Ground-state and finite-temperature properties of spin liquid phase in the honeycomb model

Yu, Xiang-Long; Liu, Dayong; Li, Peng; Zou, Liang‐Jian

doi:10.1016/j.physe.2013.12.017

Cited by 25 publications

(50 citation statements)

References 35 publications

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“…Zhang and Lamas [32] find SDVBC order only in the very narrow range 0.3732 κ 0.398, with spiral order for κ 0.398. By contrast, Yu et al [34] find Néel-II order for κ 0.43.…”

Section: Modelmentioning

confidence: 81%

“…By contrast, another study using an entangled-plaquette variational (EPV) ansatz [24], which employs a very broad class of entangled-plaquette states, finds that the stable GS phase for κ > κ c 2 ≈ 0.4 has Néel-II quasiclassical order. Lastly, two recent Schwinger boson mean-field (SB-MFT) studies [32,34] disagree with one another on the nature of the GS phase for κ 0.4. Zhang and Lamas [32] find SDVBC order only in the very narrow range 0.3732 κ 0.398, with spiral order for κ 0.398.…”

Section: Modelmentioning

confidence: 88%

“…[21,22,24,26,[29][30][31][32][33][34]). For example, the CCM technique employed here yields the value κ c 1 = 0.207(3) for the corresponding quantum critical point (QCP) at which Néel order melts.…”

Section: Modelmentioning

confidence: 99%

“…For example, both SB-MFT studies [32,34] find a transition at κ c 1 to a QSL state. The EPV study [24] also favors a disordered QSL phase.…”

Section: Modelmentioning

confidence: 99%

See 3 more Smart Citations

Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

Bishop²

2016

Phys. Rev. B

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We study the zero-temperature quantum phase diagram of a spin-1 Heisenberg antiferromagnet on the honeycomb lattice with both nearest-neighbor exchange coupling J 1 > 0 and frustrating next-nearest-neighbor coupling J 2 ≡ κJ 1 > 0, using the coupled cluster method implemented to high orders of approximation, and based on model states with different forms of classical magnetic order. For each we calculate directly in the bulk thermodynamic limit both ground-state low-energy parameters (including the energy per spin, magnetic order parameter, spin stiffness coefficient, and zero-field uniform transverse magnetic susceptibility) and their generalized susceptibilities to various forms of valence-bond crystalline (VBC) order, as well as the energy gap to the lowest-lying spin-triplet excitation. In the range 0 < κ < 1 we find evidence for four distinct phases. Two of these are quasiclassical phases with antiferromagnetic long-range order, one with two-sublattice Néel order for κ < κ c 1 = 0.250 (5) (5) we find a gapless phase with no discernible magnetic order, which is a strong candidate for being a quantum spin liquid, while over the range κ i c < κ < κ c 2 we find a gapped phase, which is most likely a lattice nematic with staggered dimer VBC order that breaks the lattice rotational symmetry.

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“…Zhang and Lamas [32] find SDVBC order only in the very narrow range 0.3732 κ 0.398, with spiral order for κ 0.398. By contrast, Yu et al [34] find Néel-II order for κ 0.43.…”

Section: Modelmentioning

confidence: 81%

Section: Modelmentioning

confidence: 88%

Section: Modelmentioning

confidence: 99%

“…For example, both SB-MFT studies [32,34] find a transition at κ c 1 to a QSL state. The EPV study [24] also favors a disordered QSL phase.…”

Section: Modelmentioning

confidence: 99%

See 2 more Smart Citations

Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

Bishop²

2016

Phys. Rev. B

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“…So far, many efforts have been devoted to gain insight into the quantum nature of this disordered region for S = 1/2 systems. Some of these works support the existence of QSL [5][6][7][8][9][10] for 0.2…”

Section: Introductionmentioning

confidence: 77%

Valence bond phases inS= 1/2 Kane–Mele–Heisenberg model

Zare

Mosadeq

Shahbazi

et al. 2014

J. Phys.: Condens. Matter

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The phase diagram of Kane-Mele-Heisenberg (KMH) model in classical limit 47 , contains disordered regions in the coupling space, as the result of to competition among different terms in the Hamiltonian, leading to frustration in finding a unique ground state. In this work we explore the nature of these phase in the quantum limit, for a S = 1/2. Employing exact diagonalization (ED) in Sz and nearest neighbor valence bond (NNVB) bases, bond and plaquette valence bond mean field theories, We show that the disordered regions are divided into ordered quantum states in the form of plaquette valence bond crystal (PVBC) and staggered dimerized (SD) phases.

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Collinear antiferromagnetic phases of a frustrated spin-12 J1–
Li
¹
,
Bishop
²

2019
Journal of Magnetism and Magnetic Materials
4
1
7
0
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The regions of stability of two collinear quasiclassical phases within the zerotemperature quantum phase diagram of the spin-1 2 J 1 -J 2 -J ⊥ 1 model on an AA-stacked bilayer honeycomb lattice are investigated using the coupled cluster method (CCM). The model comprises two monolayers in each of which the spins, residing on honeycomb-lattice sites, interact via both nearestneighbor (NN) and frustrating next-nearest-neighbor isotropic antiferromagnetic (AFM) Heisenberg exchange iteractions, with respective strengths J 1 > 0 and J 2 ≡ κJ 1 > 0. The two layers are coupled via a comparable Heisenberg exchange interaction between NN interlayer pairs, with a strength J ⊥ 1 ≡ δJ 1 . The complete phase boundaries of two quasiclassical collinear AFM phases, namely the Néel and Néel-II phases on each monolayer, with the two layers coupled so that NN spins between them are antiparallel, are calculated in the κδ half-plane with κ > 0. Whereas on each monolayer in the Néel state all NN pairs of spins are antiparallel, in the Néel-II state NN pairs of spins on zigzag chains along one of the three equivalent honeycomb-lattice directions are antiparallel, while NN interchain spins are parallel. We calculate directly in the thermodynamic (infinite-lattice) limit both the magnetic order parameter M and the excitation energy ∆ from the s z T = 0 ground state to the lowest-lying |s z T | = 1 excited state (where s z T is the total z component of spin for the system as a whole, and where the collinear ordering lies along the z direction), for both quasiclassical states used (separately) as the CCM model state, on top of which the multispin quantum correlations are then calculated to high orders (n ≤ 10) in a systematic series of approximations involving n-spin clusters. The sole approximation made is then to extrapolate the sequences of nth-order results for M and ∆ to the exact limit, n → ∞.

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Ground-state and finite-temperature properties of spin liquid phase in the honeycomb model

Cited by 25 publications

References 35 publications

Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

Valence bond phases inS= 1/2 Kane–Mele–Heisenberg model

Collinear antiferromagnetic phases of a frustrated spin-12 J1–
Li
¹
,
Bishop
²

2019
Journal of Magnetism and Magnetic Materials
4
1
7
0
View full text Add to dashboard Cite

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Ground-state and finite-temperature properties of spin liquid phase in the honeycomb model

Cited by 25 publications

References 35 publications

Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

Ground-state phases of the spin-1J1−J2Heisenberg antiferromagnet on the honeycomb lattice

Valence bond phases inS= 1/2 Kane–Mele–Heisenberg model

Collinear antiferromagnetic phases of a frustrated spin-12 J1–Li1, Bishop2 2019Journal of Magnetism and Magnetic Materials4170View full textAdd to dashboardCite

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Product

Resources

About

Collinear antiferromagnetic phases of a frustrated spin-12 J1–
Li
¹
,
Bishop
²

2019
Journal of Magnetism and Magnetic Materials
4
1
7
0
View full text Add to dashboard Cite