Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor 
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Collignon, Clément; Badoux, S.; Afshar, S. A. A.; Michon, B.; Laliberté, F.; Cyr-Choinière, O.; Zhou, Jianshi; Licciardello, S.; Wiedmann, Steffen; Doiron-Leyraud, N.; Taillefer, Louis

doi:10.1103/physrevb.95.224517

Cited by 112 publications

(253 citation statements)

References 52 publications

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“…In these latter studies, the Hall number decreases at higher doping (i.e. n H is peaked at p ), while more recent studies of LSCO and LNSCO [10,11] have inferred that n H saturates at a value n H ∼ (1 + p) for p > p . (These observations are yet to be reconciled.…”

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confidence: 98%

“…In these latter studies, the Hall number decreases at higher doping (i.e. n H is peaked at p ), while more recent studies of LSCO and LNSCO[10,11] Chambers' Formula.-We compute the magnetotransport using Chambers' expression for the conductivity tensor [15,16]. This is a formally exact integral solution to the Boltzmann equation in the relaxation time approximation, correct to all orders in B.…”

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confidence: 99%

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Hall number across a van Hove singularity

et al. 2017

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In the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number, nH , of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We find a universal non-analytic dependence of nH on the electron density in the high field limit, but a non-singular dependence at low fields. The existence of an assumed nematic transition produces a doping dependent nH similar to that observed in recent experiments in the high temperature superconductor YBa2Cu3O7−x.Introduction.-In the absence of superconductivity or exotic fractionalized phases, the low energy elementary excitations of a conducting system are typically the well-known quasiparticles of Fermi liquid theory. In sufficiently clean systems, much about the character of these excitations, and in particular, information concerning the geometry and topology of the Fermi surface, can be inferred most sensitively from transport experiments. Specifically, in many circumstances, the Hall number, n H ≡ (B/e)(1/ρ xy ), in the T → 0 limit can give information about the volume (area in 2D) enclosed by the Fermi surface. [1,2]. From this, one may extract insight concerning the existence of a putative broken symmetry state that "reconstructs" the Fermi surface. For example, density wave order that breaks translational symmetry, changes not only the topology of the Fermi surface, but the volume enclosed as well. In contrast, the constraints of Luttinger's theorem seemingly imply that Fermi surface changes produced by translation symmetry preserving orders, such as Ising nematic order, will be invisible to a measurement of the Hall number.There are, however, important caveats to using the Hall number as a proxy for the electron density of a metal. In the absence of Galilean invariance, it is only the B → ∞ limit of the Hall number that corresponds to the carrier density [2]. The B → 0 limit of the Hall number is sensitive to the momentum dependence of the Fermi velocity, and is related in a complicated way [3] to the dominant scattering processes and curvature of the Fermi surface. For open Fermi surfaces, the Hall number is in general a non-universal quantity, and is not related to the density in any simple fashion in either the strong or weak field limit. In fact, little is known about the critical behavior of the Hall number at the topological Lifshitz phase transition between open and closed Fermi surfaces. While there is intuitively no reason to expect singular behavior in the limit B → 0, since the Fermi surface is locally unchanged across the van Hove singularity, there is every reason to expect singular behavior at high fields, where quasiparticles exhibit many cyclotron orbits before being scattered, and so are sensitive to the global topology of the Fermi surface.In this Letter, we address these issues via exact solution of the Boltzmann equation in the relaxation time approximation for a two dimensional nearest-neighbor tight binding model, and by numerical solution of mode...

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Hall number across a van Hove singularity

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“…In the experiments p * practically coincides with van Hove filling in Nd-LSCO, and n H is nevertheless only slightly above 1 + p for p near p * . 4 A drop by a factor p/(1 + p) in a narrow doping range below p * has also been observed for the longitudinal conductivity in Nd-LSCO. 4 This drop corresponds to the expectation based on a Drude formula for the conductivity only if the scattering rate and the effective electron mass remain constant while the charge carrier concentration drops from 1 + p to p. The drop of σ xx below p * obtained from our calculation for LSCO parameters is less pronounced (see Fig.…”

Section: Comparison To Experimentsmentioning

confidence: 65%

“…The onset of the drop at p * = 0.21 in our zero temperature extrapolation for LSCO is slightly above the experimental value 0.18 for LSCO, 3 but below the value 0.23 observed for Nd-LSCO. 4 Why the observed p * differs so much between LSCO and Nd-LSCO is unclear. For YBCO we obtain p * = 0.15 while the charge carrier drop seen in experiment starts at p * = 0.19.…”

Section: Comparison To Experimentsmentioning

confidence: 99%

Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model

et al. 2020

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We show that antiferromagnetic spin-density wave order in the two-dimensional Hubbard model yields a drop of the charge carrier density as observed in recent transport measurements for cuprate superconductors in high magnetic fields upon entering the pseudogap regime. The amplitude and the (generally incommensurate) wave vector of the spin-density wave is obtained from dynamical meanfield theory (DMFT). An extrapolation of the finite temperature results to zero temperature yields an approximately linear doping dependence of the magnetic gap ∆(p) ∝ p * − p in a broad doping range below the critical doping p * . The magnetic order leads to a Fermi surface reconstruction with electron and hole pockets, where electron pockets exist only in a restricted doping range below p * . DC charge transport properties are computed by combining the renormalized band structure as obtained from the DMFT with a doping-independent phenomenological scattering rate. A pronounced drop of the longitudinal conductivity and the Hall number in a narrow doping range below p * is obtained. arXiv:2002.02786v1 [cond-mat.str-el]

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“…This question is experimentally studied in detail in the Ref. [8] for La 1.6 − x Nd 0.4 Sr x CuO 4 copper-oxide. However, the origin of Fermi pockets and what is origin of their evolution with doping has still not been adequately explained in the literature.…”

Section: Introductionmentioning

confidence: 99%

Normal state pair nematicity and hidden magnetic order and metal-insulator (fermionboson) crossover origin of pseudogap phase of cuprates II

Abdullaev¹,

Abdullaev²,

Park³

et al. 2017

Nanosystems: Phys. Chem. Math.

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In the present paper II, we will gain an understanding of the nematicity, insulating ground state (IGS), nematicity to stripe phase transition, Fermi pockets evolution, and resistivity temperature upturn, as to be metal -insulator (fermion-boson)-crossover (MIC) phenomena for the pseudogap (PG) region of cuprates. While in the paper I [Abdullaev B., et al. arXiv:cond-mat/0703290], we obtained an understanding of the observed heat conductivity downturn, anomalous Lorentz ratio, insulator resistivity boundary, nonlinear entropy as manifestations of the same MIC. The recently observed nematicity and hidden magnetic order are related to the PG pair intra charge and spin fluctuations. We will try to obtain an answer to the question; why ground state of YBCO is Fermi liquid oscillating and of Bi-2212 is insulating? We will also clarify the physics of the recently observed MIC results of Lalibert et al. [arXiv:1606.04491] and explain the long-discussed transition of the electric charge density from doping to doping+1 dependence at the critical doping. We predict that at the upturns this density should have the temperature dependences n ∼ T 3 n 2 for T → 0, where n 2 is density for dopings close to the critical value. We understood that the upturns before and after the first critical doping have the same nature. We will find understanding of all above mentioned phenomena within PG pair physics.Keywords: high critical temperature superconductivity, cuprate, metal-insulator-crossover, temperature-doping phase diagram, resistivity temperature upturn, insulating ground state, nematicity and stripe phases, Fermi pockets evolution.

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Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La1.6−xNd0.4SrxCuO4

Cited by 112 publications

References 52 publications

Hall number across a van Hove singularity

Hall number across a van Hove singularity

Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model

Normal state pair nematicity and hidden magnetic order and metal-insulator (fermionboson) crossover origin of pseudogap phase of cuprates II

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