Dynamical properties of a hole in a Heisenberg antiferromagnet

Liu, Zhiping; Manousakis, Efstratios

doi:10.1103/physrevb.45.2425

Cited by 270 publications

(395 citation statements)

References 27 publications

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“…[38]. The success of the SCBA has roots in the vanishing of low order vertex corrections as pointed out by several authors for systems where the hole is coupled to an AFM spin background [36,10,39].…”

Section: Slave Fermion Approachmentioning

confidence: 99%

Spatial structure of spin polarons in thet−Jmodel

Ramšak

Horsch

1998

Phys. Rev. B

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The deformation of the quantum Néel state induced by a spin polaron is analyzed in a slave fermion approach. Our method is based on the selfconsistent Born approximation for Green's and the wave function for the quasiparticle. The results of various spin-correlation functions relative to the position of the moving hole are discussed and shown to agree with those available from small cluster calculations. Antiferromagnetic correlations in the direct neighborhood of the hole are reduced, but they remain antiferromagnetic even for J as small as 0.1t . These correlation functions exhibit dipolar distortions in the spin structure, which sensitively depend on the momentum of the quasiparticle. Their asymptotic decay with the distance from the hole is governed by power laws, yet the spectral weight of the quasiparticles does not vanish.

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Section: Slave Fermion Approachmentioning

confidence: 99%

Spatial structure of spin polarons in thet−Jmodel

Ramšak

Horsch

1998

Phys. Rev. B

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“…Refs [9,[11][12][13]15,29]) shows that simple formulas (6),(8) underestimate β 1 by 10-20%. This produces no serious effect on the results of the present work, but certainly this correction can to be included.…”

Section: Interaction Between the Holes With Opposite Spins Effecmentioning

confidence: 99%

“…Ref. [9,12,13]). Account of the first 1/zS correction gives f ≈ f 1 = 8 3 t, and summation of all 1/zS series gives f = 3.4t for t ≪ ∆/4 [28].…”

Section: Interaction Between the Holes With Opposite Spins Effecmentioning

confidence: 99%

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Large-size two-hole bound states in the t-J model

Kuchiev

Sushkov

1993

Physica C: Superconductivity

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Several series of shallow large-size (l ≫ lattice spacing) two-hole bound states are found in the two-dimensional t − J model. Their binding energies depend exponentially on the inverse value of the hole-spin-wave coupling constant. Their parity is connected with the angular wave function in a nonstandard way. The possible role of these states in the formation of superconducting pairing is considered.

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“…is the operator creating magnon in the A (B) sublattice with dispersion Ω q [3,4,5] . The operator in the direct space f † i (h † i ) creates a spinless hole on the site i of the sublattice A (B) .…”

mentioning

confidence: 99%

Nonlocal Composite Spin-Lattice Polarons in High Temperature Superconductors

et al. 2007

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The non-local nature of the polaron formation in t-t ′ -t ′′ -J model is studied in large lattices up to 64 sites by developing a new numerical method. We show that the effect of longer-range hoppings t ′ and t ′′ is a large anisotropy of the electron-phonon interaction (EPI) leading to a completely different influence of EPI on the nodal and antinodal points in agreement with the experiments. Furthermore, nonlocal EPI preserves polaron's quantum motion, which destroys the antiferromagnetic order effectively, even at strong coupling regime, although the quasi-particle weight in angleresolved-photoemission spectroscopy is strongly suppressed.PACS numbers: 71.10. Fd, 02.70.Ss, 75.50.Ee It is a matter of long debates whether electron-phonon interaction (EPI) plays an essential role in the formation of the puzzling properties of high temperature superconductors [1]. Early theoretical studies of the angle resolved photoemission spectroscopy (ARPES) of undoped cuprates were based on the t-t ′ -t ′′ -J model, where doped holes into an antiferromagnetic (AFM) material are characterized by exchange constant J and hoppings up to 3rd near neighbors(NN) with amplitudes t, t ′ and t ′′ . This approach successfully described the dispersion of the experimentally observed peak [2] and appeared to exclude strong EPI. However, there was a strong contradiction between the theoretical and experimental lineshapes: in contrast with the very broad peak in experiments [1] the theory predicted a sharp peak [3,4,5]. This contradiction was resolved under assumption that the undoped parent compounds are in the strong coupling regime (SCR) of the EPI. In the simplest case of t-J-Holstein model, where a hole interacts with dispersionless optical phonons through on-site local coupling, it was shown that at SCR the spectral weight of the quasiparticle is almost completely transferred to the broad FranckCondon shake-off peak which inherits the dispersion of the hole when it does not interact with phonons [6]. Furthermore, the inheritance of the dispersion of the noninteracting quasiparticle by the Franck-Condon peak was shown to be a property of a broad class of models with EPI [7]. Recently, the relevance of the t-J-Holstein model for cuprates has been rather convincingly questioned [8]. It has been shown that SCR leads to a picture of a localized static hole with 4 broken bonds about it. In this case the percolative model predicts that AFM order survives up to critical concentration x ≈ 0.5 in contradiction with the experimental value x ≈ 0.02−0.04. Another problem of the t-J-Holstein model is the very large effective mass in the whole SCR [6] contradicting transport and optical properties of lightly doped cuprates [9].The above arguments, in favor or against the SCR in undoped cuprates, suggest that the answer must be found in a class of more realistic t-t ′ -t ′′ -J models where EPI, as it is in cuprates [10], is nonlocal. Besides of the particular relevance of the above models in the physics of high temperature superconductivity, there ...

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Dynamical properties of a hole in a Heisenberg antiferromagnet

Cited by 270 publications

References 27 publications

Spatial structure of spin polarons in thet−Jmodel

Spatial structure of spin polarons in thet−Jmodel

Large-size two-hole bound states in the t-J model

Nonlocal Composite Spin-Lattice Polarons in High Temperature Superconductors

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