Pseudogap and Antiferromagnetic Correlations in the Hubbard Model

Macridin, Alexandru; Jarrell, Mark; Maier, Thomas; Kent, Paul; D'Azevedo, Eduardo F.

doi:10.1103/physrevlett.97.036401

Cited by 151 publications

(185 citation statements)

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“…Several studies have already shown that the Hubbard model treated within cluster DMFT on a 2 by 2 plaquette successfully describes many properties of the high temperature superconductors. For example the competition of antiferromagnetism and superconductivity [35][36][37][38][39] , the existence of a pseudogap at low doping [40][41][42][43][44][45][46] , and the formation of Fermi arcs 43,44,47,48 . These phenomena involve short range non local correlations.…”

Section: Introductionmentioning

confidence: 99%

Strongly correlated superconductivity: A plaquette dynamical mean-field theory study

2007

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We use cluster Dynamical Mean Field Theory to study the simplest models of correlated electrons, the Hubbard model and the t-J model. We use a plaquette embedded in a medium as a reference frame to compute and interpret the physical properties of these models. We study various observables such as electronic lifetimes, one electron spectra, optical conductivities, superconducting stiffness, and the spin response in both the normal and the superconducting state in terms of correlation functions of the embedded cluster. We find that the shortest electron lifetime occurs near optimal doping where the superconducting critical temperature is maximal. A second critical doping connected to the change of topology of the Fermi surface is also identified. The mean field theory provides a simple physical picture of three doping regimes, the underdoped, the overdoped and the optimally doped regime in terms of the physics of the quantum plaquette impurity model. We compare the plaquette Dynamical Mean Field Theory results with earlier resonating valence bond mean field theories, noting the improved description of the momentum space anisotropy of the normal state properties and the doping dependence of the coefficient of the linear temperature dependence of the superfluid density in the superconducting state.

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Section: Introductionmentioning

confidence: 99%

Strongly correlated superconductivity: A plaquette dynamical mean-field theory study

2007

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“…The pioneering work of Huscroft et al [22] showed the existence of a normal-state pseudogap in the dynamical mean field approximation and many authors (using mainly N = 4 approximations) have studied its properties [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] and several groups (still within the 4-site approximation) have studied the interplay of superconductivity and the pseudogap [31,[42][43][44][45][46]. A key finding of the 4-site work, in contrast to the larger-cluster studies of Ref.…”

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confidence: 99%

Superconductivity and the Pseudogap in the Two-Dimensional Hubbard Model

2013

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Recently developed numerical methods have enabled the explicit construction of the superconducting state of the Hubbard model of strongly correlated electrons in parameter regimes where the model also exhibits a pseudogap and a Mott insulating phase. d x 2 −y 2 symmetry superconductivity is found to occur in proximity to the Mott insulator, but separated from it by a pseudogapped nonsuperconducting phase. The superconducting transition temperature and order parameter amplitude are found to be maximal at the onset of the normal-state pseudogap. The emergence of superconductivity from the normal state pseudogap leads to a decrease in the excitation gap. All of these features are consistent with the observed behavior of the copper-oxide superconductors. where ε p = −2t(cos p x + cos p y ) + 4t ′ cos p x cos p y an electron dispersion and U > 0 a local interaction which disfavors double occupancy of a site.In the years since Anderson's paper, the interplay of the pseudogap and superconductivity and the relation of both to the Hubbard model have been of central interest to condensed matter physicists. The existence of dwave superconductivity in the Hubbard model has been demonstrated by perturbative analytic calculations [4] (later improved by renormalization group methods [5, 6]) and by numerics [7, 8]. The issue of the pseudogap has been more controversial. It has been variously argued that the pseudogap is a signature of unusual superconducting fluctuations [9][10][11], of a competing nonsuperconducting phase or regime [3, 12], or of physics not contained in the Hubbard model [13]. Theoretical determination of the interplay of the pseudogap and superconductivity in the Hubbard model is important in helping resolve this controversy, and will provide insight into the pseudogap phenomenon and into strongly correlated superconductivity more generally, but this requires access to intermediate or strong couplings for which perturbation theory is inadequate. The development of cluster dynamical mean field theory [15] has provided important nonperturbative information about the Hubbard model. Dynamical mean field theory approximates the electron self-energy in terms of a finite number of auxiliary functions determined from the solution of an N -site quantum impurity model and becomes exact as N tends to infinity. In this Letter we use dynamical mean field methods to determine the interplay of superconductivity and the pseudogap in the Hubbard model. This is challenging because the theory

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“…Calculations using embedded cluster methods [4], e.g., the dynamical cluster approximation (DCA) reproduce a k-dependent pseudogap for the Hubbard model [6][7][8][9][10][11][12][13]. Ferrero et al [14] discussed small embedded clusters in terms of a transition between a state where the cluster orbitals form Kondo-states with the bath and a state where the cluster forms a bound state and a pseudogap.…”

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confidence: 99%