Phase stiffness in an antiferromagnetic superconductor

Metzner, Walter; Yamase, Hiroyuki

doi:10.1103/physrevb.100.014504

Cited by 12 publications

(15 citation statements)

References 30 publications

(44 reference statements)

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“…Results in the incommensurate regime were not presented. For U > U c our results suggest, but do not prove, that it is possible for superfluid stiffness to control T c in the underdoped regime even when there is no coexisting antiferromagnetism, contrary to the results for weak interaction strength 15 .…”

Section: B Hole-doped Cupratescontrasting

confidence: 99%

“…These works, based on mean-field calculations, have come to the conclusion that microscopic coexistence should decrease ρ s 10-14 . Similar conclusions are reached with mean-field equations that use effective interactions generated by the functional renormalization group 15 . But all these theoretical works discard the effect of the strong electron-electron interaction and of the Mott transition, while it is known that the cuprates are doped Mott insulators 16 .…”

Section: Introductionsupporting

confidence: 73%

“…These are seen both in experiments [69][70][71][72][73] and in infinite-lattice calculations using methods that are valid for weak- [74][75][76] to intermediate-strength interaction 77 . A preprint that appeared as this paper was prepared 15 obtains results similar to ours in the hole-doped regime using meanfield parameters obtained from functional renormalization group. Even though the superfluid stiffness is similar to ours, its fall towards half-filling is caused by coexistence with commensurate antiferromagnetism.…”

Section: B Hole-doped Cupratessupporting

confidence: 59%

“…The authors noted that finite-temperature effects were likely to influence the results in the latter case, as also suggested in Ref. 15.…”

Section: Discussionmentioning

confidence: 53%

“…On the electron-doped side, our results suggest that it is the competition between AF and dSC that is most important even near optimal doping. This is suggested both by the value of the superconducting order parameter and by the superfluid stiffness ρ zz that jumps down 15 and then drops precipitously as soon as antiferromagnetism starts to coexist with superconductivity, a prediction for experiment. Just above that doping, ρ zz takes its largest value.…”

Section: Discussionmentioning

confidence: 96%

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Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

et al. 2019

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Superfluid stiffness ρs is a defining characteristic of the superconducting state, allowing phase coherence and supercurrent. It is accessible experimentally through the penetration depth. Coexistence of d-wave superconductivity with other phases in underdoped cuprates, such as antiferromagnetism (AF) or charge-density waves (CDW), may drastically alter ρs. To shed light on this physics, the zero-temperature value of ρs = ρzz along the c-axis was computed for different values of Hubbard interaction U and different sets of tight-binding parameters describing the high-temperature superconductors YBCO and NCCO. We used Cellular Dynamical Mean-Field Theory for the one-band Hubbard model with exact diagonalization as impurity solver and state-of-the-art bath parametrization. We conclude that Mott physics plays a dominant role in determining the superfluid stiffness on the hole-doped side of the phase diagram. On the electron-doped side, antiferromagnetism wins over superconductivity near half-filling. But upon approaching optimal electron-doping, homogeneous coexistence between superconductivity and antiferromagnetism causes the superfluid stiffness to drop sharply. Hence, on the electron-doped side, it is competition between antiferromagnetism and d-wave superconductivity that plays a dominant role in determining the value of ρzz near half-filling. At large overdoping, ρzz behaves in a more BCS-like manner in both the electron-and hole-doped cases. We comment on some qualitative implications of these results for the superconducting transition temperature.

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Section: B Hole-doped Cupratescontrasting

confidence: 99%

Section: Introductionsupporting

confidence: 73%

Section: B Hole-doped Cupratessupporting

confidence: 59%

“…The authors noted that finite-temperature effects were likely to influence the results in the latter case, as also suggested in Ref. 15.…”

Section: Discussionmentioning

confidence: 53%

Section: Discussionmentioning

confidence: 96%

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Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

et al. 2019

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Giant amplification of Berezinskii-Kosterlitz-Thouless transition temperature in superconducting systems characterized by cooperative interplay of small-gapped valence and conduction bands

Midei,

Perali

2024

Phys. Scr.

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Two-dimensional superconductors and electron-hole superfluids in van der Waals heterostructures having tunable valence and conduction bands in the electronic spectrum are emerging as rich platforms to investigate novel quantum phases and topological phase transitions. In this work, by adopting a mean-field approach considering multiple-channel pairings and the Kosterlitz-Nelson criterion, we demonstrate giant amplifications of the Berezinskii-Kosterlitz-Thouless (BKT) transition temperature and a shrinking of the pseudogap for small energy separations between the conduction and valence bands and small density of carriers in the conduction band. The presence of the holes in the valence band, generated by intra-band and pair-exchange couplings, contributes constructively to the phase stiffness of the total system, adding up to the phase stiffness of the conduction band electrons that is boosted as well, due to the presence of the valence band electrons. This strong cooperative effect avoids the suppression of the BKT transition temperature for low density of carriers, that occurs in single-band superconductors where only the conduction band is present. Thus, we predict that in this regime, multi-band superconducting and superfluid systems with valence and conduction bands can exhibit much larger BKT critical temperatures with respect to single-band and single-condensate systems.

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Apical oxygen vibrations dominant role in d-wave cuprate superconductivity and its interplay with spin fluctuations

Rosenstein¹,

Shapiro²

2021

J. Phys. Commun.

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Microscopic theory of a high T c cuprate Bi 2 Sr 2 CaCu 2 O 8+x based on main pairing channel of electrons in CuO planes due to 40mev lateral vibrations of the apical oxygen atoms in adjacent the SrO ionic insulator layer is proposed. The separation between the vibrating charged atoms and the 2D electron gas creates the forward scattering peak leading in turn to the d -wave pairing within Eliashberg formalism. The phonon mode naturally explain the kink in dispersion relation observed by ARPES and the and effect of the O 16 → O 18 isotope substitution in the normal state. To describe the pseudogap physics a single band fourfold symmetric t − t ′ Hubbard model, with the hopping parameters t ′ ∼ − 0.17 t and the on site repulsion e U ∼ 6t. It described the Mott insulator at low doping, while at higher dopping the pseudogap physics (still strongly correlated) can be be approximated by the symmetrized mean field model and with renormalized U incorporating screening. The location of the transition line T *between the locally antiferromagnetic pseudogap and the paramagnetic overdoped phases and susceptibility (describing spin fluctuations coupling to 2DEG) are also obtained within this approximation. The superconducting d - wave gap mainly due to the phonon channel but is assisted by the spin fluctuations (15%–20%). The dependence of the gap and T c on doping and effect of the isotope substitution are obtained and is consistent with experiments.

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Phase stiffness in an antiferromagnetic superconductor

Cited by 12 publications

References 30 publications

Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

Giant amplification of Berezinskii-Kosterlitz-Thouless transition temperature in superconducting systems characterized by cooperative interplay of small-gapped valence and conduction bands

Apical oxygen vibrations dominant role in d-wave cuprate superconductivity and its interplay with spin fluctuations

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