Insights into the anisotropic spin-
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 Kitaev chain

Gordon, Jacob

doi:10.1103/physrevresearch.4.013205

Cited by 10 publications

(6 citation statements)

References 51 publications

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“…40, finite-size effects are conspicuously absent. However, the unusual double peak structure, with peaks at T l /K = 0.057 and T h /K=0.587 for N =50, of the specific heat associated with thermal fractionalization [102,103] characteristic of Kitaev physics is clearly present arising from the separation of energy scales as previously noted [40,71]. The low-temperature peak has been shown to arise from excitations of the bondparity operators, W l Eq.…”

Section: Specific Heat S=1mentioning

confidence: 62%

“…The low-temperature peak has been shown to arise from excitations of the bondparity operators, W l Eq. ( 14), with the average bond density, Wb =(1/L) W l , approaching zero at the energy scale of the low temperature peak [40,71].…”

Section: Specific Heat S=1mentioning

confidence: 99%

“…In materials other interactions than the Kitaev interactions will be present and the S=1 Kitaev chain has been studied in the presence of an additional Heisenberg coupling, J [42,43], a Γ-term [40] and also in the presence of anisotropy [41,71]. However, it is important to consider in detail the nature of the zero field ground-state of the isotropic S=1 chain with J=Γ=0.…”

Section: B the Kitaev Chain At H=0mentioning

confidence: 99%

“…We then turn the attention to OBC (Fig. 6(a)) where the ground-state at h=0 is four-fold degenerate for S=1 [42,71]. For small fields, the ground-state degeneracy is lifted, and a low-lying doublet appears below a singlet.…”

Section: B Energy Gapsmentioning

confidence: 99%

“…The thermodynamics of the S=1 Kiatev chain in zero field, h=0, has previously been studied [40,71] using transfer matrix renormalization group [100,101] (TMRG) techniques and a perturbative effective Hamiltonian approach [71]. To fully account for the presence of a single soliton in the low energy spectrum for OBC which breaks translational symmetry we here use a purification method outlined in section III that does not rely on translational symmetry.…”

Section: Specific Heat S=1mentioning

confidence: 99%

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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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