Spin folding in the two-dimensional Heisenberg<i>kagomé</i>antiferromagnet

Ritchey, I.; Chandra, Premala; Coleman, Piers

doi:10.1103/physrevb.47.15342

Cited by 157 publications

(215 citation statements)

References 29 publications

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“…This is in contrast to the T = 0 phase diagram of the classical version of the model. At J 2 = 0, the ground state of the classical J 1 -J 2 KHA exhibits an extensive degeneracy [41][42][43][44][45][46][47]. This is lifted upon introducing an infinitesimal J 2 , and the system develops magnetic order [48].…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of theJ1−J2Heisenberg model on the kagome lattice

et al. 2015

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We perform an extensive density-matrix renormalization-group study of the ground-state phase diagram of the spin-1/2 J 1 -J 2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome Heisenberg antiferromagnet, i.e., at J 2 = 0. We investigate the static spin structure factor, the magnetic correlation lengths, and the spin gaps. Our results are consistent with the absence of magnetic order in a narrow region around J 2 ≈ 0, although strong finite-size effects do not allow us to accurately determine the phase boundaries. This result is in agreement with the presence of an extended spin-liquid region, as it has been proposed recently. Outside the disordered region, we find that for ferromagnetic and antiferromagnetic J 2 , the ground state displays signatures of the magnetic order of the √ 3 × √ 3 and the q = 0 type, respectively. Finally, we focus on the structure of the entanglement spectrum (ES) in the q = 0 ordered phase. We discuss the importance of the choice of the bipartition on the finite-size structure of the ES.

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Section: Introductionmentioning

confidence: 99%

Phase diagram of theJ1−J2Heisenberg model on the kagome lattice

et al. 2015

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“…− 8u 11 (κλ, κµ)(λ 6 + 4µ 6 ) − 2µ 6 r 20 + 2ω 2 r 212 (κµ) + 2u 11 (κλ, κµ)µ κ 21 (κµ, κλ)µ 2 6 µκ 2 + 128u 21 (κλ, κµ)λ 6 µ 6 µκ 2 + 16u 21 (κλ, κµ)λ 6 µ 2 κ + 48u 21 (κµ, κλ)µ 6 µ 2 κ − 16µ 6 (4u 11 (κλ, κµ)λ 6 + 5l 2 (κλ)λ 6 + 16u 11 (κλ, κµ)µ 6 + 10l 2 (κµ)µ 6 )κ + 4u 21 (κµ, κλ)µ 3 − 4l 2 (κλ)λ 6 µ − 8l 2 (0)µ 6 µ − 32l 2 (κµ)µ 6 µ − 16u 11 (κλ, κµ)(λ 6 + 4µ 6 )µ − 4l 201 (κµ)µ 6 ω − 4µ 6 ωr 21 + 4ω 3 r 213 (κµ) − u 11 (κλ, κµ)µ 2 κ + 2l 2 (κµ)µ 2 κ + 4l 1 (κµ)λ 6 κ − 4l 2 (κλ)λ 6 κ − 44l 1 (κµ)µ 6 κ − l 201 (κµ)µω κ − µ 2 r 110 (κµ) κ…”

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“…7 While extensive studies on frustrated magnets have revealed that the triangular HAF may exhibit the magnetic LRO, 8,9,10,11,12,13,14,15,16,17,18 the Anderson's idea is still attracting much interest, and has been tested for its possible realization in other geometrically frustrated systems such as pyrochlore and Kagome HAF, and multiple ring exchange spin models. 19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35 Recently, Shimizu et al reported that in an organic Mott insulator with spin s = 1/2 on a triangular lattice, κ-(ET) 2 Cu 2 (CN) 3 , no magnetic LRO is observed down to 32 mK. 36 Their experimental results suggest the possibility of a new kind of a ground state including the spin liquid.…”

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confidence: 99%

Low-energy properties of two-dimensional quantum triangular antiferromagnets: Nonperturbative renormalization group approach

Fujimoto

2006

Phys. Rev. B

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We explore low temperature properties of quantum triangular Heisenberg antiferromagnets in two dimension in the vicinity of the quantum phase transition at zero temperature. Using the effective field theory described by the O(3) × O(2) matrix Ginzburg-Landau-Wilson model and the non-perturbative renormalization group method, we clarify how quantum and thermal fluctuations affect long-wavelength behaviors in the parameter region where the systems exhibit a fluctuationdriven first order transition to a long-range ordered state. We show that at finite temperatures the crossover from a quantum φ 6 theory to a renormalized two-dimensional classical nonlinear sigma model region appears, and in this crossover region, massless fluctuation modes with linear dispersion a la spin waves govern low-energy physics. Our results are partly in good agreement with the recent experimental observations for the two-dimensional triangular Heisenberg spin system, NiGa2S4.

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“…Their regions of stability were found from considering the free energy at finite temperature which was evaluated using a calculation of the elementary excitations. This was an example of 'order by disorder' that had previously been applied to models with continuous symmetry 30,31 . The method gave the ordering of the phases correctly and also identified the line between them.…”

Section: E Phase Lmentioning

confidence: 99%

The phase diagram of an anisotropic Potts model

Ahmed¹,

Gehring²

2005

J. Phys. A: Math. Gen.

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A study is made of an anisotropic Potts model in three dimensions where the coupling depends on both the Potts state on each site but also the direction of the bond between them using both analytical and numerical methods. The phase diagram is mapped out for all values of the exchange interactions. Six distinct phases are identified. Monte Carlo simulations have been used to obtain the order parameter and the values for the energy and entropy in the ground state and also the transition temperatures. Excellent agreement is found between the simulated and analytic results.We find one region where there are two phase transitions with the lines meeting in a triple point.The orbital ordering that occurs in LaM nO 3 occurs as one of the ordered phases.

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Spin folding in the two-dimensional Heisenbergkagoméantiferromagnet

Cited by 157 publications

References 29 publications

Phase diagram of theJ1−J2Heisenberg model on the kagome lattice

Phase diagram of theJ1−J2Heisenberg model on the kagome lattice

Low-energy properties of two-dimensional quantum triangular antiferromagnets: Nonperturbative renormalization group approach

The phase diagram of an anisotropic Potts model

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