Pseudogaps and Their Interplay with Magnetic Excitations in the Doped 2D Hubbard Model

Preuss, R.; Hanke, W.; Gröber, C.; Evertz, Hans Gerd

doi:10.1103/physrevlett.79.1122

Cited by 122 publications

(118 citation statements)

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“…At 0% doping, the (π, π) spin response peaks strongly at low energy, but it broadens and hardens with increasing doping, as determined by the non-interacting bandwidth. These findings agree with previous DQMC and dynamical cluster approximation calculations [33][34][35] . Due to proximity to the pole in While the DQMC spin susceptibility shows the same doping trend as RPA at (π, π) and (π, 0), suggesting decreasing correlations, the RPA charge susceptibility is dominated by the band edge, unlike DQMC.…”

Section: Fig 2(d1)-(d4)supporting

confidence: 93%

“…Figure 3 summarizes the hole doping evolution of the charge susceptibilities as calculated using DQMC [(a1)-(a3)] and RPA [(b1)-(b3)] throughout the first Brillouin zone. Along both the nodal and antinodal cuts, the spectral weight of the response evaluated using DQMC is located at high energies (determined at 0% doping by the Hubbard U ) and the spectra show a charge gap that decreases with doping 33,34 . On the other hand, the RPA susceptibility shows no charge gap and is dominated by the peak in the Lindhard susceptibility at the band edge.…”

Section: Fig 2(d1)-(d4)mentioning

confidence: 99%

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Doping evolution of spin and charge excitations in the Hubbard model

et al. 2015

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To shed light on how electronic correlations vary across the phase diagram of the cuprate superconductors, we examine the doping evolution of spin and charge excitations in the single-band Hubbard model using determinant quantum Monte Carlo (DQMC). In the single-particle response, we observe that the effects of correlations weaken rapidly with doping, such that one may expect the random phase approximation (RPA) to provide an adequate description of the two-particle response. In contrast, when compared to RPA, we find that significant residual correlations in the two-particle excitations persist up to 40% hole and 15% electron doping (the range of dopings achieved in the cuprates). These fundamental differences between the doping evolution of single-and multi-particle renormalizations show that conclusions drawn from single-particle processes cannot necessarily be applied to multi-particle excitations. Eventually, the system smoothly transitions via a momentumdependent crossover into a weakly correlated metallic state where the spin and charge excitation spectra exhibit similar behavior and where RPA provides an adequate description.

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Section: Fig 2(d1)-(d4)supporting

confidence: 93%

Section: Fig 2(d1)-(d4)mentioning

confidence: 99%

Doping evolution of spin and charge excitations in the Hubbard model

et al. 2015

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“…The transition to the paramagnetic phase occurs when the lower VHS gets too close to the Fermi level. Note that the doping dependence already does a good job of reproducing the photoemission data on the large pseudogap (consistent with the results of Preuss, et al 65 ), but cannot reproduce the small, ∼ 25meV pseudogap. On the other hand, when V ep = 0, the paramagnetic phase near optimal doping clearly displays a gap consistent with the small pseudogap, Fig.…”

Section: Pseudogaps In the Underdoped Regimesupporting

confidence: 76%

Stripes, pseudogaps, and Van Hove nesting in the three-bandt-Jmodel

Markiewicz

1997

Phys. Rev. B

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Slave boson calculations have been carried out in the threeband tJ model for the high-Tc cuprates, with the inclusion of coupling to oxygen breathing mode phonons. Phononinduced Van Hove nesting leads to a phase separation between a hole-doped domain and a (magnetic) domain near half filling, with long-range Coulomb forces limiting the separation to a nanoscopic scale. Strong correlation effects pin the Fermi level close to, but not precisely at the Van Hove singularity (VHS), which can enhance the tendency to phase separation.The resulting dispersions have been calculated, both in the uniform phases and in the phase separated regime. In the latter case, distinctly different dispersions are found for large, random domains and for regular (static) striped arrays, and a hypothetical form is presented for dynamic striped arrays. The doping dependence of the latter is found to provide an excellent description of photoemission and thermodynamic experiments on pseudogap formation in underdoped cuprates. In particular, the multiplicity of observed gaps is explained as a combination of flux phase plus charge density wave (CDW) gaps along with a superconducting gap. The largest gap is associated with VHS nesting. The apparent smooth evolution of this gap with doping masks a crossover from CDW-like effects near optimal doping to magnetic effects (flux phase) near half filling. A crossover from large Fermi surface to hole pockets with increased underdoping is found. In the weakly overdoped regime, the CDW undergoes a quantum phase transition (TCDW → 0), which could be obscured by phase separation.

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“…In other words, by exaggerating the magnetism these models confuse the issue rather than clarifying it. There is no persuasive evidence for superconductivity in the hubbard model 23,24,25,26 .The purpose of this letter is to propose a new strategy for resolving the cuprate dilemma. Rather than struggle to diagonalize a conflicted hamiltonian, we shall modify the equations of motion to stabilize the gossamer superconductor.…”

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confidence: 99%

Gossamer superconductivity

Laughlin

2006

Philosophical Magazine

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An new superconducting hamiltonian is introduced for which the exact ground state is the Anderson resonating valence bond. It differs from the t-J and hubbard hamiltonians in possessing a powerful attractive force. Its superconducting state is characterized by a full and intact d-wave tunneling gap, quasiparticle photoemission intensities that are strongly suppressed, a suppressed superfluid density, and an incipient Mott-Hubbard gap.PACS numbers: 74.20.Mn, 71.10.Fd, 71.10.Pm It has been known since the early work of Uemura 1 that the superfluid density and transition temperature of underdoped cuprate superconductors both vanish more-orless linearly with doping and are proportional. The constant of proportionality is consistent with the transition being an order-parameter phase instability analogous to the Kosterlitz-Thouless transition in 2 dimensions 3 . This idea is supported by numerous other experiments, including the optical sum rule studies of Uchida 2 , the giant proximity effect reported by Decca et al 4 , and the recent heat-transport measurements of Wang et al 5 showing superconducting vortex-like effects above the transition temperature. The transport trends continue into the insulator, where Ando 6 reports that high-temperature hall effect consistent with a carrier density roughly proportional to doping. At the same time, however, the d-wave gap in the quasiparticle spectrum grows monotonically as the doping decreases and saturates at a value of about 0.3 eV 7,8,9,10 . This has led to speculations that the tunneling pseudogap is the energy to make a pre-formed Cooper pair, which then condenses into a superfluid at a lower temperature. There is no direct evidence that the d-wave nodal structure survives into the insulator, but there is circumstantial evidence for this, notably the observation in La 2−x Sr x CuO 4 by Yoshida et al 11 of dispersing quasiparticle bands near the d-wave node that become fainter as doping is reduced but do not shift or change their velocity scale. These bands are also detached from the lower Hubbard band, and simply materialize in mid-gap as the doping is increased from zero.All of this behavior is consistent with the idea that the superconductivity persists deep into the "insulating" state, coexists with antiferromagnetism there, and fails to conduct only because its long-range order is disrupted, presumably on account of its low superfluid density 12 . There are many ways the latter could occur, including impurity localization or crystallization of the order parameter, for such a gossamer superconductor is physically equivalent to a dilute gas of bosons and thus highly unstable.The idea that the "insulator" might actually be a thin, ghostly superconductor is implicit in the mathematics of the Anderson resonating valence bond (RVB) 13 worked out by various authors in the late 1980s 14,15,16 and further extended recently by Paramehanti, Randeria, and Trivedi 17 . Unfortunately, this idea has always run afoul of a basic premise of RVB theory that superconductivity shoul...

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Pseudogaps and Their Interplay with Magnetic Excitations in the Doped 2D Hubbard Model

Cited by 122 publications

References 18 publications

Doping evolution of spin and charge excitations in the Hubbard model

Doping evolution of spin and charge excitations in the Hubbard model

Stripes, pseudogaps, and Van Hove nesting in the three-bandt-Jmodel

Gossamer superconductivity

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