Ong construction for the reconstructed Fermi surface of underdoped cuprates

Robinson, P.C.; Hussey, N. E.

doi:10.1103/physrevb.92.220501

Cited by 7 publications

(12 citation statements)

References 40 publications

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“…However, even if Fermi liquid and Boltzmann transport theory are valid, it is not clear that the conventional interpretation is necessarily correct, as we demonstrate in this paper. Our result, along with previous work [10,11], raises the possibility that the small pocket that exists at lower doping persists all the way to p = 0.19 (presumably along with the CDW order), but nevertheless has a sign change of its measured Hall effect. It remains to be seen if this is what actually happens in YBCO, or if another state, such as those discussed in the previous paragraph, is realized.…”

Section: Introductionsupporting

confidence: 85%

Theory of anomalous magnetotransport from mass anisotropy

Zou¹,

Lederer²,

Senthil³

2017

Phys. Rev. B

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In underdoped YBa 2 Cu 3 O 6+x , there is evidence of a small Fermi surface pocket subject to substantial mass enhancement in the doping regime 0.12 < p < 0.16. This mass enhancement may vary substantially over the Fermi surface, due to "hot spot" or other relevant physics. We therefore examine the magnetotransport of an electronlike Fermi pocket with large effective mass anisotropy. Within the relaxation time approximation, we show that even for a pocket with a fixed shape, the magnitude and sign of the Hall effect may change as the mass anisotropy changes (except at very large, likely inaccessible magnetic fields). We discuss implications for recent Hall measurements in near optimally doped cuprates in high fields. In addition we identify a novel intermediate asymptotic regime of magnetic field, characterized by B-linear magnetoresistance. Similar phenomena should occur in a variety of other experimental systems with anisotropic mass enhancement.

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Section: Introductionsupporting

confidence: 85%

Theory of anomalous magnetotransport from mass anisotropy

Zou¹,

Lederer²,

Senthil³

2017

Phys. Rev. B

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“…1c). Deep in the overdoped regime at hole dopings p 0.20, Hall effect, 10 magnetic quantum oscillation 11 and angle-dependent magnetoresistance oscillation 53 measurements are all found to be consistent with the large Fermi surface. Deep in the underdoped regime at very low hole dopings, p 0.08, meanwhile, Hall effect measurements 13 are found to be consistent with the small Fermi surface.…”

Section: Introductionmentioning

confidence: 78%

“…b , has been shown account for a large body of experimental data relating to the reconstructed Fermi surface within the pseudogap regime. [25][26][27][28][29][30][31][32][33] This data includes the small Fermi surface cross-sectional area found in quantum oscillation experiments, [34][35][36][37] the negative value of the Hall coefficient at high magnetic fields 15,16 and the small value of the electronic heat capacity at high magnetic fields. 38,39 It has continued to remain unclear, however, as to whether it is a large starting Fermi surface (like that in Fig.…”

Section: Introductionmentioning

confidence: 99%

Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors

Harrison

2016

Phys. Rev. B

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We bring resolution to the longstanding problem relating Fermi surface reconstruction to the number of holes contained within the Fermi surface volume in underdoped high Tc superconductors. On considering uniaxial and biaxial charge-density wave order, we show that there exists a relationship between the ordering wave vector, the hole doping and the cross-sectional area of the reconstructed Fermi surface whose precise form depends on the volume of the starting Fermi surface. We consider a 'large' starting Fermi surface comprising 1 + p hole carriers, as predicted by band structure calculations, and a 'small' starting Fermi surface comprising p hole carriers, as proposed in models in which the Coulomb repulsion remains the dominant energy. Using the reconstructed Fermi surface cross-sectional area obtained in quantum oscillation experiments in YBa2Cu3O6+x and HgBa2CuO4+x and the established methods for estimating the chemical hole doping, we find the ordering vectors obtained from x-ray scattering measurements to show a close correspondence with those expected for the small starting Fermi surface. We therefore show the Coulomb repulsion to remain largely unscreened throughout the entire underdoped regime where the pseudogap exists and further show that the quantum oscillation frequency and charge-density wave vectors provide accurate estimates for the number of holes contributing to the Fermi surface volume.

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“…This scenario can explain the factor of five discrepancy between the expected value of the KWR ratio and the experimental one (assuming a single electron pocket) but the anisotropy needs to be abnormally strong and would need to increase with doping in order to explain the behavior of the effective mass deduced from quantum oscillations 61 . Similar considerations would also apply if the scattering rate Γ, rather than the effective mass, were strongly anisotropic 63 . The picture of underdoped cuprates now emerging from X-ray spectroscopy, is of a lengthening of the correlation length ξ associated with the charge ordering with increased field strength 15,16 , in agreement with NMR and thermodynamic measurements.…”

Section: Alternative Scenariosmentioning

confidence: 89%

Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa ₂ Cu ₄ O ₈

Proust

Vignolle

Levallois

et al. 2016

Proc. Natl. Acad. Sci. U.S.A.

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Our knowledge of the ground state of underdoped hole-doped cuprates has evolved considerably over the last few years. There is now compelling evidence that, inside the pseudogap phase, charge order breaks translational symmetry leading to a reconstructed Fermi surface made of small pockets. Quantum oscillations [DoironLeyraud N, et al. (2007) Nature 447(7144):565-568], optical conductivity [Mirzaei SI, et al. (2013) Proc Natl Acad Sci USA 110(15): [5774][5775][5776][5777][5778], and the validity of Wiedemann-Franz law [Grissonnache G, et al. (2016) Phys Rev B 93:064513] point to a Fermi liquid regime at low temperature in the underdoped regime. However, the observation of a quadratic temperature dependence in the electrical resistivity at low temperatures, the hallmark of a Fermi liquid regime, is still missing. Here, we report magnetoresistance measurements in the magnetic-field-induced normal state of underdoped YBa 2 Cu 4 O 8 that are consistent with a T 2 resistivity extending down to 1.5 K. The magnitude of the T 2 coefficient, however, is much smaller than expected for a single pocket of the mass and size observed in quantum oscillations, implying that the reconstructed Fermi surface must consist of at least one additional pocket. , for example, shows a purely quadratic resistivity below ∼50 K (2). Below a critical doping p SC where superconductivity sets in, ρ ab (T) exhibits supralinear behavior that can be modeled either as ρ ab ∼ T + T 2 or as T n (1 < n < 2). When a magnetic field is applied to suppress superconductivity on the overdoped side, the limiting low-T behavior is found to be T linear (3-5). Optimally doped cuprates are characterized by a linear resistivity for all T > T c , although the slope often extrapolates to a negative intercept, suggesting that, at the lowest temperatures, ρ ab (T) contains a component with an exponent larger than 1 (1). In the underdoped regime, ρ ab (T) varies approximately linearly with temperature at high T, but as the temperature is lowered below the pseudogap temperature T*, it deviates from linearity in a very gradual way (6). At lower temperatures, marked by the light blue area in Fig. 1, there is now compelling evidence from various experimental probes of incipient charge order (7-11). High-field NMR (12, 13) and ultrasonic (14) measurements indicate that a phase transition occurs below T c . This is also confirmed by recent high-field X-ray measurements that indicate that the charge density wave (CDW) order becomes tridimensional with a coherence length that increases with increasing magnetic field strength (15,16). This leads to a Fermi surface (FS) reconstruction that can be reconciled with quantum oscillations (QOs) (17, 18) as well as with the sign change of the Hall (19) and Seebeck (20) coefficients. Whether the charge order is biaxial (21) or uniaxial with orthogonal domains (22) is still an open issue, but a FS reconstruction involving two perpendicular wavevectors leads to at least one electron pocket in the nodal region of the Brillouin zone (23)...

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Ong construction for the reconstructed Fermi surface of underdoped cuprates

Cited by 7 publications

References 40 publications

Theory of anomalous magnetotransport from mass anisotropy

Theory of anomalous magnetotransport from mass anisotropy

Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors

Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa ₂ Cu ₄ O ₈

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Ong construction for the reconstructed Fermi surface of underdoped cuprates

Cited by 7 publications

References 40 publications

Theory of anomalous magnetotransport from mass anisotropy

Theory of anomalous magnetotransport from mass anisotropy

Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors

Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa 2 Cu 4 O 8

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Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa ₂ Cu ₄ O ₈