Broken rotational symmetry on the Fermi surface of a high-Tc superconductor

Ramshaw, B. J.; Harrison, N.; Sebastian, Suchitra E.; Ghannadzadeh, Saman; Modic, K. A.; Bonn, D. A.; Hardy, W. N.; Liang, Ruixing; Goddard, Paul

doi:10.1038/s41535-017-0013-z

Cited by 16 publications

(24 citation statements)

References 74 publications

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“…This can be considered as an indication of a contribution from the d-density wave state originally proposed for YBCO [76]. It has been suggested that the breaking of fourfold symmetry around the planar copper atoms is a common aspect of the FS reconstruction in the cuprates [77]. We see no evidence for a macroscopic symmetry breaking of this form in Hg1201.…”

Section: Nature Of the Atomic Displacements Associated With The CDmentioning

confidence: 47%

Synchrotron x-ray scattering study of charge-density-wave order in HgBa2CuO4+δ

Tabiś

Bialo

et al. 2017

Phys. Rev. B

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We present a detailed synchrotron x-ray scattering study of the charge-density-wave (CDW) order in simple tetragonal HgBa 2 CuO 4+δ (Hg1201). Resonant soft x-ray scattering measurements reveal that short-range order appears at a temperature that is distinctly lower than the pseudogap temperature and in excellent agreement with a prior transient reflectivity result. Despite considerable structural differences between Hg1201 and YBa 2 Cu 3 O 6+δ , the CDW correlations exhibit similar doping dependencies, and we demonstrate a universal relationship between the CDW wave vector and the size of the reconstructed Fermi pocket observed in quantum oscillation experiments. The CDW correlations in Hg1201 vanish already below optimal doping, once the correlation length is comparable to the CDW modulation period, and they appear to be limited by the disorder potential from unit cells hosting two interstitial oxygen atoms. A complementary hard x-ray diffraction measurement, performed on an underdoped Hg1201 sample in magnetic fields along the crystallographic c axis of up to 16 T, provides information on the form factor of the CDW order. As expected from the single-CuO 2 -layer structure of Hg1201, the CDW correlations vanish at half-integer values of L and appear to be peaked at integer L. We conclude that the atomic displacements associated with the short-range CDW order are mainly planar, within the CuO 2 layers.

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Section: Nature Of the Atomic Displacements Associated With The CDmentioning

confidence: 47%

Synchrotron x-ray scattering study of charge-density-wave order in HgBa2CuO4+δ

Tabiś

Bialo

et al. 2017

Phys. Rev. B

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“…This complicates attempts to associate particular features of the transport, even apparent singularities, with specific ordering tendencies. Given the considerable evidence of a tendency to nematic order in the cuprates [24][25][26][27][28], we have undertaken to show that a nematic transition could produce a doping dependence of the Hall number similar to that seen in experiment. However, this is merely a consistency check; similar behavior of n H was predicted on the basis of an assumed dDW transition [12], and has been postdicted on the basis of assumed transitions involving spin or charge density wave (CDW) order [29][30][31], spiral antiferromagnetism [32], or a transition to an "FL* phase" [33,34].…”

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confidence: 99%

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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“…Interlayer ADMR measurements of YBCO have been used to determine that its in-plane Fermi surface shape is most likely a square or diamond, which is consistent with a CDW reconstruction. 17 However, the bilayer splitting in YBCO made it difficult to pinpoint the interlayer warping of the Fermi surfaces in that study. Since Hg1201 only has a single copper-oxygen plane per unit cell, it avoids this complication.…”

Section: Introductionmentioning

confidence: 88%

Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa2CuO4+δ

Lewin

Analytis

2018

Phys. Rev. B

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We develop a model for the angle-dependent magnetoresistance of HgBa2CuO 4+δ in the underdoped regime where the Fermi surface is thought to be reconstructed by an ordered state such as a charge density wave. We show that such measurements can be employed to unambiguously distinguish the form of the Fermi surface's interlayer warping, placing severe contraints on the symmetry and nature of the reconstructing order. We describe experimentally accessible conditions in which our calculations can be put to the test. arXiv:1802.03514v1 [cond-mat.supr-con]

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Broken rotational symmetry on the Fermi surface of a high-Tc superconductor

Cited by 16 publications

References 74 publications

Synchrotron x-ray scattering study of charge-density-wave order in HgBa2CuO4+δ

Synchrotron x-ray scattering study of charge-density-wave order in HgBa2CuO4+δ

Hall number across a van Hove singularity

Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa2CuO4+δ

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