Flux phases in the<i>t</i>-<i>J</i>model

Ubbens, Menke U.; Lee, Patrick A.

doi:10.1103/physrevb.46.8434

Cited by 135 publications

(151 citation statements)

References 17 publications

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“…A particularly interesting case is the cuprate high-temperature superconductors, where the parent and SC phases do not appear to coexist but the phase competition is actually intensified by the emerging of a "strange metal" normal state with pseudogap opening at a temperature T * well above T c in the underdoped regime [5]. The origin of the pseudogap has been controversial, being attributed to preformation of Cooper pairs [16][17][18][19][20][21] or a hidden CO such as d-density wave (DDW) [22][23][24][25][26][27], spin-density wave (SDW) [28][29][30][31], loop-current [32], nematic or stripe order [33][34][35][36][37][38], and pair density wave [39,40], etc. It has been observed that upon doping, T * decreases gradually in the normal state above the T c dome, and enters into the SC dome near the optimal doping level at x OP .…”

Section: Introductionmentioning

confidence: 99%

Phase competition and anomalous thermal evolution in high-temperature superconductors

Zhou

Yin

et al. 2017

Phys. Rev. B

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The interplay of competing orders is relevant to high-temperature superconductivity known to emerge upon suppression of a parent antiferromagnetic order typically via charge doping. How such interplay evolves at low temperature-in particular at what doping level the zero-temperature quantum critical point (QCP) is located-is still elusive because it is masked by the superconducting state. The QCP had long been believed to follow a smooth extrapolation of the characteristic temperature T * for the strange normal state well above the superconducting transition temperature. However, recently the T * within the superconducting dome was reported to unexpectedly exhibit back-bending likely in the cuprate Bi2Sr2CaCu2O 8+δ . Here we show that the original and revised phase diagrams can be understood in terms of weak and moderate competitions, respectively, between superconductivity and a pseudogap state such as d-density-wave or spin-density-wave, based on both Ginzburg-Landau theory and the realistic t-t ′ -t ′′ -J-V model for the cuprates. We further found that the calculated temperature and doping-level dependence of the quasiparticle spectral gap and Raman response qualitatively agrees with the experiments. In particular, the T * back-bending can provide a simple explanation of the observed anomalous two-step thermal evolution dominated by the superconducting gap and the pseudogap, respectively. Our results imply that the revised phase diagram is likely to take place in high-temperature superconductors.

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Section: Introductionmentioning

confidence: 99%

Phase competition and anomalous thermal evolution in high-temperature superconductors

Zhou

Yin

et al. 2017

Phys. Rev. B

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“…The normal state Fermi surface at doping x = 0.12 for this dispersion is shown in Fig.1. The mean-field parameters χ 0 , ∆ 0 and the chemical potential µ for different dopings are obtained from a self-consistent calculation [17]. It has been shown [8,18,19] that the inclusion of the AF fluctuation correction is necessary to account for some of the spin and charge dynamics.…”

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confidence: 99%

“…In the slave-boson approach to the t − t ′ − J model [8,17], the physical electron operators c iσ are expressed by slave bosons b i carrying the charge and fermions f iσ representing the spin; c iσ = b + i f iσ . In the SC state, we consider the order parameters ∆ ij =< f i↑ f j↓ − f i↓ f j↑ >= ±∆ 0 with the d-wave symmetry and…”

mentioning

confidence: 99%

Doping dependence of the resonance peak and incommensuration in high-Tcsuperconductors

Gong

2002

Phys. Rev. B

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“…In the SC phase [26][27][28][29][30][31][32], the mean-field Hamiltonian is obtained by decoupling the spin-spin interaction term S i · S j into pairing and direct hopping terms [30], and choosing the mean-field…”

Section: B Superconducting Phasementioning

confidence: 99%

Signatures of strong correlation effects in resonant inelastic x-ray scattering studies on cuprates

Lin

Lee

2016

Phys. Rev. B

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Recently, spin excitations in doped cuprates have been measured using resonant inelastic x-ray scattering. The paramagnon dispersions show the large hardening effect in the electron-doped systems and seemingly doping independence in the hole-doped systems, with the energy scales comparable to that of the antiferromagnetic (AFM) magnons. This anomalous hardening effect and the lack of softening were partially explained by using the strong-coupling t − J model but with a three-site term [Nat. Commun. 5, 3314 (2014)], although the hardening effect is already present even without the latter. By considering the t − t − t − J model and using the slave-boson mean-field theory, we obtain, via the spin-spin susceptibility, the spin excitations in qualitative agreement with the experiments. The doping-dependent bandwidth due to the strong correlation physics is the origin of the hardening effect. We also show that dispersions in the AFM regime, different from those in the paramagnetic (PM) regime, hardly vary with dopant density. These excitations are mainly collective in nature instead of particle-hole-like. We further discuss the interplay and different contributions of these two kinds of excitations in the PM phase and show that the dominance of the collective excitation increases with decreasing dopant concentrations.

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Flux phases in thet-Jmodel

Cited by 135 publications

References 17 publications

Phase competition and anomalous thermal evolution in high-temperature superconductors

Phase competition and anomalous thermal evolution in high-temperature superconductors

Doping dependence of the resonance peak and incommensuration in high-Tcsuperconductors

Signatures of strong correlation effects in resonant inelastic x-ray scattering studies on cuprates

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