Quantum Oscillations in the Underdoped Cuprate<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>4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>8</mml:mn></mml:msub></mml:math>

Yelland, E. A.; Singleton, John; Mielke, C. H.; Harrison, N.; Balakirev, Fedor; Da̧browski, B.; Cooper, J. R.

doi:10.1103/physrevlett.100.047003

Cited by 293 publications

(366 citation statements)

References 35 publications

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“…(Online version in colour.) [14,15], and electron-doped Nd 2−x Ce x CuO 4 [23]. These are confined to very high magnetic fields, with significantly lower magneto-oscillation frequencies 300 F 600 T that correspond to a much smaller pocket area than the overdoped cuprates.…”

Section: (A) Orbital Quantizationmentioning

confidence: 99%

“…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%

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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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Section: (A) Orbital Quantizationmentioning

confidence: 99%

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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“…This is all the more puzzling because Fermi pockets (small closed Fermi surface features) have been suggested from recent quantum oscillation measurements [9,10,11,12,13,14]. The Fermi arcs have worried the high−T c community for many years because they cannot be understood in terms of existing theories.…”

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confidence: 99%

Coexistence of Fermi arcs and Fermi pockets in a high-Tc copper oxide superconductor

Meng

Liu

Zhang

et al. 2009

Nature

214

198

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1In the pseudogap state of the high−T c copper-oxide (cuprate) superconductors [1], angle-resolved photoemission (ARPES) measurements have seen an Fermi arc, i.e., an open-ended gapless section in the large Fermi surface [2,3,4,5,6,7,8], rather than a closed loop expected of an ordinary metal. This is all the more puzzling because Fermi pockets (small closed Fermi surface features) have been suggested from recent quantum oscillation measurements [9,10,11,12,13,14]. The Fermi arcs have worried the high−T c community for many years because they cannot be understood in terms of existing theories. Theorists came up with a way out in the form of conventional Fermi surface pockets associated with competing order, with a back side that is for detailed reasons invisible by photoemission [15]. Here we report ARPES measurements of La-Bi2201 that give direct evidence of the Fermi pocket.The charge carriers in the pocket are holes and the pockets show an unusual dependence upon doping, namely, they exist in underdoped but not overdoped samples. A big surprise is that these Fermi pockets appear to coexist with the Fermi arcs. This coexistence has not been expected theoretically and the understanding of the mysterious pseudogap state in the high-T c cuprate superconductors will rely critically on understanding such a new finding.The high resolution Fermi surface mapping (Fig. 1a) on the underdoped La-Bi2201 UD18K sample using VUV laser reveals three Fermi surface sheets with low spectral weight (labeled as LP, LS and LPS in Fig. 1a) in the covered momentum space, in addition to the prominent main Fermi surface (LM). One particular Fermi surface sheet LP crosses the main band LM, forming an enclosed loop, an Fermi pocket, near the nodal region. Quantitative Fermi surface data measured from both VUV laser (Fig. 2a) and Helium discharge lamp ( (Fig. 2a) and HP band observed in Helium lamp measurement (Fig. 2b) are intrinsic; they can not be attributed to any of the umklapp bands or shadow bands (Fig. 2c). The location of the three bands can be well connected by the same superlattice vector, indicating that the HP and LPS bands correspond to the first order umklapp bands of the main Fermi pocket LP. The shape 2 and area of the Fermi pockets are also consistent in these two independent measurements, making a convincing case on the presence of the Fermi pocket. We note that in both the laser (Fig. 2a) and Helium lamp (Fig. 2b and SFig. 2 in the Supplementary) measurements, all the observed bands except for the "Fermi pocket bands" can be assigned by only one regular superstructure wavevector (0.24,0.24). The presence of additional superstructure, which would give rise to new bands, appears to be unlikely because there is no indication of such additional bands observed in our measurements.The Fermi pocket is observed both in the normal state and superconducting state, as shown in Fig. 3 for the La-Bi2201 UD18K sample. Moreover, its location, shape and area show little change with temperature (Figs. 3a and 3f). Below T c , the openi...

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“…Despite the general consensus that the superconducting cuprate is metallic in the CuO 2 plane (ab-plane) but insulating in the direction perpendicular to the ab-plane (c-axis), which leads to a cylindrical Femi surface, recent quantum oscillations measurements of Y 1 Ba 2 Cu 3 O 6.5 [2] and Y 1 Ba 2 Cu 4 O 8 [3], which directly probe the free electrons (or holes) in the CuO 2 plane, found on the one hand that the area of the twodimensional (2D) Fermi surface is only 2 and 2.4 % of the total area of the Brillouin zone respectively, corresponding roughly to ~ 3 % of total doping-induced electrons when compared with the large Fermi surface observed in the over-doped regime [2]. On the other hand, the reported optical plasma frequency falls in the range of ~ 1.0 eV for all cuprates and is peculiarly insensitive to the doping levels ranging from underdoped to overdoped regimes [4].…”

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confidence: 99%

In-plane and out-of-plane plasma resonances in optimally doped La1.84Sr0.16CuO4

Kim¹,

Hor²,

Dong³

et al. 2013

Solid State Communications

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We addressed the inconsistency between the electron mass anisotropy ratios determined by the far-infrared experiments and DC conductivity measurements. By eliminating possible sources of error and increasing the sensitivity and resolution in the far-infrared reflectivity measurement on the single crystalline and on the polycrystalline La 1.84 Sr 0.16 CuO 4 , we have unambiguously identified that the source of the mass anisotropy problem is in the estimation of the free electron density involved in the charge transport and superconductivity. In this study we found that only 2.8 % of the total doping-induced charge density is itinerant at optimal doping.Our result not only resolves the mass anisotropy puzzle but also points to a novel electronic structure formed by the rest of the electrons that sets the stage for the high temperature superconductivity.

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Quantum Oscillations in the Underdoped CuprateYBa2Cu4O8

Cited by 293 publications

References 35 publications

Quantum oscillations in the high- T _c cuprates

Quantum oscillations in the high- T _c cuprates

Coexistence of Fermi arcs and Fermi pockets in a high-Tc copper oxide superconductor

In-plane and out-of-plane plasma resonances in optimally doped La1.84Sr0.16CuO4

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Quantum Oscillations in the Underdoped CuprateYBa2Cu4O8

Cited by 293 publications

References 35 publications

Quantum oscillations in the high- T c cuprates

Quantum oscillations in the high- T c cuprates

Coexistence of Fermi arcs and Fermi pockets in a high-Tc copper oxide superconductor

In-plane and out-of-plane plasma resonances in optimally doped La1.84Sr0.16CuO4

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Product

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Quantum oscillations in the high- T _c cuprates

Quantum oscillations in the high- T _c cuprates