Spontaneous Magnetization of the Spin-1/2 Heisenberg Antiferromagnet on the Triangular Lattice with a Distortion

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

doi:10.1088/1742-6596/969/1/012126

Cited by 8 publications

(11 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, recent ED results by Shimada et al 17 for systems up to 36 × 36 sites indicate that the spontaneous magnetization of the semiclassical ferrimagnetic phase for J < J vanishes non-continuously below some non-zero J c . This would be consistent with the existence of PD, however the value of the critical J c and precise nature of the correlations below J c appear to be difficult to obtain in ED due to limited accessible system sizes.…”

Section: B Previous Numerical Resultsmentioning

confidence: 96%

“…The existence of PD physics in the stuffed honeycomb lattice is supported by an ex-act diagonalization (ED) study which shows a phase with vanishing magnetization at weak J . 17 The goal of this paper is to identify the mechanism which causes the PD state in the stuffed honeycomblattice Heisenberg model. The fact that PD exists in the regime of small J allows us to attack the problem perturbatively: We integrate out the degrees of freedom of the honeycomb subsystem, assuming collinear Néel order of the latter.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet

Seifert

Vojta

2019

Phys. Rev. B

View full text Add to dashboard Cite

Recent numerical results [Gonzalez et al., Phys. Rev. Lett. 122, 017201 (2019); Shimada et al., J. Phys. Conf. Ser. 969, 012126 (2018)] point to the existence of a partial-disorder ground state for a spin-1/2 antiferromagnet on the stuffed honeycomb lattice, with 2/3 of the local moments ordering in an antiferromagnetic Néel pattern, while the remaining 1/3 of the sites display short-range correlations only, akin to a quantum spin liquid. We derive an effective model for this disordered subsystem, by integrating out fluctuations of the ordered local moments, which yield couplings in a formal 1/S expansion, with S being the spin amplitude. The result is an effective triangular-lattice XXZ model, with planar ferromagnetic order for large S and a stripe-ordered Ising ground state for small S, the latter being the result of frustrated Ising interactions. Within the semiclassical analysis, the transition point between the two orders is located at Sc = 0.646, being very close to the relevant case S = 1/2. Near S = Sc quantum fluctuations tend to destabilize magnetic order. We conjecture that this applies to S = 1/2, thus explaining the observed partial-disorder state. arXiv:1812.08168v2 [cond-mat.str-el] 1 May 2019

show abstract

Section: B Previous Numerical Resultsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet

Seifert

Vojta

2019

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…Another class of possible materials realizations are spin chain materials like RbFeBr 3 , which form quasi-1D spin chains arranged in the basal plane as a stuffed honeycomb lattice 53 ; these spins are XY-like, and are thought to form a partially disordered antiferromagnetic phase, with one-third of the spin chains disordered in the basal plane. This model has been studied for XY 54,55 and Heisenberg [56][57][58][59] spins with nearestneighbor J 1 and J exchange.…”

Section: Introductionmentioning

confidence: 99%

Classical phase diagram of the stuffed honeycomb lattice

et al. 2018

View full text Add to dashboard Cite

We investigate the classical phase diagram of the stuffed honeycomb Heisenberg lattice, which consists of a honeycomb lattice with a superimposed triangular lattice formed by sites at the center of each hexagon. This lattice encompasses and interpolates between the honeycomb, triangular and dice lattices, preserving the hexagonal symmetry while expanding the phase space for potential spin liquids. We use a combination of iterative minimization, classical Monte Carlo and analytical techniques to determine the complete ground state phase diagram. It is quite rich, with a variety of non-coplanar and non-collinear phases not found in the previously studied limits. In particular, our analysis reveals the triangular lattice critical point to be a multicritical point with two new phases vanishing via second order transitions at the critical point. We analyze these phases within linear spin wave theory and discuss consequences for the S = 1/2 spin liquid. arXiv:1805.09831v2 [cond-mat.str-el] 20 Sep 2018 i,j η=A,B,C S η i · S η j (3) J 1 and J both correspond to nearest-neighbor (NN) interactions. While J 1 couples the A and B sublattices, J couples the C sublattice with both A and B

show abstract

“…Among systems showing spontaneously magnetized intermediate states, the triangular-lattice Heisenberg antiferromagnet with distortion of the √3×√3 type shows a fascinating phenomenon [17][18][19][20] . The spontaneous magnetization decreases from the magnitude for the dice-lattice case 21) through smaller spontaneous magnetization to zero spontaneous magnetization for the undistorted triangular-lattice case.…”

Section: Introductionmentioning

confidence: 99%

“…The spontaneous magnetization decreases from the magnitude for the dice-lattice case 21) through smaller spontaneous magnetization to zero spontaneous magnetization for the undistorted triangular-lattice case. However, a recent report based on a numerical-diagonalization study 20) clarified the a Electronic mail: sakai@spring8.or.jp. b Electronic mail: hnakano@sci.u-hyogo.ac.jp existence of another spontaneous-magnetization phase in the region of the interaction controlling the distortion is further varied.…”

Section: Introductionmentioning

confidence: 99%

Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration

Sakai

Nakano

2018

AIP Advances

Self Cite

View full text Add to dashboard Cite

The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numericaldiagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice.It is known that when interaction on the square lattice is increased from the ferrimagnetic limit of strong interaction on the Lieb lattice, this system shows gradual decrease and disappearance of spontaneous magnetization in the ground state. The present study treats the region near the case of the square-lattice antiferromagnet accompanied by isolated spins by numerical-diagonalization calculations of finite-size clusters with the maximum size of 39 sites. Our numerical results suggest the existence of a new phase with small but nonzero spontaneous magnetization between two zero-spontaneous-magnetization phases.

show abstract

Spontaneous Magnetization of the Spin-1/2 Heisenberg Antiferromagnet on the Triangular Lattice with a Distortion

Cited by 8 publications

References 43 publications

Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet

Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet

Classical phase diagram of the stuffed honeycomb lattice

Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration

Contact Info

Product

Resources

About