Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with \(\sqrt{3} \times \sqrt{3} \)-Type Distortion — Behavior around the Boundaries of the Intermediate Phase

Shimada, Aya; Nakano, Hiroki; Sakai, Tôru; Yoshimura, Kazuyoshi

doi:10.7566/jpsj.87.034706

Cited by 7 publications

(9 citation statements)

References 66 publications

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“…1 (a) and (b) and W = 0 for the case in Fig. 1 (c Recently, the ferrimagnetism in the dice-lattice antiferromagnet was studied [54][55][56] when it collapses gradually owing to frustration.…”

Section: Resultsmentioning

confidence: 99%

The Destabilization of the Ferrimagnetic Ground State of a Spin-1/2 Heisenberg Antiferromagnet Owing to Frustrations

Nakano

2018

J. Jpn. Soc. Powder Powder Metallurgy

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The S = 1/2 Heisenberg antiferromagnet on the Lieb lattice accompanied by frustrating interactions is studied by the numerical-diagonalization method. Numerical results suggest that the model of the lattice obtained by combination of the Lieb lattice and the square lattice shows nontrivial states with nonzero spontaneous magnetization smaller than one third of the saturation magnetization when the strength of the frustrating interaction is in a specific region. In the region, the spontaneous magnetization gradually changes by varying the strength of the frustration. We find that the quantum effect in frustrating interactions is related to the appearance of the phase in which such weak spontaneous magnetizations occur.

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Section: Resultsmentioning

confidence: 99%

The Destabilization of the Ferrimagnetic Ground State of a Spin-1/2 Heisenberg Antiferromagnet Owing to Frustrations

Nakano

2018

J. Jpn. Soc. Powder Powder Metallurgy

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“…Magnetic frustration plays a key role in stabilizing spin liquids over competing orders. While the kagome lattice provides the best current candidates [2][3][4][5][6][7] , there are also potential spin liquids on both the next-nearest-neighbor honeycomb [8][9][10][11][12][13] and triangular [14][15][16][17][18][19][20] lattices. Our paper addresses potential spin liquids on the frustrated stuffed honeycomb lattice 21 that interpolates between the triangular and honeycomb lattices.…”

Section: Introductionmentioning

confidence: 99%

Symmetric spin liquids on the stuffed honeycomb lattice

Sahoo

Flint

2020

Phys. Rev. B

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We use a projective symmetry group analysis to determine all symmetric spin liquids on the stuffed honeycomb lattice Heisenberg model. This lattice interpolates between honeycomb, triangular and dice lattices, always preserving hexagonal symmetry, and it already has one spin liquid candidate, TbInO3, albeit with strong spin-orbit coupling not considered here. In addition to the stuffed honeycomb lattice itself, we gain valuable insight into potential spin liquids on the honeycomb and triangular lattices, as well as how they might be connected. For example, the sublattice pairing state proposed on the honeycomb lattice connects to the uniform spinon Fermi surface that may be relevant for the triangular lattice with ring exchange, while there are no spin liquids competitive on both the J1 − J2 honeycomb and triangular lattice limits. In particular, we find three stuffed honeycomb descendants of the U(1) Dirac spin liquid widely believed to be found on the J1 − J2 triangular lattice. We also discuss how spin liquids near the honeycomb limit can potentially explain the physics of LiZn2Mo3O8.

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“…It is known that the triangularlattice Heisenberg antiferromagnet shows a plateau without jumps at both edges [22][23][24][25][26]. Addition and removal of interactions in the triangular-lattice antiferromagnet were also studied from the viewpoints of the changing plateau behavior [27][28][29]. Therefore, it is worth studying how the change of interaction affects the behavior of various magnetic systems.…”

Section: Introductionmentioning

confidence: 99%

Metamagnetic jump in the spin- 12 antiferromagnetic Heisenberg model on the square kagome lattice

2018

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The magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on twodimensional square-kagome lattice is studied theoretically. The metamagnetic jumps exist in the magnetization process at the higher edge of the 1/3 and 2/3 plateaus. The parameter-dependencies of the critical field and the magnitude of the magnetization jump at the higher edge of the 1/3 plateau are obtained by using the approximated state in the unit cell and compared with the numerical results of the exact diagonalization of 42 sites.

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Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with \(\sqrt{3} \times \sqrt{3} \)-Type Distortion — Behavior around the Boundaries of the Intermediate Phase

Cited by 7 publications

References 66 publications

The Destabilization of the Ferrimagnetic Ground State of a Spin-1/2 Heisenberg Antiferromagnet Owing to Frustrations

The Destabilization of the Ferrimagnetic Ground State of a Spin-1/2 Heisenberg Antiferromagnet Owing to Frustrations

Symmetric spin liquids on the stuffed honeycomb lattice

Metamagnetic jump in the spin- 12 antiferromagnetic Heisenberg model on the square kagome lattice

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