Instability towards staggered loop currents in the three-orbital model for cuprate superconductors

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

doi:10.1103/physrevb.92.195140

Cited by 14 publications

(12 citation statements)

References 60 publications

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“…The Emery model has been studied using several different numerical approaches: exact diagonalization [23,24], cluster perturbation theory [25], generalized random phase approximation [26], quantum Monte Carlo [27][28][29], density matrix renormalization group [30] and dynamical mean field theory or its cluster generalizations [31]. Here we use the CP-AFQMC method [13,14], which controls the fermion sign problem with a CP approximation that can be systematically improved via a self-consistency procedure [15].…”

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confidence: 99%

Metal-insulator transition in the ground state of the three-band Hubbard model at half filling

et al. 2019

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The three-band Hubbard model is a fundamental model for understanding properties of the Copper-Oxygen planes in cuprate superconductors. We use cutting-edge auxiliary-field quantum Monte Carlo (AFQMC) methods to investigate ground state properties of the model in the parent compound. Large supercells combined with twist averaged boundary conditions are studied to reliably reach the thermodynamic limit. Benchmark quality results are obtained on the magnetic correlations and charge gap. A key parameter of this model is the charge-transfer energy ∆ between the Oxygen p and the Copper d orbitals, which appears to vary significantly across different families of cuprates and whose ab initio determination is subtle. We show that the system undergoes a quantum phase transition from an antiferromagnetic insulator to a paramagnetic metal as ∆ is lowered to 3 eV. arXiv:1807.06139v1 [cond-mat.supr-con]

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confidence: 99%

Metal-insulator transition in the ground state of the three-band Hubbard model at half filling

et al. 2019

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“…However, it can be shown that the order parameter D induces a staggered pattern of currents flowing through the lattice. The current between the lattice sites i and j is given by 124 :…”

Section: Phase Diagram For a Simplified Modelmentioning

confidence: 99%

Charge and current orders in the spin-fermion model with overlapping hot spots

Volkov

Efetov

2018

Phys. Rev. B

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Experiments carried over the last years on the underdoped cuprates have revealed a variety of symmetry-breaking phenomena in the pseudogap state. Charge-density waves, breaking of C4 rotational symmetry as well as time-reversal symmetry breaking have all been observed in several cuprate families. In this regard, theoretical models where multiple non-superconducting orders emerge are of particular interest. We consider the recently introduced (Phys. Rev. B 93, 085131 (2016)) spin-fermion model with overlapping 'hot spots' on the Fermi surface. Focusing on the particle-hole instabilities we obtain a rich phase diagram with the chemical potential relative to the dispersion at (0, π); (π, 0) and the Fermi surface curvature in the antinodal regions being the control parameters. We find evidence for d-wave Pomeranchuk instability, d-form factor charge density waves as well as commensurate and incommensurate staggered bond current phases similar to the d-density wave state. The current orders are found to be promoted by the curvature. Considering the appropriate parameter range for the hole-doped cuprates, we discuss the relation of our results to the pseudogap state and incommensurate magnetic phases of the cuprates.

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“…Many theories for potential candidates of the pseudogap "hidden" order were proposed in the literature in order to try to resolve the above-mentioned discrepancies with the experiments (see, e.g., [25][26][27][28][29][30][31] ). We will not detail those works here, but rather focus on the question whether the Θ II -loop-current order suggested by Ref.…”

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confidence: 99%

Coexistence ofΘII-loop-current order with checkerboardd-wave CDW/PDW order in a hot-spot model for cuprate superconductors

2016

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We investigate the strong influence of the ΘII -loop-current order on both unidirectional and bidirectional d-wave charge-density-wave/pair-density-wave (CDW/PDW) composite orders along axial momenta (±Q0, 0) and (0, ±Q0) that emerge in an effective hot spot model departing from the three-band Emery model relevant to the phenomenology of the cuprate superconductors. This study is motivated by the compelling evidence that the ΘII -loop-current order described by this model may explain groundbreaking experiments such as spin-polarized neutron scattering performed in these materials. Here, we demonstrate, within a saddle-point approximation, that the ΘII -loopcurrent order clearly coexists with bidirectional (i.e. checkerboard) d-wave CDW and PDW orders along axial momenta, but is visibly detrimental to the unidirectional (i.e. stripe) case. This result has potentially far-reaching implications for the physics of the cuprates and agrees well with very recent x-ray experiments on YBCO that indicate that at higher dopings the CDW order has indeed a tendency to be bidirectional.

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Instability towards staggered loop currents in the three-orbital model for cuprate superconductors

Cited by 14 publications

References 60 publications

Metal-insulator transition in the ground state of the three-band Hubbard model at half filling

Metal-insulator transition in the ground state of the three-band Hubbard model at half filling

Charge and current orders in the spin-fermion model with overlapping hot spots

Coexistence ofΘII-loop-current order with checkerboardd-wave CDW/PDW order in a hot-spot model for cuprate superconductors

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