Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors

Atkinson, W. A.; Kampf, Arno P.; Bulut, Sinan

doi:10.1103/physrevb.93.134517

Cited by 9 publications

(10 citation statements)

References 101 publications

(184 reference statements)

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“…Notably: we have made no attempt to incorporate a realistic model for the CuO chains, but rather make the system orthorhombic by introducing a hopping anisotropy; our disorder model [Eq. (12)] is chosen for computational convenience and does not capture the leading source of disorder in YBCO 6+x , namely oxygen disorder in the CuO chains; and to compensate for finite-size effects we have inflated V pd , which leads to an overly-large CDW amplitude and transition temperature. For these reasons, we use the BdG calculations as a qualitative tool to establish the generic physics of the weak-coupling model.…”

Section: B Resultsmentioning

confidence: 99%

“…Following Ref. 12, we write the CDW potential energy as VCDW = kσ α,β ± P αβσ (k, ±q)c † αk± q 2 σ c βk∓ q 2 σ (41) where P αβσ (k, q) is a 6 × 6 matrix in orbital space. For short-range interactions, the k and q dependence is simplified by expanding in terms of a set of 38 basis functions g αβ (k) [see Table I of Ref.…”

Section: Discussionmentioning

confidence: 99%

“…The discovery of widespread charge ordering has led to interesting questions about the role of strong correlations in CDW formation, 1,2 the connection to the pseudogap, [3][4][5][6] and the possible entanglement of multiple order parameters. [7][8][9][10][11][12] Despite the ubiquity of the CDWs, their detailed structure has only been established in certain special cases.…”

Section: Introductionmentioning

confidence: 99%

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Structure of the charge density wave in cuprate superconductors: Lessons from NMR

2018

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Using a mix of numerical and analytic methods, we show that recent NMR 17 O measurements provide detailed information about the structure of the charge-density wave (CDW) phase in underdoped YBa2Cu3O6+x. We perform Bogoliubov-de Gennes (BdG) calculations of both the local density of states and the orbitally resolved charge density, which are closely related to the magnetic and electric quadrupole contributions to the NMR spectrum, using a microscopic model that was shown previously to agree closely with x-ray experiments. The BdG results reproduce qualitative features of the experimental spectrum extremely well. These results are interpreted in terms of a generic "hotspot" model that allows one to trace the origins of the NMR lineshapes. We find that four quantities-the orbital character of the Fermi surface at the hotspots, the Fermi surface curvature at the hotspots, the CDW correlation length, and the magnitude of the subdominant CDW component-are key in determining the lineshapes. arXiv:1710.08881v3 [cond-mat.str-el]

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Section: B Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Structure of the charge density wave in cuprate superconductors: Lessons from NMR

2018

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“…37,61) These different charge-order tendencies are driven by the spin-spin interaction such as the J-term and can be handled on an equal footing in a large-N theory of the t-J model on a square lattice. In the hole-doped region, a large number of theoretical studies 119,[164][165][166][167][168][169][170][171][172] including the large-N theory 37) were performed, but the consensus has not been obtained on the understanding of the RIXS data. [15][16][17] Given the fact that the charge ordering tendency was observed inside the pseudogap phase, 6) but calculations did not handle the pseudogap appropriately, the pseudogap seems to play an important role to stabilize the charge orders.…”

Section: Discussionmentioning

confidence: 99%

Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors

Yamase

2021

Preprint

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Journal of the Physical Society of JapanThe parent compound of high-T c cuprate superconductors is a Mott insulator described by the Heisenberg spin-spin interaction on a square lattice. With carrier doping, the charge degree of freedom becomes active and both spin and charge couple to each other, leading to very rich physics including high-T c superconductivity. In this article, we focus on the charge degree of freedom and review theoretical insights into the electronic nematic order, bond-charge orders, and plasmons. The low-energy charge dynamics is controlled by the spin-spin interaction J, which generates various bond-charge ordering tendencies including the electronic nematic order. The nematic order is driven by a d-wave Pomeranchuk instability and is pronounced in the underdoped region as well as around van Hove filling in the hole-doped case; the nematic tendency is weak in the electron-doped region. Nematicity consistent with the d-wavePomeranchuk instability was reported for hole-doped cuprates in various experiments such as inelastic neutron scattering, angle-resolved photoemission spectroscopy, Compton scattering, electronic Raman scattering, and measurements of Nernst coefficients and magnetic torque.Although the t-J and Hubbard models correctly predicted the proximity to the nematic instability in cuprates far before the experimental indications were obtained, full understanding of the charge ordering tendencies in hole-doped cuprates still requires further theoretical studies. In electron-doped cuprates, on the other hand, the d-wave bond-charge excitations around momentum q ≈ (0.5π, 0) explain the resonant x-ray scattering data very well. Plasmon excitations are also present and the agreement between the large-N theory of the t-J model and resonant inelastic x-ray scattering measurements is nearly quantitative in both hole-and electron-doped cuprates. Theoretically the charge dynamics in cuprates is summarized as a dual structure in energy space: the low-energy region scaled by J, where the nematic and various bond-charge orders are relevant, and the high-energy region typically larger than J, where plasmons are predominant. We hope that the present article serves for a sound basis toward further experimental and theoretical studies on the origin of the pseudogap and ultimately the high-T c mechanism.

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“…The circulating currents scenario for T − P breaking has also been discussed in other several microscopic models. [84][85][86][87][88][89] However, numerical analysis 90,91 and quantum variational Monte-Carlo study 92 have challenged the existence and stability of such currents. In addition to microscopic models, phenomenological theories have also explored discrete symmetry breaking in the PG state.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Incipient loop-current order in the underdoped cuprate superconductors

2019

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There are growing experimental evidence which indicate discrete symmetry breaking like parity, time-reversal and C4 lattice rotation in the pseudo-gap state of the under-doped copper-oxide based (cuprate) superconductors. The discrete symmetry breaking manifests a true phase transition to an ordered state. A detailed thermodynamic understanding of these orders can answer various puzzles related to the nature of the transition at the pseudogap temperature T * . In this work, we investigate thermodynamic signature of parity and time-reversal symmetry breaking within a theory of two kinds of instabilities in particle-particle (p-p) and particle-hole (p-h) channels in the pseudo-gap state. The p-p and p-h instabilities correspond to superconductivity (SC) and bond-excitonic (BDW) orders respectively. The BDW can generate both modulating charge and current densities. This scenario leads to an intricate competition between the ubiquitous charge density wave and SC, which is prominent in various cuprates in the under-doped regime. We show that a mean-field ground state of coexisting BDW and SC can spontaneously break the parity and time-reversal symmetry below superconducting critical temperature, provided the BDW itself breaks the time-reversal and parity. We describe that an auxiliary order parameter, referred as magneto-electric loop current (MELC) order, can be constructed from a composite of BDW and SC fields. We demonstrate that the MELC order spontaneously breaks parity and time-reversal symmetry and emerges due to a preemptive phase transition at a higher temperature before the primary orders set in.

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Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors

Cited by 9 publications

References 101 publications

Structure of the charge density wave in cuprate superconductors: Lessons from NMR

Structure of the charge density wave in cuprate superconductors: Lessons from NMR

Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors

Incipient loop-current order in the underdoped cuprate superconductors

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