Evolution of antiferromagnetic short-range order with doping in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductors

Zavidonov, A. Yu.; Brinkmann, D.

doi:10.1103/physrevb.58.12486

Cited by 22 publications

(9 citation statements)

References 48 publications

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“…Here, we take the spin Green's function approach. [22][23][24][25][26][27] For the calculation of τ φ , we need to compute the following correlation functions:…”

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confidence: 99%

Relationship between Magnetic Anisotropy below Pseudogap Temperature and Short-Range Antiferromagnetic Order in High-Temperature Cuprate Superconductor

Morinari

2018

J. Phys. Soc. Jpn.

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The central issue in high-temperature cuprate superconductors is the pseudogap state appearing below the pseudogap temperature T * , which is well above the superconducting transition temperature. In this study, we theoretically investigate the rapid increase of the magnetic anisotropy below the pseudogap temperature detected by the recent torque-magnetometry measurements on YBa 2 Cu 3 O y [Y. Sato et al., Nat. Phys., 13, 1074(2017]. Applying the spin Green's function formalism including the Dzyaloshinskii-Moriya interaction arising from the buckling of the CuO 2 plane, we obtain results that are in good agreement with the experiment and find a scaling relationship. Our analysis suggests that the characteristic temperature associated with the magnetic anisotropy, which coincides with T * , is not a phase transition temperature but a crossover temperature associated with the short-range antiferromagnetic order.

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“…Here, we take the spin Green's function approach. [22][23][24][25][26][27] For the calculation of τ φ , we need to compute the following correlation functions:…”

mentioning

confidence: 99%

Relationship between Magnetic Anisotropy below Pseudogap Temperature and Short-Range Antiferromagnetic Order in High-Temperature Cuprate Superconductor

Morinari

2018

J. Phys. Soc. Jpn.

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“…where J = 0.12 eV is the nearest neighbor (NN) AF exchange coupling constant, c 1 = (1/4) ρ S z i S z i+ρ is the NN AF spin-spin correlation function, γ q = 0.5(cos q x + cos q y ), and 2 q = 32J 2 α|c 1 |(1 − γ q )(0.5 sp + 1 + γ q ) is the energy of magnetic excitations (magnon mode frequency), where α is the decoupling parameter. The dimensionless spin gap parameter sp is related to the correlation length ξ via the expression sp = 1/(2ξ 2 ) and the temperature and doping dependence of ξ is essentially similar to that obtained by Zavidonov and Brinkmann [6]. The abbreviations (5) are expressed through the following quantities.…”

Section: Basic Relationsmentioning

confidence: 77%

“…has the same structure as in the isotropic spin-wave theory [26] and the theory for doped 2DHAF systems [6]. Using the definition of D 0 by (19), i.e.…”

Section: Resultsmentioning

confidence: 99%

“…From the underdoped side χ(ω, q) has been derived for carrier free and doped two dimensional quantum S = 1/2 Heisenberg antiferromagnetic (2DHAF) systems [5][6][7][8] whereas most papers that deal with the superconducting state present the expressions for χ(ω, q) as obtained in the limit of weakly interacting charge carriers [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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Toward a theory for low-frequency spin dynamics in plane copper oxide superconductors: crossover from localized spins to weak coupling charge carriers with doping

Larionov¹

2011

J. Phys.: Condens. Matter

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We explore for all wavevectors through the Brillouin zone the dynamic spin susceptibility χ(total)(+,-)(ω, q) that takes into account the interplay of localized and itinerant charge carriers. The imaginary part, Imχ(total)(+,-)(ω, q), has peaks at the antiferromagnetic wavevector Q = (π, π) and a diffusive-like, extremely narrow and sharp peak (symmetric ring of maxima |q| = q(0)) at very small wavevectors Q(0) is proportional to w/J ≈ 10(-6) with the nuclear magnetic/quadrupole resonance frequency ω and the superexchange coupling constant J. We demonstrate the capability of Imχ(total)(+,-)(ω, q) for plane copper (63)(1/T(1)) and oxygen (17)(1/T(1)) nuclear spin-lattice relaxation rate calculations from carrier free right up to optimally doped La(2 - x)Sr(x)CuO(4) and obtain the basic features of temperature and doping behavior for (63)(1/T(1)) in agreement with experimental observations.

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“…The spin-spin correlation associated with this broad peak is described by the Green's function method. [37][38][39][40][41] So, we use this formulation for the description of the localized spins. The formulation is briefly reviewed in Appendix A.…”

Section: Effect Of the Af Short-range Correlation On Conduction Elect...mentioning

confidence: 99%

Short-Range Antiferromagnetic Correlation Effect on Conduction Electrons in Two-Dimensional Strongly Correlated Electron Systems

Morinari

2019

J. Phys. Soc. Jpn.

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We investigate magnetic polarons in two-dimensional strongly correlated electron systems, where conduction electrons interact with antiferromagnetically interacting localized spins. Starting from a basic model, we derive a simplified model with the help of spin Green's function and a perturbation analysis. A strong coupling analysis is applied to the model, where the sum of the scattering wave vectors is approximated to be (π, π) or zero, using the equation of motion for the conduction electron Green's function, and we discuss the pseudogap like behavior associated with the suppression of the quasiparticle weights and the transition from the large magnetic polaron to the small magnetic polaron. In the antiferromagnetic long-range ordered state, the spectral weight of the conduction electrons has a form of broad humps due to Franck-Condon broadening associated with the multimagnon scattering. The band folding feature due to the (π, π) scattering disappears as we increase the number of the magnons involved in the multi-magnon scattering. It is crucial to include longrange antiferromagnetic correlations as well as dumping of magnons.I.

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Evolution of antiferromagnetic short-range order with doping in high-Tcsuperconductors

Cited by 22 publications

References 48 publications

Relationship between Magnetic Anisotropy below Pseudogap Temperature and Short-Range Antiferromagnetic Order in High-Temperature Cuprate Superconductor

Relationship between Magnetic Anisotropy below Pseudogap Temperature and Short-Range Antiferromagnetic Order in High-Temperature Cuprate Superconductor

Toward a theory for low-frequency spin dynamics in plane copper oxide superconductors: crossover from localized spins to weak coupling charge carriers with doping

Short-Range Antiferromagnetic Correlation Effect on Conduction Electrons in Two-Dimensional Strongly Correlated Electron Systems

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