A detailed de Haas–van Alphen effect study of the overdoped cuprate Tl2Ba2CuO6+δ

Rourke, P. M. C.; Bangura, A. F.; Benseman, Timothy; Matusiak, Marcin; Cooper, J. R.; Carrington, A.; Hussey, N. E.

doi:10.1088/1367-2630/12/10/105009

Cited by 57 publications

(82 citation statements)

References 62 publications

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“…Experimentally, the variation of T C with doping is approximate, owing to inhomogeneities and indistinct T C observed for materials with T C < T C0 , and dependence on CuO 2 doping evidently does not follow a universal function [13]. Overdoped Tl 2 Ba 2 CuO 6+δ presents a particularly interesting case for theoretical consideration, because it exhibits superconductivity coexisting with a complete Fermi surface [13], yet also a linear-T term in the resistivity and temperature-dependent Hall coefficient at low temperature [56].…”

Section: Value Of σ 0 and Quantum Critical Pointsmentioning

confidence: 94%

“…Numerous rationales exist for basing high-T C theory on electronic (i.e., non-lattice) pairing mechanisms [12], e.g., included in deductions from the quantum oscillations observed in overdoped Tl 2 Ba 2 CuO 6+δ [13]. Theoretical treatments of high-T C superconductivity focusing on temperature vs. doping phase diagrams are noted for being preferentially centered on the CuO 2 layers, considered either individually or in ensembles, and for viewing type I structures solely as vehicles for supplying doping charges to cuprate planes [12,14,15].…”

Section: Introductionmentioning

confidence: 99%

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Superconducting interaction charge in thallium-based high-TC cuprates: Roles of cation oxidation state and electronegativity

Harshman

Fiory

2015

Journal of Physics and Chemistry of Solids

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Superconductivity in the Tl-based cuprates encompasses a notably broad range of measured optimal transition temperatures T C0 , ranging from lowest in the charge-depleted Tl-1201 compounds (Tl 1-x (Ba/Sr) 1+y La 1-y CuO 5-δ ), such as Tl 0.7 LaSrCuO 5 (37 K) and TlBa 1.2 La 0.8 CuO 5 (45.4 K), to highest in the Tl-1223 compound TlBa 2 Ca 2 Cu 3 O 9±δ (133.5 K). Seven Tl-based cuprates are considered and compared using the model of superconductive pairing via electronic interactions between two physically separated charge reservoirs, whereis determined by the superconducting interaction charge fraction σ, the number η of CuO 2 layers, and the basal-plane area A, each per formula unit, and the transverse distance ζ between interacting layers. Herein it is demonstrated that σ follows from the elemental electronegativity and the oxidation state of Tl, and other structurally analogous cations. The comparatively lower elemental electronegativity of Tl, in conjunction with its oxidation state, explains the higher σ and T C0 values in the Tl-based compounds relative to their Bi-based cuprate homologues. A derivation of σ is introduced for the optimal Tl 2 Ba 2 Ca η-1 Cu η O 2η+4 (for η = 1, 2, 3) compounds, which exhibit a Tl oxidation state at or near +3, obtaining the fundamental value σ 0 = 0.228 previously established for YBa 2 Cu 3 O 6.92 . Also reported is the marked enhancement in σ associated with Tl +1 and analogous inner-layer cations relative to higher-valence cations. For a model proposition of σ = σ 0 , the fractional Tl +1 content of the mixed-valence compound, TlBa 2 Ca 2 Cu 3 O 9±δ , is predicted to be 1/3 at optimization, in agreement with existing data. Charge depletion is illustrated for the two Tl-1201 compounds, where σ < σ 0 values are determined according to substitution of Ba , and/or Tl depletion. Additionally, statistical analysis of calculated and experimental transition temperatures of 48 optimal superconductors shows an absence of bias in determining σ, A, and ζ.

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Section: Value Of σ 0 and Quantum Critical Pointsmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Superconducting interaction charge in thallium-based high-TC cuprates: Roles of cation oxidation state and electronegativity

Harshman

Fiory

2015

Journal of Physics and Chemistry of Solids

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“…The alternative is to fit the data to a series of appropriate geometrical harmonics. This latter approach works well when the Fermi surface is relatively simple and only has small deviations from a sphere or a two dimensional tube and only a small number of harmonics are required (for example, SrRu 2 O 4 [27] or Tl 2 Ba 2 CuO 6+δ [28,29]). …”

Section: Lafepomentioning

confidence: 99%

“…This type of distortion has been described as resembling a snake that has swallowed a chain [27]. Exactly half way up the zone, this odd symmetry cos ck z sin 2φ term (k 2,1 in the notation of a cylindrical harmonic expansion [27,29]) is zero, and the shape is closest to circular (even symmetry cosine distortion terms remain) (see Fig. 9).…”

Section: Lafepo Bafementioning

confidence: 99%

Quantum oscillation studies of the Fermi surface of iron-pnictide superconductors

Carrington

2011

Rep. Prog. Phys.

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Abstract. This paper reviews quantum oscillation studies of iron-pnictide superconductors and related materials. These measurements give unique information regarding the full three dimensional topology of the Fermi surfaces and the renormalisation of the quasi-particle masses. The review will cover measurements of the 122 arsenide end members, XFe 2 As 2 (X = Ba, Sr, Ca) which have a spin density wave ground state, but will concentrate on the phosphide end members (LaFePO and XFe 2 P 2 ) which have a paramagnetic ground state and a Fermi surface topology which is similar to the higher T c superconducting iron-pnictides. All three of the 122 phosphides become superconducting when P is partially substituted by As, and for the BaFe 2 (As 1−x P x ) 2 series de Haas-van Alphen oscillations are observable for 0.42 ≤ x ≤ 1 with T c up to 25 K. The results show the changes in the Fermi surface topology and the increase in the mass renormalisation as the correlations which induce superconductivity develop.

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“…The bismuth-and thallium-based high-T c superconductors have attracted extensive interest of researchers due to unique metal [1] and heat transportation [2,3], ferromagnetism [4], temperature-dependent resistivity [5], quantum resistive behaviours [6], and the quantum oscillation effect [7,8]. Meanwhile, the Knight shifts of 63 Cu 2+ of nuclear magnetic resonance (NMR) experiments in heavily strontium-or barium-doped bismuth-and thallium-based high-T c superconductors can yield important information about the local environments and electronic distribution in the copperoxygen planes.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Investigations of the Knight Shifts and the Hyperfine Structure Constants for the Tetragonal Cu²⁺ Sites in the Bismuth- and Thallium-Based High-T_c Superconductors

Kuang

et al. 2013

Zeitschrift Für Naturforschung A

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The Knight shifts and hyperfine structure constants for the tetragonal Cu 2+ sites in bismuthand thallium-based high-T c superconductors ( Bi 1.6 Pb 0.4 Sr 2 Ca 2 Cu 3 O 10 , TlSr 2 CaCu 2 O 7−y , and Tl 2 Ba 2 CuO y ) are theoretically investigated from the high-order perturbation formulas of these parameters for a 3d 9 ion under tetragonally elongated octahedra in a unified way. The calculation results show good agreement with the observed values. The significant anisotropies of the Knight shifts are attributed to the local tetragonal elongation distortions of the five-(or six-)coordinated Cu 2+ sites in these systems. The present studies would be beneficial to establish a complete physical scheme for unified understandings of electron paramagnetic resonance (EPR) and nuclear magnetic resonance (NMR) spectral behaviours of Cu 2+ (or other similar 3d 9 ions) in the high-T c superconductors.

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A detailed de Haas–van Alphen effect study of the overdoped cuprate Tl₂Ba₂CuO_6+δ

Cited by 57 publications

References 62 publications

Superconducting interaction charge in thallium-based high-TC cuprates: Roles of cation oxidation state and electronegativity

Superconducting interaction charge in thallium-based high-TC cuprates: Roles of cation oxidation state and electronegativity

Quantum oscillation studies of the Fermi surface of iron-pnictide superconductors

Theoretical Investigations of the Knight Shifts and the Hyperfine Structure Constants for the Tetragonal Cu²⁺ Sites in the Bismuth- and Thallium-Based High-T_c Superconductors

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A detailed de Haas–van Alphen effect study of the overdoped cuprate Tl2Ba2CuO6+δ

Cited by 57 publications

References 62 publications

Superconducting interaction charge in thallium-based high-TC cuprates: Roles of cation oxidation state and electronegativity

Superconducting interaction charge in thallium-based high-TC cuprates: Roles of cation oxidation state and electronegativity

Quantum oscillation studies of the Fermi surface of iron-pnictide superconductors

Theoretical Investigations of the Knight Shifts and the Hyperfine Structure Constants for the Tetragonal Cu2+ Sites in the Bismuth- and Thallium-Based High-Tc Superconductors

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A detailed de Haas–van Alphen effect study of the overdoped cuprate Tl₂Ba₂CuO_6+δ

Theoretical Investigations of the Knight Shifts and the Hyperfine Structure Constants for the Tetragonal Cu²⁺ Sites in the Bismuth- and Thallium-Based High-T_c Superconductors