further investigations.

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Nonlocal string order parameter in the S=12 Kitaev-Heisenberg ladder

Cited by 43 publications

References 30 publications

Theory of the field-revealed Kitaev spin liquid

Theory of the field-revealed Kitaev spin liquid

Out-of-equilibrium phase diagram of long-range superconductors

Symmetry analysis of bond-alternating Kitaev spin chains and ladders

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