Spin polaron in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext>−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>Heisenberg model

Hamad, I. J.; Trumper, A. E.; Feiguin, Adrian; Manuel, L. O.

doi:10.1103/physrevb.77.014410

Cited by 13 publications

(14 citation statements)

References 33 publications

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“…However we find that our results are not identical to the SCBA results of Ref. [12] also shown in Fig.4, though our results match much better with the exact result both in position and relative-strengths of the spectral peaks -corresponding to both the lowest energy QP and the high energy string excitations. As a further check, we also plot our results as well as SCBA results shown in Ref.…”

Section: Hole Dynamicscontrasting

confidence: 89%

“…It should be pointed out here that though the four sublattice picture gives the degeneracy between (0, 0) and (0, π) states, they correspond to different points in the Brillouin zone and thus represent different spin wave modes. Our magnon dispersion expressions, when unfolded to the two-sublattice picture, matches with the dispersion relations reported in various literature [12][13][14][15].…”

Section: Magnon Dispersionsupporting

confidence: 87%

“…Our calculations are based on the four sublattice nature of the problem which comes naturally from the competing J 1 and J 2 interactions in the Hamiltonian. Our results derived are found compatible with the earlier two-sublattice calculations [12][13][14] on the model, because the magnetic reference states, in the two limits that we consider, retains their two-sublattice nature. We emphasize at this point that the competing interaction pair ensures the four sublattice nature to the problem and, as a consequence, the appearance of multiple magnon branches in the system whose signatures are witnessed experimentally, e.g., in neutron diffraction results [16][17][18] in various frustrated magnetic systems.…”

Section: Introductionsupporting

confidence: 91%

“…In Fig.4 top-panel, we show the (π/2, π, 2) spectra of a 4 × 4 lattice at λ = 0.4 (with J 1 = 0.4t) obtained by our SCBA calculation with exact diagonalization (ED) plot taken from Ref. [12] demonstrating good match between the two. However we find that our results are not identical to the SCBA results of Ref.…”

Section: Hole Dynamicsmentioning

confidence: 71%

“…As a further check, we also plot our results as well as SCBA results shown in Ref. [12,25] together in Fig.4 bottom-panel. The comparison clearly shows that our plot falls essentially on top of that from Ref.…”

Section: Hole Dynamicsmentioning

confidence: 84%

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Magnon dispersion and single hole motion in 2D frustrated antiferromagnets with four-sublattice structures

Kar

2015

Journal of Magnetism and Magnetic Materials

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We study a two dimensional spin-1 2 J1 −J2 antiferromagnet in a square lattice using the linearized spin wave theory recognizing the 4-sublattice nature of the underlying magnetic lattice. Multiple magnon modes with optical and acoustic branches about the stable Neel ordered and double acoustic branches about the columnar reference states are obtained for small and large values of λ(= J2/J1) respectively. An additional uniaxial anisotropy, for large λ, can lead to distinct spin gaps in such systems, as also witnessed experimentally. The single hole spectral behavior in a 2D t − J1 − J2 model, for small frustration, is then calculated within the non-crossing approximation. Our results match fairly well with exact diagonalization results from a 4 × 4 cluster. Hole spectral features and their evolution with λ resulting in "water-fall"-like smooth spectral weight transfer are discussed. Hole energy bands are identified and the corresponding energy-shift and reduction in width with spin-frustration are indicated.

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Section: Hole Dynamicscontrasting

confidence: 89%