Characterizing spin-one Kitaev quantum spin liquids

Khait, Ilia; Stavropoulos, P. Peter; Kee, Hae-Young; Kim, Yong Baek

doi:10.48550/arxiv.2001.06000

Cited by 5 publications

(7 citation statements)

References 18 publications

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“…For the spin-S Kitaev models, we have given analytical arguments why the residual entropy is S max /2, in agreement with previous numerical results [43]. When additional terms are added to higher spin Kitaev Hamiltonian [29], there is numerical evidence that there may still be a residual entropy, but it may not have a simple value as in the pure Kitaev case. Indeed, a double peaked structure in the heat capacity and a plateau-like feature in the entropy with varying values are being discussed as experimental signatures of Kitaev physics [35,38,40].…”

Section: Discussionsupporting

confidence: 87%

“…While much interest has justifiably focused on spin-1/2 Kitaev materials, it has been shown that Kitaev models with arbitrary spin retain many interesting properties [20][21][22][23][24][25][26][27][28][29]. For arbitrary spin, the system is a classical spin-liquid at intermediate temperatures, with only very short-range spin correlations and an extensive classical degeneracy.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice

Bradley,

Oitmaa,

Sen

et al. 2020

Preprint

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We study the thermodynamic properties of modified spin-S Kitaev models introduced by Baskaran, Sen and Shankar (Phys. Rev. B 78, 115116 (2008)). These models have the property that for half-odd-integer spins their eigenstates map on to those of spin-1/2 Kitaev models, with well-known highly entangled quantum spin-liquid states and Majorana fermions. For integer spins, the Hamiltonian is made out of commuting local operators. Thus, the eigenstates can be chosen to be completely unentangled between different sites, though with a significant degeneracy for each eigenstate. For half-odd-integer spins, the thermodynamic properties can be related to the spin-1/2 Kitaev models apart from an additional degeneracy. Hence we focus here on the case of integer spins. We use transfer matrix methods, high temperature expansions and Monte Carlo simulations to study the thermodynamic properties of ferromagnetic and antiferromagnetic models with spin S = 1 and S = 2. Apart from large residual entropies, which all the models have, we find that they can have a variety of different behaviors. Transfer matrix calculations show that for the different models, the correlation lengths can be finite as T → 0, become critical as T → 0 or diverge exponentially as T → 0. There is a conserved Z2 flux variable associated with each hexagonal plaquette which saturates at the value +1 as T → 0 in all models except the S = 1 antiferromagnet where the mean flux remains zero as T → 0. We provide qualitative explanations for these results.

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Section: Discussionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice

Bradley,

Oitmaa,

Sen

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The magnetic field effects on the S=1 Kitaev model have also been investigated. [26][27][28] The bond-dependent interactions have recently been adopted into TMT systems, because the nearest neighbour (n.n.) Heisenberg J, Kitaev K and Γ interactions * hykee@physics.utoronto.ca are allowed based on the symmetry of the lattice.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Anisotropy in Spin-3/2 with Heavy Ligand in Honeycomb Mott Insulators: Application to CrI$_3$

Stavropoulos,

Liu,

Kee

2020

Preprint

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Ferromagnetism in the two-dimensional CrI3 has generated a lot of excitement, and it was recently proposed that the spin-orbit coupling in Iodine may generate bond-dependent spin interactions leading to magnetic anisotropy. Here we derive a microscopic spin model of S=3/2 on transition metals surrounded by heavy ligands in honeycomb Mott insulators using a strong-coupling perturbation theory. For ideal octahedra we find the Heisenberg and Kitaev interactions, which favor the magnetic moment along the cubic axis via quantum fluctuations. When a slight distortion of the octahedra is present together with the spin-orbit coupling, three additional terms, the off-diagonal symmetric interactions Γ and Γ , and on-site Ising interactions arise. They result in the magnetic anisotropy that pins the moment perpendicular to the honeycomb plane as observed in a single layer CrI3, revealing the strong impact of octahedra enviornment on the spin model. A gap in the spin-wave spectrum and comparison to the spin-orbit coupled J eff = 1/2 and S=1 models are also presented.

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“…In contrast to the spin-1/2 model, the higherspin Kitaev models are not exactly solvable. On the other hand, there exist numerical studies of the S = 1 Kitaev model supporting the existence of a quantum spin liquid ground state [32,[35][36][37][38][39][40]. In particular, an earlier study proposes the tensor network wavefunction for the S = 1 Kitaev quantum spin liquid [37].…”

mentioning

confidence: 99%

Anisotropy as a diagnostic test for distinct tensor network wavefunctions of integer and half-integer spin Kitaev quantum spin liquids

Lee,

Suzuki,

Kim

et al. 2020

Preprint

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Contrasting ground states of quantum magnets with the integer and half-integer spin moments are the manifestation of many-body quantum interference effects. In this work, we investigate the distinct nature of the integer and half-integer spin quantum spin liquids in the framework of the Kitaevs model on the honeycomb lattice. The models with arbitrary spin quantum numbers are not exactly solvable in contrast to the well-known quantum spin liquid solution of the spin-1/2 system. We use the tensor network wavefunctions for the integer and half-integer spin quantum spin liquid states to unveil the important difference between these states. We find that the distinct sign structures of the tensor network wavefunction for the integer and half-integer spin quantum spin liquids are responsible for completely different ground states in the spatially anisotropic limit. Hence the spatial anisotropy would be a useful diagnostic test for distinguishing these quantum spin liquid states, both in the numerical computations and experiments on real materials. We support this discovery via extensive numerics including the tensor network, DMRG, and exact diagonalization computations.

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Characterizing spin-one Kitaev quantum spin liquids

Cited by 5 publications

References 18 publications

Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice

Thermodynamic behavior of modified integer-spin Kitaev models on the honeycomb lattice

Magnetic Anisotropy in Spin-3/2 with Heavy Ligand in Honeycomb Mott Insulators: Application to CrI$_3$

Anisotropy as a diagnostic test for distinct tensor network wavefunctions of integer and half-integer spin Kitaev quantum spin liquids

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