Global Phase Diagram of the High-Tc Cuprates

Chen, Han-dong; Zhang, Shou‐Cheng

doi:10.1063/1.2178037

Cited by 3 publications

(4 citation statements)

References 72 publications

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“…As we all know, the T c of hole-doped cuprates has a dome-like shape as a function of hole concentration ranged from x ≈ 0.05 to 0.27, under this restriction, only seven 'magic numbers' (x =1/18, 1/16, 2/25, 1/9, 1/8, 2/9 and 1/4) are possible in the cuprate family. Clearly, our conclusions are different from those drawn from other theories which suggest an infinite number of magic doping fractions in the superconductors [4,5].…”

Section: Checkerboard and Magic Dopingcontrasting

confidence: 99%

“…It is worth noting that all the available experimental data of the 'magic numbers' are included in our theory. However, for exactly the same question, two researcher groups [4,5] have derived two totally different expressions indicating 'infinite magic numbers' in the p-type superconductors, while at the same time some typically 'magic numbers' (such as 1/9 and 1/18) have been excluded from their expressions. Hence, it is reasonable to argue that they may also be on the wrong track.…”

Section: Checkerboard and Magic Dopingmentioning

confidence: 99%

“…Great efforts have been made to determine these 'magic numbers'. The SO (5) theory predicts a series of magic doping fractions at x = (2m + 1)/2 n , where m and n are integers [4], while Feng et al [5] obtained a single-parameter expression as x = (2+n 2 −4n)/n 2 , where n = 4, 5, 6, • • • . These interpretations imply the possibility of an infinite magic doping fractions in p-type cuprate superconductors, which is obviously inconsistent with the experimental facts.…”

mentioning

confidence: 99%

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Magic doping: From the localized hole-pair to the checkerboard patterns

Huang

2010

Preprint

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Intensive experiments have revealed that the superconductivity of the hole-doped cuprates can be strongly suppressed at the so-called magic doping fractions. Despite great research efforts, the origin of the 'magic doping' remains mysterious. Recently, we have developed a real-space theory of high-temperature superconductivity which reveals the intrinsic relationship between the localized Cooper pair and the localized hole pair (arXiv:1007.3536). Here we report that the theory can naturally explain the emergence of non-superconducting checkerboard phases and the magic doping problem in hole-doped cuprate superconductors. It clearly shows that there exist only seven 'magic numbers' in the cuprate family at x =1/18, 1/16, 2/25, 1/9, 1/8, 2/9 and 1/4 with 6a × 6a, 4a × 4a, 5a × 5a, 3a × 3a, 4a × 4a, 3a × 3a, and 2a × 2a checkerboard patterns, respectively. Moreover, our framework leads directly to a satisfactory explanation of the most recent discovery [M. J. Lawler, et al. Nature 466, 347 (2010)] of the symmetries broken within each copper-oxide unit in hole-doped cuprate superconductors. These findings may shed new light on the mechanism of superconductivity.

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Section: Checkerboard and Magic Dopingcontrasting

confidence: 99%

Section: Checkerboard and Magic Dopingmentioning

confidence: 99%

mentioning

confidence: 99%

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Magic doping: From the localized hole-pair to the checkerboard patterns

Huang

2010

Preprint

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“…17,[23][24][25][26][27] At V =0, the doped regions of the stripes have nonzero SC amplitude at the mean-field level. 28 In view of the dramatically different behavior along Paths 1 and 2, we conclude that in our model there is no unique AF→SC path. This is in agreement with experiments since La 2−x Sr x CuO 4 (LSCO) and others have stripes, 1, 2, 29 while Ca 2−x Na x CuO 2 Cl 2 has a more complex inhomogeneous pattern.…”

Section: Model I: Itinerant Fermionsmentioning

confidence: 87%

Complexity in transition metal oxides

2005

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The competition of antiferromagnetic and d-wave superconductivity order parameters in cuprates is studied within a phenomenological model. An unbiased numerical analysis is carried out. The results suggest that the transition from the antiferromagnetic to the superconducting region is not universal. When disorder is present, a glassy state forms leading to the possibility of "colossal" effects in some cuprates, analog of those in other transition metal oxides, in particular manganites. Non-superconducting Cu-oxides could rapidly become superconducting by the influence of weak perturbations. Consequences of this mechanism for thin-film and angleresolved photoemission experiments are discussed. In addition, a recent study of the strong-coupling region in d-wave superconductors with a numerically exact technique is briefly reviewed.

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A new sparse design method on phased array-based acoustic emission sensor for partial discharge detection

Xie¹,

Cheng²,

Lü³

et al. 2014

Meas. Sci. Technol.

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The acoustic detecting performance of a partial discharge (PD) ultrasonic sensor array can be improved by increasing the number of array elements. However, it will increase the complexity and cost of the PD detection system. Therefore, a sparse sensor with an optimization design can be chosen to ensure good acoustic performance. In this paper, first, a quantitative method is proposed for evaluating the acoustic performance of a square PD ultrasonic array sensor. Second, a method of sparse design is presented to combine the evaluation method with the chaotic monkey algorithm. Third, an optimal sparse structure of a 3 × 3 square PD ultrasonic array sensor is deduced. It is found that, under different sparseness and sparse structure, the main beam width of the directivity function shows a small variation, while the sidelobe amplitude shows a bigger variation. For a specific sparseness, the acoustic performance under the optimal sparse structure is close to that using a full array. Finally, some simulations based on the above method show that, for certain sparseness, the sensor with the optimal sparse structure exhibits superior positioning accuracy compared to that with a stochastic one. The sensor array structure may be chosen according to the actual requirements for an actual engineering application.

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Global Phase Diagram of the High-Tc Cuprates

Cited by 3 publications

References 72 publications

Magic doping: From the localized hole-pair to the checkerboard patterns

Magic doping: From the localized hole-pair to the checkerboard patterns

Complexity in transition metal oxides

A new sparse design method on phased array-based acoustic emission sensor for partial discharge detection

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