Quantum disordered regime and spin gap in the cuprate superconductors

Barzykin, Victor; Pines, David; Sokol, A. V.; Thelen, D.

doi:10.1103/physrevb.49.1544

Cited by 44 publications

(49 citation statements)

References 38 publications

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“…6,47. However as was stressed in the paper, 47 the appearance of the pseudo-gap which they associate with the suppression of the spectral weight of spin waves characteristic of the quantum disordered (QD) regime should affect the low frequency dynamics for both q = 0 and q = (π, π). Within this framework it then seems hard to account for the qualitative different behaviors seen at the C u and O sites in NMR experiments.…”

Section: Conclusion and Open Questionsmentioning

confidence: 99%

Spin correlations in the algebraic spin liquid: Implications for high-Tcsuperconductors

2002

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We propose that underdoped high Tc superconductors are described by an algebraic spin liquid (ASL) at high energies, which undergoes a spin-charge recombination transition at low energies. The spin correlation in the ASL is calculated via its effective theory -a system of massless Dirac fermions coupled to a U (1) gauge field. We find that without fine tuning any parameters the gauge interaction strongly enhances the staggered spin correlation even in the presence of a large single particle pseudo-gap. This allows us to show that the ASL plus spin-charge recombination picture can explain many highly unusual properties of underdoped high Tc superconductors.

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Section: Conclusion and Open Questionsmentioning

confidence: 99%

Spin correlations in the algebraic spin liquid: Implications for high-Tcsuperconductors

2002

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“…In this regime the correlation length (and 63 T 2G ) saturates. If z = 2, the damping frequency ω SF (and 63 T 1 T ) should saturate at zero temperature to a certain value, determined by the fermionic damping 13,14 . In case of the z = 1 σ-model, ω SF in the QD regime increases exponentially with decreasing temperature 6 .…”

Section: Experimental Phase Diagramsmentioning

confidence: 99%

“…(24), can be approached using a 1/N expansion technique. For N = ∞, the resulting magnetic susceptibility takes the form 13 :…”

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confidence: 99%

Magnetic scaling in cuprate superconductors

1995

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We determine the magnetic phase diagram for the YBa2Cu3O6+x and La2−xSrxCuO4 systems from various NMR experiments. We discuss the possible interpretation of NMR and neutron scattering experiments in these systems in terms of both the non-linear σ-model of nearly localized spins and a nearly antiferromagnetic Fermi liquid description of magnetically coupled quasiparticles. We show for both the 2:1:4 and 1:2:3 systems that bulk properties, such as the spin susceptibiltiy, and probes at the antiferromagnetic wavevector (π, π), such as 63 T1, the 63 Cu spin relaxation time, both display a crossover at a temperature Tcr, which increases linearly with decreasing hole concentration, from a non-universal regime to a z = 1 scaling regime characterized by spin pseudogap behavior. We pursue the consequences of the ansatz that Tcr corresponds to a fixed value of the antiferromagnetic correlation length, ξ, and show how this enables one to extract the magnitude and temperature dependence of ξ from measurements of T1 alone. We show that like Tcr, the temperature T * which marks a crossover at low temperatures from the z = 1 scaling regime to a quantum disordered regime, exhibits the same dependence on doping for the 2:1:4 and 1:2:3 systems, and so arrive at a unified description of magnetic behavior in the cuprates, in which the determining factor is the planar hole concentration. We apply our quantitative results for YBa2Cu3O7 to the recent neutron scattering experiments of Fong et al, and show that the spin excitation near 40meV measured by them corresponds to a spin gap excitation, which is overdamped in the normal state, but becomes visible in the superconducting state.

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“…At optimal doping, ARPES measurements of the Fermi surface yield δk max ∼ 0.2π/a ≈ 0.6/a [1,2]. The correlation length extracted from the NMR measurements [17] is ξ ∼ 1 − 2a. Then λ sf is reduced by at most a factor of 2 as one moves from hot spots to zone diagonal.…”

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ARPES in the normal state of the cuprates: Comparing the marginal Fermi-liquid and spin-fluctuation scenarios

Haslinger¹,

Abanov²,

Chubukov³

2002

Europhys. Lett.

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We address the issue whether ARPES measurements of the spectral function A k (ω) near the Fermi surface in the normal state of near optimally doped cuprates can distinguish between the marginal Fermi-liquid scenario and the spin-fluctuation scenario. We argue that the data for momenta near the Fermi surface are equally well described by both theories, but this agreement is nearly meaningless as in both cases one has to add to Σ (ω) a large constant of yet unknown origin. We show that the data can be well fitted by keeping only this constant term in the self-energy. To distinguish between the two scenarios, one has to analyze the data away from the Fermi surface, when the intrinsic piece in Σ(ω) becomes dominant.

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Quantum disordered regime and spin gap in the cuprate superconductors

Cited by 44 publications

References 38 publications

Spin correlations in the algebraic spin liquid: Implications for high-Tcsuperconductors

Spin correlations in the algebraic spin liquid: Implications for high-Tcsuperconductors

Magnetic scaling in cuprate superconductors

ARPES in the normal state of the cuprates: Comparing the marginal Fermi-liquid and spin-fluctuation scenarios

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