de Haas–van Alphen Oscillations in the Underdoped High-Temperature Superconductor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>YBa</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Cu</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>6.5</mml:mn></mml:msub></mml:math>

Jaudet, Cyril; Vignolles, David; Audouard, Alain; Levallois, Julien; LeBoeuf, David; Doiron-Leyraud, N.; Vignolle, Baptiste; Nardone, Marc; Zitouni, Abdelkrim; Liang, Ruixing; Bonn, D. A.; Hardy, W. N.; Taillefer, Louis; Proust, Cyril

doi:10.1103/physrevlett.100.187005

Cited by 171 publications

(211 citation statements)

References 30 publications

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“…(c) Dingle analysis, performed on a linear-log plot of the fundamental oscillations in contactless resistivity (denoted by solid circles, determined from the oscillation maxima and minima after dividing out R T,1 ) at θ = 38° up to fields of 85 T, plotted versus 1/B. The 1/B = 0 intercept obtained by fitting a straight line (purple) to this plot yields ρ 0 = 1.6(5)×10 5 Hz in the units of PDo measurements. harmonic (Fig.…”

Section: Discussionmentioning

confidence: 99%

“…A lthough high-T c cuprate superconductors have a history spanning a quarter of a century 1,2 , quantum oscillations in these materials have only been measured as recently as a few years ago [3][4][5][6][7][8][9][10][11][12] , by employing high magnetic fields to weaken superconductivity. Interestingly, their advent has signalled a reevaluation of the electronic structure in the normal state of the underdoped cuprates.…”

mentioning

confidence: 99%

“…Against this backdrop of contradictory scenarios, an unambiguous interpretation of quantum oscillation results in terms of momentum space location, charge carrier type, and single or multiple surfaces in the case of the underdoped cuprates has remained elusive [3][4][5][6][7][8][9][10] . Quantum oscillations in the case of a fixed chemical potential cannot discern the sign of charge carriers or whether there are single or multiple types of charge carrier present 17 , causing recourse, thus far, to less direct probes such as the Hall effect and thermopower, and calculations of the electronic structure to infer a nodal-antinodal Fermi surface 4,9,[18][19][20] .…”

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confidence: 99%

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Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Sebastian¹,

Harrison²,

Altarawneh³

et al. 2011

Nat Commun

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The electronic structure of the normal state of the underdoped cuprates has thus far remained mysterious, with neither the momentum space location nor the charge carrier type of constituent small Fermi surface pockets being resolved. Whereas quantum oscillations have been interpreted in terms of a nodal-antinodal Fermi surface including electrons at the antinodes, photoemission indicates a solely nodal density-of-states at the Fermi level. Here we examine both these possibilities using extended quantum oscillation measurements. second harmonic quantum oscillations in underdoped YBa 2 Cu 3 o 6 + x are shown to arise chiefly from oscillations in the chemical potential. We show from the relationship between the phase and amplitude of the second harmonic with that of the fundamental quantum oscillations that there exists a single carrier Fermi surface pocket, likely located at the nodal region of the Brillouin zone, with the observed multiple frequencies arising from warping, bilayer splitting and magnetic breakdown.

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Section: Discussionmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Sebastian¹,

Harrison²,

Altarawneh³

et al. 2011

Nat Commun

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“…The unconventional behaviour of various physical properties such as transport coefficients, photoemission spectra, optical conductivity and heat capacity contribution in the underdoped region has been widely interpreted in the light of the proximity to the Mott insulating parent material as evidence for a breakdown of the fermionic quasi-particle concept [3][4][5][6][7][8][9][10][11][12]. With the recent surprising observation of quantum oscillations at low temperatures and high magnetic fields, our understanding of the physics underlying the underdoped cuprates has begun to undergo a re-examination [13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The observation of well-defined quasi-particles with fermionic properties is *Author for correspondence (ses59@cam.ac.uk).…”

Section: Introductionmentioning

confidence: 99%

Quantum oscillations in the high- T _c cuprates

Sebastian

Harrison

Lonzarich

2011

Phil. Trans. R. Soc. A.

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We review recent progress in the study of quantum oscillations as a tool for uniquely probing low-energy electronic excitations in high-T c cuprate superconductors. Quantum oscillations in the underdoped cuprates reveal that a close correspondence with Landau Fermi-liquid behaviour persists in the accessed regions of the phase diagram, where small pockets are observed. Quantum oscillation results are viewed in the context of momentum-resolved probes such as photoemission, and evidence examined from complementary experiments for potential explanations for the transformation from a large Fermi surface into small sections. Indications from quantum oscillation measurements of a low-energy Fermi surface instability at low dopings under the superconducting dome at the metal-insulator transition are reviewed, and potential implications for enhanced superconducting temperatures are discussed.

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“…The crucial, recent observation of high field quantum oscillations [26,27,28,29,30,31,32,33] lead us to identify their small Fermi pockets with those of the normal phase region for x < x m in the x,H plane.…”

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confidence: 99%

Quantum criticality and the phase diagram of the cuprates

Sachdev

2010

Physica C: Superconductivity and its Applications

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I discuss a proposed phase diagram of the cuprate superconductors as a function of temperature, carrier concentration, and a strong magnetic field perpendicular to the layers. I show how the phase diagram gives a unified interpretation of a number of recent experiments. Superconductivity, Tokyo, Sep 7-12, 2009 Keynote talk, 9th International Conference on Materials and Mechanisms of H c2Figure 1: Proposed phase diagram of the cuprates showing the interplay between superconductivity (SC), spin density wave (SDW) order, and Fermi surface configuration as a function of carrier density (x), temperature (T ), and magnetic field (H) perpendicular to the layers. Full lines are thermal or quantum phase transitions, dashed lines are crossovers, and dotted lines are guides to the eye. The phase transitions associated with valence bond solid (VBS) (or "charge") and nematic order are not shown. The superconducting regions are colored pink. We have assumed the absence of interlayer coupling, and so the SDW order is long-ranged only at T = 0: it is present in the regions labeled "SDW" and on the thick orange line for x < x s . In the blue normal regions, the 'pseudogap' is between T c and T * , the 'Strange Metal' has an in-plane resistivity which is measured to be linear in T , and the "Large Fermi surface" has a conventional T 2 resistivity.This brief note contains a summary of the key aspects of the proposed phase diagram of the cuprate superconductors shown in Fig. 1, and the central role played by ideas of quantum criticality. A more detailed discussion can be found in another recent review by the author [1], which also contains more complete citations to the literature. Here, I will focus on the central physical ideas and highlight support from recent experiments.The phase transitions and crossovers in Fig. 1 appear quite intricate. However, they can be understood simply by focusing first on the quantum critical point (QCP) at doping density, x = x m , temperature T = 0, magnetic field H = 0. As indicated in Fig. 1, this quantum critical point is pre-empted by the onset of superconductivity.The QCP at x = x m is a transition between two metallic (hence the subscript m) Fermi liquid phases. At x > x m we have the full symmetry of the square lattice, and a "large" Fermi surface metal consisting of a hole-like Fermi surface enclosing the area 1 + x expected from the Luttinger theorem (this is for hole doping; with electron doping, x, the area enclosed is 1 − x). At x < x m we have the onset of spin density wave (SDW) order, and this breaks apart the large Fermi surface into "small" Fermi pockets. Nevertheless the Luttinger theorem continues to be obeyed, after accounting for the large unit cell created by the SDW order. The ultimate theory of this quantum critical point is not fully understood, despite much theoretical attention [2].Strong evidence for the QCP at x = x m , and its associated T > 0 crossovers comes from recent experiments on Nd-LSCO [3,4]. They detected the crossover between "Strange Metal" and "Fl...

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de Haas–van Alphen Oscillations in the Underdoped High-Temperature SuperconductorYBa2Cu3O6.5

Cited by 171 publications

References 30 publications

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Quantum oscillations in the high- T _c cuprates

Quantum criticality and the phase diagram of the cuprates

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de Haas–van Alphen Oscillations in the Underdoped High-Temperature SuperconductorYBa2Cu3O6.5

Cited by 171 publications

References 30 publications

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Chemical potential oscillations from nodal Fermi surface pocket in the underdoped high-temperature superconductor YBa2Cu3O6+x

Quantum oscillations in the high- T c cuprates

Quantum criticality and the phase diagram of the cuprates

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Quantum oscillations in the high- T _c cuprates