Modified spin-wave theory with ordering vector optimization: spatially anisotropic triangular lattice andJ1J2J3model with Heisenberg interactions

Hauke, Philipp; Roscilde, Tommaso; Murg, Valentin; Cirac, J. I.; Schmied, Roman

doi:10.1088/1367-2630/13/7/075017

Cited by 41 publications

(70 citation statements)

References 76 publications

(109 reference statements)

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“…This energy preference of the incommensurate state on the classical level is a robust effect that is not sensitive to uncertainties in computed exchange coupling, see Table II. The stabilization of the collinear state by quantum fluctuations has been predicted for the spatially anisotropic spin-1 2 triangular lattice [29][30][31][32][33], and a similar mechanism may be operative in our case. Alternatively, collinear state may be stabilized by anisotropy terms in the spin Hamiltonian.…”

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confidence: 76%

Collinear order in the frustrated three-dimensionalspin−12antiferromagnetLi2CuW2O8

et al. 2015

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Magnetic frustration in three dimensions (3D) manifests itself in the spin-1 2 insulator Li2CuW2O8. Density-functional band-structure calculations reveal a peculiar spin lattice built of triangular planes with frustrated interplane couplings. The saturation field of 29 T contrasts with the susceptibility maximum at 8.5 K and a relatively low Néel temperature TN 3.9 K. Magnetic order below TN is collinear with the propagation vector (0, 1 2 , 0) and an ordered moment of 0.65(4) µB according to neutron diffraction data. This reduced ordered moment together with the low maximum of the magnetic specific heat (C max /R 0.35) pinpoint strong magnetic frustration in 3D. Collinear magnetic order suggests that quantum fluctuations play crucial role in this system, where a noncollinear spiral state would be stabilized classically. Introduction. Magnetic frustration, the competition of exchange couplings between localized spins, has broad implications for ground states, excitation spectra, and low-temperature properties. Prominent manifestations of the frustration include peculiar behaviors of spin ice [1], the formation of quantum spin liquids [2], and non-collinear magnetic structures that give rise to spin chirality and strong magnetoelectric coupling [3]. The properties of frustrated magnets change drastically depending on the dimensionality of the spin lattice. Rigorous mapping between theory and experiment requires that both magnetic models and real materials are relatively simple. In this context, the case of isotropic (Heisenberg) exchange on a three-dimensional (3D) lattice of quantum spin-

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confidence: 76%

Collinear order in the frustrated three-dimensionalspin−12antiferromagnetLi2CuW2O8

et al. 2015

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“…The triangular-lattice Heisenberg model with the anisotropic exchange interactions has also been studied to find a variety of ordered phases such as Néel and spiral orders, as well as the quantum disordered (or spin liquid) phases in-between [21][22][23].…”

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confidence: 99%

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

2017

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The variational cluster approximation is used to study the isotropic triangular-lattice Hubbard model at half filling, taking into account the nearest-neighbor (t1) and next-nearest-neighbor (t2) hopping parameters for magnetic frustrations. We determine the ground-state phase diagram of the model. In the strong correlation regime, the 120• Néel and stripe ordered phases appear, and a nonmagnetic insulating phase emerges in between. In the intermediate correlation regime, the nonmagnetic insulating phase expands to a wider parameter region, which goes into a paramagnetic metallic phase in the weak correlation regime. The critical phase boundary of the Mott metalinsulator transition is discussed in terms of the van Hove singularity evident in the calculated density of states and single-particle spectral function.

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“…Hauke [55,69] has considered the fully anisotropic triangular lattice and argued that this can explain the phase diagram of the organic charge transfer salts. Alternative models such as the quarter-filled Hubbard model, with each site representing a monomer [70] and multiorbital models [25] have also been proposed.…”

Section: Introductionmentioning

confidence: 99%

Spin-liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice

2014

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We investigate the effect of ring exchange on the ground-state properties and magnetic excitations of the S = 1/2 Heisenberg model on the anisotropic triangular lattice with ring exchange at T = 0 using linear spin-wave theory. Classically, we find stable Néel, spiral and collinear magnetically ordered phases. Upon including quantum fluctuations to the model, linear spin-wave theory shows that ring exchange induces a large quantum disordered region in the phase diagram, completely wiping out the classically stable collinear phase. Analysis of the spin-wave spectra for each of these three models demonstrates that the large spin-liquid phase observed in the full model is a direct manifestation of competing classical orders. To understand the origin of these competing phases, we introduce models where either the four spin contributions from ring exchange, or the renormalization of the Heisenberg terms due to ring exchange are neglected. We find that these two terms favor rather different physics.

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Modified spin-wave theory with ordering vector optimization: spatially anisotropic triangular lattice andJ₁J₂J₃model with Heisenberg interactions

Cited by 41 publications

References 76 publications

Collinear order in the frustrated three-dimensionalspin−12antiferromagnetLi2CuW2O8

Collinear order in the frustrated three-dimensionalspin−12antiferromagnetLi2CuW2O8

Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping

Spin-liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice

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